Download JNTU Kakinada (Jawaharlal Nehru Technological University, Kakinada) M.Tech (Master of Technology) R16 Machine Design Course Structure And Detailed Syllabus R16
COURSE STRUCTURE
For
MACHINE DESIGN
(Applicable for batches admitted from 2016-2017)
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY: KAKINADA
KAKINADA - 533 003, Andhra Pradesh, India
I Semester
S.No.
Subject
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Computational Methods in Engineering
4
--
3
2
Advanced Mechanics of Solids
4
--
3
3
Advanced Mechanisms
4
--
3
4
Mechanical Vibrations
4
--
3
Elective ? I
1. Design of Automobile Systems
5
2. Product Design
4
--
3
3. Geometric Modeling
4. Non Destructive Evaluation
Elective ? II
1. Fracture Mechanics
6
2. Gear Engineering
4
--
3
3. Design for Manufacturing & Assembly
4. Continuum Mechanics
7
Machine Dynamics Lab
--
3
2
Total Credits
20
II Semester
S.No.
Subject
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1
Optimization and Reliability
4
--
3
2
Experimental Stress Analysis
4
--
3
3
Finite Element Method
4
--
3
4
Design with advanced Materials
4
--
3
Elective ? III
1. Tribology
5
2. Signal Analysis and Condition Monitoring
4
--
3
3. Computational Fluid Dynamics
4. Design Synthesis
Elective-IV
1. Pressure Vessel Design
6
2. Mechanics of Composite Materials
4
--
3
3. Mechatronics
4. Theory of Plasticity
7
Design Practice Lab
--
3
2
Total Credits
20
III Semester
S. No.
Subject
L
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Credits
1
Comprehensive Viva-Voce
--
--
2
2
Seminar ? I
--
--
2
3
Project Work Part - I
--
--
16
Total Credits
20
IV Semester
S. No.
Subject
L
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Credits
1
Seminar ? II
--
--
2
2
Project Work Part - II
--
--
18
Total Credits
20
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I Year I Semester
C O M P U T A T I O N A L M E T H O D S
I N E N G I N E E R I N G
4
0
3
Unit ? I
Introduction to numerical methods applied to engineering problems: Examples, solving sets
of equations ? Matrix notation ? Determinants and inversion ? Iterative methods ? Relaxation
methods ? System of non-linear equations. Least square approximation fitting of non-linear
curves by least squares ?regression analysis- multiple linear regression, non linear regression -
computer programs.
Unit ? II
Boundry value problems and charecteristic value problems: Shooting method ? Solution
through a set of equations ? Derivative boundary conditions ? Rayleigh ? Ritz method ?
Characteristic value problems.
Unit ? III
Transformation Techniques: Continuous fourier series, frequency and time domains, laplace
transform, fourier integral and transform, discrete fourier transform (DFT), Fast fourier
transform (FFT).
Unit ? IV
Numerical solutions of partial differential equations: Laplace's equations ? Representations
as a difference equation ? Iterative methods for Laplace's equations ? poisson equation ?
Examples ? Derivative boundary conditions ? Irregular and non ? rectangular grids ? Matrix
patterns, sparseness ? ADI method ? Finite element method.
Unit ? V
Partial differential equations: Explicit method ? Crank-Nickelson method ? Derivative
boundary condition ? Stability and convergence criteria. Solving wave equation by finite
differences-stability of numerical method ?method of characteristics-wave equation in two space
dimensions-computer programs.
TEXT BOOKS:
1. Steven C.Chapra, Raymond P.Canale "Numerical Methods for Engineers" Tata Mc-Graw Hill
2.Curtis F.Gerald, Partick.O.Wheatly,"Applied numerical analysis"Addison-Wesley,1989
3.Douglas J.Faires,Riched Burden"Numerical methods", Brooks/Cole publishing
company,1998.Second edition.
References:
1.Ward Cheney and David Kincaid "Numerical mathematics and computing" Brooks/Cole
publishing company1999, Fourth edition.
2.Riley K.F,. M.P.Hobson and Bence S.J,"Mathematical methods for physics and
engineering", Cambridge University press,1999.
3. Kreysis, Advanced Mathematics
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I Year I Semester
ADVANCED MECHANICS OF SOLIDS
4
0
3
Unit I
Theories of stress and strain, Definition of stress at a point, stress notation, principal stresses,
other properties, differential equations of motion of a deformable body, deformation of a
deformable body, strain theory, principal strains, strain of a volume element, small displacement
theory.
Stress ?strain temperature relations: Elastic and non elastic response of a solid, first law of
thermodynamics, Hooke's Law, Anisotropic elasticity, Hooke's Law, Isotropic elasticity,
initiation of Yield, Yield criteria.
Unit II
Failure criteria: Modes of failure, Failure criteria, Excessive deflections, Yield initiation,
fracture, Progressive fracture, (High Cycle fatigue for number of cycles N > 106, buckling.
Application of energy methods: Elastic deflections and statically indeterminate members and
structures: Principle of stationary potential energy, Castiglione's theorem on deflections,
Castiglione's theorem on deflections for linear load deflection relations, deflections of statically
determinate structures.
Unit III
Unsymmetrical bending: Bending stresses in Beams subjected to Nonsymmetrical bending;
Deflection of straight beams due to nonsymmetrical bending.
Curved beam theory: Winkler Bach formula for circumferential stress ? Limitations ?
Correction factors ?Radial stress in curved beams ? closed ring subjected to concentrated and
uniform loads-stresses in chain links.
Unit IV
Torsion : Linear elastic solution; Prandtl elastic membrane (Soap-Film) Analogy; Narrow
rectangular cross Section ;Hollow thin wall torsion members ,Multiply connected Cross Section.
Unit V
Contact stresses: Introduction; problem of determining contact stresses; Assumptions on which
a solution for contact stresses is based; Expressions for principal stresses; Method of computing
contact stresses; Deflection of bodies in point contact; Stresses for two bodies in contact over
narrow rectangular area (Line contact), Loads normal to area; Stresses for two bodies in line
contact, Normal and Tangent to contact area.
Textbooks:
1.Advanced Mechanics of materials by Boresi & Sidebottom-Wiely International.
2. Advanced Mechanics of Solids, L.S Srinath
References:
1. Advanced strength of materials by Den Hortog J.P.
2. Theory of plates ? Timoshenko.
3. Strength of materials & Theory of structures (Vol I & II) by B.C Punmia
4. Strength of materials by Sadhu singh
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I Year I Semester
A D V A N C E D M E C H A N I S M S
4
0
3
U n i t - I
Introduction: Elements of Mechanisms; Mobility Criterion for Planar mechanisms and
manipulators; Mobility Criterion for spatial mechanisms and manipulators. Spherical
mechanisms-spherical trigonometry.
U n i t ? I I
Advanced Kinematics of plane motion- I: The Inflection circle ; Euler ? Savary Equation;
Analytical and graphical determination of di ; Bobillier's Construction; Collineastion axis;
Hartmann's Construction ;Inflection circle for the relative motion of two moving planes;
Application of the Inflection circle to kinematic analysis.
Advanced Kinematics of plane motion - II: Polode curvature; Hall's Equation; Polode
curvature in the four bar mechanism; coupler motion; relative motion of the output and input
links; Determination of the output angular acceleration and its Rate of change; Freudenstein's
collineation ?axis theorem; Carter ?Hall circle; The circling ? point curve for the Coupler of of
a four bar mechanism.
U n i t ? I I I
Introduction to Synthesis-Graphical Methods - I: The Four bar linkage ;Guiding a body
through Two distinct positions; Guiding a body through Three distinct positions; The Rotocenter
triangle ; Guiding a body through Four distinct positions; Burmester's curve.
Introduction to Synthesis-Graphical Methods - II: Function generation- General discussion;
Function generation: Relative ?rotocenter method, Overlay's method, Function generation-
Velocity ? pole method; Path generation: Hrones's and Nelson's motion Atlas, Roberts's
theorem.
U n i t ? I V
Introduction to Synthesis - Analytical Methods: Function Generation: Freudenstien's
equation, Precision point approximation, Precision ? derivative approximation; Path Generation:
Synthesis of Four-bar Mechanisms for specified instantaneous condition; Method of
components; Synthesis of Four-bar Mechanisms for prescribed extreme values of the angular
velocity of driven link; Method of components.
U n i t ? V
Manipulator kinematics : D-H transformation matrix ; Direct and Inverse kinematic analysis of
Serial manipulators: Articulated, spherical & industrial robot manipulators- PUMA,
SCARA,STANFORD ARM, MICROBOT.
Text Books:
1. Jeremy Hirschhorn, Kinematics and Dynamics of plane mechanisms,McGraw-Hill,1962.
2. L.Sciavicco and B.Siciliano, Modelling and control of Robot manipulators, Second edition ,
Springer -Verlag,London,2000.
3. Amitabh Ghosh and Ashok Kumar Mallik, Theory of Mechanisms and Machines.
E.W.P.Publishers.
Reference Books:
1. Allen S.Hall Jr., Kinematics and Linkage Design, PHI,1964.
2. J.E Shigley and J.J . Uicker Jr., Theory of Machines and Mechanisms , McGraw-Hill, 1995.
3. Joseph Duffy, Analysis of mechanisms and Robot manipulators, Edward Arnold, 1980
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I Year I Semester
M E C H A N I C A L V I B R A T I O N S
4
0
3
Unit I
Single degree of Freedom systems: Undamped and damped free vibrations: forced vibrations ;
coulomb damping; Response to harmonic excitation; rotating unbalance and support excitation,
Vibration isolation and transmissibility, Vibrometers, velocity meters & accelerometers.
Unit II
Response to Non Periodic Excitations: unit Impulse, unit step and unit Ramp functions; response
to arbitrary excitations, The Convolution Integral; shock spectrum; System response by the
Laplace Transformation method.
Unit III
Multi degree freedom systems: Principal modes ? undamped and damped free and forced
vibrations ; undamped vibration absorbers, Matrix formulation, stiffness and flexibility influence
coefficients; Eigen value problem; normal modes and their properties; Free and forced vibration
by Modal analysis; Method of matrix inversion; Torsional vibrations of multi ? rotor systems and
geared systems; Discrete-Time systems.
Unit IV
Numerical Methods: Rayliegh's, stodola's, Matrix iteration, Rayleigh-Ritz Method and
Holzer's methods
Unit V
Application of concepts: Free vibration of strings ? longitudinal oscillations of bars-transverse
vibrations of beams- Torsional vibrations of shafts. Critical speeds without and with damping,
secondary critical speed.
Text books:
1. Elements of Vibration Analysis by Meirovitch.
2. Mechanical Vibrations by G.K. Groover.
References:
1. Vibrations by W.T. Thomson
2. Mechanical Vibrations ? Schaum series.
3. Vibration problems in Engineering by S.P. Timoshenko.
4. Mechanical Viabrations ? V.Ram Murthy.
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I Year I Semester
4
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3
DESIGN OF AUTOMOBILE SYSTEMS
(ELECTIVE I)
UNIT I
Conceptual design of automobiles: body shape definition based on aerodynamic structure safety,
sub - systems integration considerations, road load analysis, transmission of road loadsto
structure.
UNTI II
Detail design of structural elements, load analysis for different vehicles, safety consideration,
design for bending, torsion conditions, criteria for toppling, based on cornering loads.
UNIT III
Suspension system integration with vehicle for ride comfort, methods of mounting suspension
and power train systems.
UNIT IV
Driver cabin/seat design, design of control systems based on ergonomics, anthropometry, human
factors engineering considerations.
UNIT V
Safety aspects of automobiles, devices, energy absorbing systems, crash worthiness, legislation
relating to safety, vehicle performance requirements, sub systems packaging and verification of
vehicle performance through testing(lab, field testing).
TEXT BOOKS
1 Donald E.Males, Fundamentals of automobile body structure design(R-394), SAE2011
2 W.F.Milliker,D.L.Milliker,Maurice Olly, Chassis design: principles an analysis(R-
206)SAE2002
3. J.H Smith, Modern Vehicle System Design
PRODUCT DESIGN
(ELECTIVE - I)
UNIT- I
Introduction -Need for IPPD ? strategic importance of product development ? integration of
customer, designer, material supplier and process planner, Competitor and costumer ? behavior
analysis. Understanding customer ? promoting customer understanding ? involve customer in
development and managing requirements ? Organization ? process management and
improvement ? Plan and establish product specification.
UNIT - II
CONCEPT GENERATION AND SELECTION: Task ? Structured approaches ? Clarification
? Search ? Externally and internally ? explore systematically ? reflect on the solutions and
process ? concept selection ? methodology ? benefits.
PRODUCT ARCHETECTURE: Implications ? Product change ? variety ? component
standardization ? product performance ? manufacturability.
UNIT - III
PRODUCT DEVELOPMENT MANAGEMENT: Establishing the architecture ? creation ?
clustering ? geometric layout development ? fundamental and incidental interactions ? related
system level design issues ? secondary systems ? architecture of the chunks ? creating detailed
interface specifications.
INDUSTRIAL DESIGN: Integrate process design ? Managing costs ? Robust design ?
Integrating CAE, CAD, CAM tools ? simulating product performance and manufacturing
processing electronically ? Need for industrial design ? impact ? design process.
UNIT - IV
Investigation of customer needs ? conceptualization ? refinement ? management of the industrial
design process ? technology driven products ? user ? driven products ? assessing the quality of
industrial design.
UNIT - V
DESIGN FOR MANUFACTURING AND PRODUCTY DEVELOPMENT: Definition ?
Estimation of manufacturing cost ? reducing the component costs and assembly costs ?
Minimize system complexity. Prototype basics ? Principles of prototyping ? planning for
prototypes ? Economics analysis ? Understanding and representing tasks ? baseline project
planning ? accelerating the project execution.
TEXT BOOKS:
1. Product Design and Development / Kari T. Ulrich and Steven D. Eppinger / McGraw Hill
International Edns. 1999.
2. Concurrent Engg/integrated Product development / Kemnneth Crow / DRM Associates,
26/3, Via Olivera, Palos Verdes, CA 90274(310)377-569, Workshop Book.
REFERENCES:
1 Effective Product Design and Development / Stephen Rosenthal / Business One Orwin,
Homewood, 1992, ISBN, 1-55623-603-4.
2 Tool Design?Integrated Methods for Successful Product Engineering / Staurt Pugh /
Addsion Wesley Publishing, Neyourk, NY, 1991, ISBN 0-202-41369-5.
3 Production and Operations Management/Chase/TMH
GEOMETRIC MODELING
(ELECTIVE - I)
Unit - I
Cubic spline ?I Definition, Explicit and implicit equations, parametric equations, Algebraic and
geometric form of cubic spline, Hermite cubic spline, tangent vectors, parametric space of a
curve, blending functions.
Unit - II
Cubic Splines-II:
four point form, reparametrization, truncating and subdividing of curves. Graphic construction
and interpretation, composite pc curves.
Bezier Curves: Bernstein basis, equations of Bezier curves, properties, derivatives.
Unit - III
B-Spline Curves: B-Spline basis, equations, knot vectors, properties, and derivatives.
Unit ? IV
Surfaces: Bicubic surfaces, Coon's surfaces, Bezier surfaces, B-Spline surfaces, surfaces of
revolutions, Sweep surfaces, ruled surfaces, tabulated cylinder, bilinear surfaces, Gaussian
curvature.
Unit ? V
Solids: Tricubic solid, Algebraic and geometric form.
Solid modeling concepts: Wire frames, Boundary representation, Half space modeling, spatial
cell, cell decomposition, classification problem.
TEXT BOOKS:
1. Elements of Computer Graphics by Roger & Adams Tata McGraw Hill.
2. Geometric Modeling by Micheal E. Mortenson, McGraw Hill Publishers
REFERENCES:
1. Computer Aided Design and Manufacturing, K.Lalit Narayan, K.Mallikarjuna Rao,
MMM Sarcar, PHI Publishers
NON - DESTRUCTIVE EVALUATION
(ELECTIVE - I)
UNIT ? I
General Methods: Flaw Detection Using Dye Penetrants. Magnetic Particle Inspection
introduction to electrical impedance, Principles of Eddy Current testing, Flaw detection using
eddy currents.
UNIT ? II
X-Ray Radiography: The Radiographic process, X-Ray and Gamma-ray sources, Geometric
Principles, Factors Governing Exposure, Radio graphic screens, Scattered radiation, Arithmetic
of exposure, Radiographic image quality and detail visibility, Industrial X-Ray films,
Fundamentals of processing techniques, Process control, The processing Room, Special
Processing techniques, Paper Radiography, Sensitometric characteristics of x-ray films, Film
graininess signal to noise ratio in radiographs, The photographic latent image, Radiation
Protection,
UNIT ? III
Generation of ultrasonic waves, Horizontal and shear waves, Near field and far field acoustic
wave description, Ultrasonic probes- straight beam, direct contact type, Angle beam,
Transmission/reflection type, and delay line transducers, acoustic coupling and media,
Transmission and pulse echo methods, A-scan, B-scan, C-scan, F-scan and P-scan modes, Flaw
sizing in ultrasonic inspection: AVG, Amplitude, Transmission, TOFD, Satellite pulse, Multi-
modal transducer, Zonal method using focused beam. Flow location methods, Signal processing
in Ultrasonic NDT; Mimics, spurious echos and noise. Ultrasonic flaw evaluation.
UNIT ? IV
Holography: Principles and practices of Optical holography, acoustical, microwave, x-ray and
electron beam holography techniques.
UNIT ? V
Applications: NDT in flaw analysis of Pressure vessels, piping, NDT in Castings, Welded
constructions, etc., Case studies.
TEXT BOOKS:
1. Ultrasonic testing by Krautkramer and Krautkramer
2. Ultrasonic inspection 2 Training for NDT : E. A. Gingel, Prometheus Press,
3. ASTM Standards, Vol 3.01, Metals and alloys
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I Year I Semester
4
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3
FRACTURE MECHANICS
(ELECTIVE - II)
UNIT-I
Introduction: Prediction of mechanical failure. Macroscopic failure modes; brittle and ductile
behaviour. Fracture in brittle and ductile materials ? characteristics of fracture surfaces; inter-
granular and intra-granular failure, cleavage and micro-ductility, growth of fatigue cracks, The
ductile/brittle fracture transition temperature for notched and unnotched components. Fracture at
elevated temperature.
UNIT-II
Griffiths analysis: Concept of energy release rate, G, and fracture energy, R. Modification for
ductile materials, loading conditions. Concept of R curves.
Linear Elastic Fracture Mechanics, (LEFM). Three loading modes and the state of stress
ahead of the crack tip, stress concentration factor, stress intensity factor and the material
parameter the critical stress intensity factor, crack tip plasticity, effect of thickness on fracture
toughness.
UNIT-III
Elastic-Plastic Fracture Mechanics; (EPFM). The definition of alternative
failure prediction parameters, Crack Tip Opening Displacement, and the J integral. Measurement
of parameters and examples of use.
UNIT-IV
Fatigue: definition of terms used to describe fatigue cycles, High Cycle Fatigue, Low Cycle
Fatigue, mean stress R ratio, strain and load control. S-N curves. Goodmans rule and Miners
rule. Micromechanisms of fatigue damage, fatigue limits and initiation and propagation control,
leading to a consideration of factors enhancing fatigue resistance. Total life and damage tolerant
approaches to life prediction.
UNIT-V
Creep deformation: the evolution of creep damage, primary, secondary and tertiary creep.
Micro-mechanisms of creep in materials and the role of diffusion. Ashby creep deformation
maps. Stress dependence of creep ? power law dependence. Comparison of creep performance
under different conditions ? extrapolation and the use of Larson-Miller parameters. Creep-fatigue
interactions. Examples.
TEXT BOOKS
1. T.L. Anderson, Fracture Mechanics Fundamentals and Applications, 2nd Ed. CRC press,
(1995)
2. B. Lawn, Fracture of Brittle Solids, Cambridge Solid State Science Series 2nd ed1993.
3. J.F. Knott, Fundamentals of Fracture Mechanics, Butterworths (1973)
4. J.F. Knott, P Withey, Worked examples in Fracture Mechanics, Institute of Materials.
5. H.L.Ewald and R.J.H. Wanhill Fracture Mechanics, Edward Arnold, (1984).
6. S. Suresh, Fatigue of Materials, Cambridge University Press, (1998)
7. L.B. Freund and S. Suresh, Thin Film Materials Cambridge University Press,(2003).
8. G. E. Dieter, Mechanical Metallurgy, McGraw Hill, (1988)
9. D.C. Stouffer and L.T. Dame, Inelastic Deformation of Metals, Wiley (1996)
10. F.R.N. Nabarro, H.L. deVilliers, The Physics of Creep, Taylor and Francis, (1995)
G E A R E N G I N E E R I N G
(PSG Design data Book is allowed)
(ELECTIVE - II)
UNIT ? I
Introduction: Principles of gear tooth action, Generation of Cycloid and Involute gears,
Involutometry, gear manufacturing processes and inspection, gear tooth failure modes, stresses,
selection of right kind of gears.
UNIT ? II
Spur Gears, Helical gears, Bevel gears and worm gears, Tooth loads, Principles of Geometry,
Design considerations and methodology, Complete design of spur gear teeth considering Lewis
beam strength, Buckingham's dynamic load and wear load, Design of gear shaft and bearings.
UNIT ?III
Gear trains: Simple, compound and epicyclic gear trains, Ray diagrams, Design of a gear box of
an automobile, Design of gear trains from the propeller shafts of airplanes for auxiliary systems.
UNIT ? IV
Gear failures
Analysis of gear tooth failures, Nomenclature of gear tooth wear and failure, tooth breakage,
pitting, scoring, wear, overloading, gear-casing problems, lubrication failures
U N I T ? V
Optimal Gear design: Optimization of gear design parameters, Weight minimization,
Constraints in gear train design-space, interference, strength, dynamic considerations, rigidity
etc. Compact design of gear trains, multi objective optimization of gear trains. Application of
Traditional and non-traditional optimization techniques
TEXT BOOKS:
1. Maleev and Hartman, Machine Design, C.B.S. Publishers, India.
2. Henry E.Merrit,Gear engineering ,Wheeler publishing,Allahabad,1992.
3. Practical Gear design by Darle W. Dudley, McGraw-Hill book company
REFERENCES:
1. Earle Buckingham, Analytical mechanics of gears, Dover publications, New York, 1949.
2. G.M.Maitha, Hand book of gear design, Tata Mc.Graw Hill publishing company Ltd.,
New Delhi,1994.
DESIGN FOR MANUFACTURING AND ASSEMBLY
(ELECTIVE - II)
UNIT - I
Introduction to DFM, DFMA: How Does DFMA Work? Reasons for Not Implementing DFMA,
What Are the Advantages of Applying DFMA During Product Design?, Typical DFMA Case
Studies, Overall Impact of DFMA on Industry.
Design for Manual Assembly: General Design Guidelines for Manual Assembly, Development
of the Systematic DFA Methodology, Assembly Efficiency, Effect of Part Symmetry, Thickness,
Weight on Handling Time, Effects of Combinations of Factors, Application of the DFA
Methodology.
UNIT - II
Machining processes: Overview of various machining processes-general design rules for
machining-dimensional tolerance and surface roughness-Design for machining ? ease ?
redesigning of components for machining ease with suitable examples. General design
recommendations for machined parts.
UNIT - III
Metal casting: Appraisal of various casting processes, selection of casting process,-general
design considerations for casting-casting tolerance-use of solidification, simulation in casting
design-product design rules for sand casting.
Extrusion & Sheet metal work: Design guide lines extruded sections-design principles for
punching, blanking, bending, deep drawing-Keeler Goodman forging line diagram ? component
design for blanking.
UNIT - IV
Metal joining: Appraisal of various welding processes, factors in design of weldments ? general
design guidelines-pre and post treatment of welds-effects of thermal stresses in weld joints-
design of brazed joints. Forging: Design factors for forging ? closed die forging design ? parting
lines of dies ? drop forging die design ? general design recommendations.
UNIT ? V
Design for Assembly Automation: Fundamentals of automated assembly systems, System
configurations, parts delivery system at workstations, various escapement and placement devices
used in automated assembly systems, Quantitative analysis of Assembly systems, Multi station
assembly systems, single station assembly lines.
TEXT BOOKS:
1. Design for manufacture, John cobert, Adisson Wesley. 1995
2. Design for Manufacture by Boothroyd,
3. Design for manufacture, James Bralla
REFERENCE:
ASM Hand book Vol.20
CONTINUUM MECHANICS
(ELECTIVE - II)
UNIT ? I
Tensor calculus: Tensor calculus, Multi linear forms, Definition of Tensor over including
vector spaces, Alternating tensors, determinants, orientation, tensor products, kinematics of
deformations and motion, strain analysis, rotation of tensors, calculations of tensors, internal
calculations of tensors and integral identities.
UNIT ? II
Eulerian and Lagrangian description of a continuous, discrete systems, continua, physical
quantities and their derivatives. Rigid body motion, Relation between continuum models and real
materials.
UNIT ? III
Conservation laws in a continuum: Mass conservation in Lagrangen and Eulerian frames,
Conservation of momentum in Lagrangen and Eulerian frames.
UNIT ? IV
Conservation in angular momentum in lagrengian form. Conservation of energy in in Lagrangen
and Eulerian frames.Strain and decomposition. Finite deformation, infinitesimal displacements
UNIT - V
Material frame indifference, Elastic Materials, Viscous fluids, linear visco-elasticity, case studies
for metals and polymers.
TEXT BOOK
1. Continuous mechanics, George Backus, Samizdat Press, 1997
REFERENCES:
1.Mechanics of Continua, A.C. Eringan, 1962
2.Continuous Physics, Vol. 1, A.C. Eringan, 1967, Academic press
3.Introduction to Continuous Mechanics, B.L.N. Kennett
4.Quick introduction to Tensor analysis, R.Sharipov, 2004, Samizdat Press.
5.Non-linear continuum mech-win, SEACAS theory manuals part II,T.A.Laursen,S.W.Attaway
and
R.I.Zadoks
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I Year I Semester
MACHINE DYNAMICS
LABORATORY
0
3
2
EXPERIMENTS:
1. Determination of damped natural frequency of vibration of the vibrating system with
different viscous oils
2. Determination of steady state amplitude of a forced vibratory system
3. Static balancing using steel balls & Determination of the magnitude and orientation of the
balancing mass in dynamic balancing
4. Field balancing of the thin rotors using vibration pickups.
5. Determination of the magnitude of gyroscopic couple, angular velocity of precession, and
representation of vectors.
6. Determination of natural frequency of given structure using FFT analyzer
7. Diagnosis of a machine using FFT analyzer.
8. .Direct kinematic analysis of a robot
9. Inverse kinematic analysis of a robot
10 An experiment on friction, wear, pin-on-disc
11. An experiment on stress intensity factors / fatigue, fracture
12. Modal analysis of beams and plates
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I Year II Semester
OPTIMIZATION AND RELIABILITY
4
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3
UNIT - I
CLASSICAL OPTIMIZATION TECHNIQUES: Single variable optimization with and
without constraints, multi ? variable optimization without constraints, multi ? variable
optimization with constraints ? method of Lagrange multipliers, Kuhn-Tucker conditions, merits
and demerits of classical optimization techniques.
UNIT - II
NUMERICAL METHODS FOR OPTIMIZATION: Nelder Mead's Simplex search method,
Gradient of a function, Steepest descent method, Newton's method, Pattern search methods,
conjugate method, types of penalty methods for handling constraints, advantages of numerical
methods.
UNIT - III
GENETIC ALGORITHM (GA) : Differences and similarities between conventional and
evolutionary algorithms, working principle, reproduction, crossover, mutation, termination
criteria, different reproduction and crossover operators, GA for constrained optimization, draw
backs of GA,
GENETIC PROGRAMMING (GP): Principles of genetic programming, terminal sets,
functional sets, differences between GA & GP, random population generation, solving
differential equations using GP.
MULTI-OBJECTIVE GA: Pareto's analysis, Non-dominated front, multi ? objective GA,
Non-dominated sorted GA, convergence criterion, applications of multi-objective problems .
UNIT ? IV
APPLICATIONS OF OPTIMIZATION IN DESIGN AND MANUFACTURING
SYSTEMS: Some typical applications like optimization of path synthesis of a four-bar
mechanism, minimization of weight of a cantilever beam, optimization of springs and gears,
general optimization model of a machining process, optimization of arc welding parameters, and
general procedure in optimizing machining operations sequence.
UNIT V
RELIABILITY: Concepts of Engineering Statistics, risk and reliability, probabilistic approach
to design, reliability theory, design for reliability, numerical problems, hazard analysis.
TEXT BOOKS:
1. Optimization for Engineering Design ? Kalyanmoy Deb, PHI Publishers
2. Engineering Optimization ? S.S.Rao, New Age Publishers
3. Reliability Engineering by L.S.Srinath
4. Multi objective genetic algorithm by Kalyanmoy Deb, PHI Publishers.
REFERENCES:
1. Genetic algorithms in Search, Optimization, and Machine learning ? D.E.Goldberg,
Addison-Wesley Publishers
2. Multi objective Genetic algorithms - Kalyanmoy Deb, PHI Publishers
3. Optimal design ? Jasbir Arora, Mc Graw Hill (International) Publishers
4. An Introduction to Reliability and Maintainability Engineering by CE Ebeling, Waveland
Printers Inc., 2009
5. Reliability Theory and Practice by I Bazovsky, Dover Publications, 2013
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I Year II Semester
EXPERIMENTAL STRESS ANALYSIS
4
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UNIT ? I
Introduction: Stress, strain, Plane stress and plane strain conditions, Compatibility conditions.
Problems using plane stress and plane strain conditions, stress functions, mohrs circle for stress
strain, Three-dimensional stress strain relations.
UNIT ? II
Strain Measurement and Recordings: Various types of strain gauges, Electrical Resistance
strain gauges, semiconductor strain gauges, strain gauge circuits. Introduction, static recording
and data logging, dynamic recording at very low frequencies, dynamic recording at intermediate
frequencies, dynamic recording at high frequencies, dynamic recording at very high frequencies,
telemetry systems.
UNIT ? III
Photo elasticity: Photo elasticity ? Polariscope ? Plane and circularly polarized light, Bright and
dark field setups, Photo elastic materials ? Isochromatic fringes ? Isoclinics
Three dimensional Photo elasticity : Introduction, locking in model deformation, materials for
three-dimensional photo elasticity, machining cementing and slicing three-dimensional models,
slicing the model and interpretation of the resulting fringe patterns, effective stresses, the shear-
difference method in three dimensions, applications of the Frozen-stress method, the scattered-
light method.
UNIT ? IV
Brittle coatings: Introduction, coating stresses, failure theories, brittle coating crack patterns,
crack detection, ceramic based brittle coatings, resin based brittle coatings, test procedures for
brittle coatings analysis, calibration procedures, analysis of brittle coating data.
Moire Methods: Introduction, mechanism of formation of Moire fringes, the geometrical
approach to Moire-Fringe analysis, the displacement field approach to Moire-Fringe analysis, out
of plane displacement measurements, out of plane slope measurements, sharpening and
multiplication of Moire-Fringes, experimental procedure and techniques.
UNIT ? V
Birefringent Coatings
Introduction, Coating stresses and strains, coating sensitivity, coating materials, application of
coatings, effects of coating thickness, Fringe-order determinations in coatings, stress separation
methods.
TEXT BOOKS :
1. Theory of Elasticity by Timoshenke and Goodier Jr
2. Experimental stress analysis by Dally and Riley,Mc Graw-Hill
REFERENCES:
1. A treatise on Mathematical theory of Elasticity by LOVE .A.H
2. Photo Elasticity by Frocht
3. Experimental stress analysis, Video course by K.Ramesh / NPTEL
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FI N I T E E L E M E N T M E T H O D
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UNIT - I
Formulation Techniques: M e t h o d o l o g y, E n gi n e e r i n g p r o b l e m s a n d go ve r n i n g
d i f f e re n t i a l e q ua t i on s , f i n i t e e l e m e nt s . , Variational methods-potential energy method,
Raleigh Ritz method, strong and weak forms, Galerkin and weighted residual methods, calculus
of variations, Essential and natural boundary conditions.
UNIT ? II
One-dimensional elements: Bar, trusses, beams and frames, displacements, stresses and
temperature effects.
UNIT ? III
Two dimensional problems: CST, LST, four noded and eight nodded rectangular elements,
Lagrange basis for triangles and rectangles, serendipity interpolation functions. Axisymmetric
Problems: Axisymmetric formulations, Element matrices, boundary conditions. Heat Transfer
problems: Conduction and convection, examples: - two-dimensional fin.
UNIT ? IV
Isoparametric formulation: Concepts, sub parametric, super parametric elements, numerical
integration, Requirements for convergence, h-refinement and p-refinement, complete and
incomplete interpolation functions, pascal's triangle, Patch test.
UNIT ? V
Finite elements in Structural Analysis: Static and dynamic analysis, eigen value problems, and
their solution methods, case studies using commercial finite element packages.
T E X T B O O K :
1.
Finite element methods by Chandrubatla & Belagondu.
REFERENCES:
1. J.N. Reddy, Finite element method in Heat transfer and fluid dynamics, CRC press,
1994
2. Zienckiwicz O.C. & R. L. Taylor, Finite Element Method, McGraw-Hill,1983.
3. K. J. Bathe, Finite element procedures, Prentice-Hall, 1996
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D E S I G N W I T H A D V A N C E D
MATERIALS
4
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Unit ? I
Fundamentals of material science: Elasticity in metals, mechanism of plastic deformation, slip
twinning, role of dislocations, yield stress, shear strength of perfect and real crystals,
strengthening mechanism, work hardening, solid solution, grain boundary strengthening, Poly
phase mixture, precipitation, particle, fiber and dispersion strengthening, effect of temperature,
strain and strain rate on plastic behavior, super plasticity. Yield criteria: Von mises and Tresca
criteria.
Unit ? II
Motivation of selection, cost basis and service requirements, selection for mechanical properties,
strength, toughness, fatigue, impact and creep, use of material property charts for material
selection.
Unit ? III
Modern metallic Materials: Dual phase steels, micro alloyed steels, high strength low alloy
(HSLA) Steel, maraging steel, intermetalics, Ni and Ti aluminides, super alloys.
Unit ? IV
Non metallic materials: Polymeric materials and their molecular structures, production
techniques for fibers, foams, adhesives and coatings, structure, properties and applications of
engineering polymers. composites; Introduction, reinforcement, types of composite materials, -
properties, processing and application of composite materials.
Unit ? V
Properties, structure and applications of Smart materials, shape memory alloys, metallic glass,
quasi crystal and nano crystalline materials, ceramic materials, ceremets, high temperature
materials, refractory materials.
TEXT BOOKS:
1. Mechanical behavior of materials/Thomas H.Courtney/2nd Edition, McGraw-Hill, 2000
2. Mechanical Metallurgy/George E.Dieter/McGraw Hill, 1998
3. Material selction in mechanical design by M.F Ashby. Bott
REFERENCES:
1. Selection and use of Engineering Materials 3e/Charles J.A/Butterworth Heiremann.
Material
science
and
metallurgy
by
V.D.
Kodgire,
Everest
publishing
house
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TRIBOLOGY
(ELECTIVE - III)
UNIT ? I
Introduction: Nature of surfaces and contact-Surface topography-friction and wear mechanisms,
wear maps, effect of lubricants- methods of fluid film formation.
Lubrication: Choice of lubricants, types of oil, Grease and solid lubricants- additives-
lubrication systems and their selection.
UNIT ? II
Selection of rolling element bearings: Nominal life, static and dynamic capacity-Equivalent
load, probabilities of survival- cubic mean load- bearing mounting details, pre loading of
bearings, conditioning monitoring using shock pulse method.
UNIT ? III
Hydrostatic Bearings: Thrust bearings ? pad coefficients- restriction- optimum film thickness-
journal bearings ? design procedure ?Aerostatic bearings; Thrust bearings and Journal bearings ?
design procedure.
UNIT ? IV
Hydrodynamic bearings: Fundamentals of fluid formation ? Reynold's equation;
Hydrodynamic journal bearings ? Sommerfield number- performance parameters ? optimum
bearing with maximum load capacity ? Friction ? Heat generated and Heat dissipated.
Hydrodynamic thrust bearings; Raimondi and Boyd solution for hydrodynamic thrust bearings-
fixed tilting pads, single and multiple pad bearings-optimum condition with largest minimum
film thickness.
UNIT ? V
Seals: different type-mechanical seals, lip seals, packed glands, soft piston seals, Mechanical
piston rod packing, labyrinth seals and throttling bushes, oil flinger rings and drain grooves ?
selection of mechanical seals.
Failure of Tribological components: Failure analysis of plain bearings, rolling bearings, gears
and seals, wear analysis using soap and Ferrography.
Dry rubbing Bearings: porous metal bearings and oscillatory journal bearings ? qualitative
approach only.
TEXT BOOKS:
1.Rowe WW& O' Dionoghue,"Hydrostatic and Hybrid bearing design " Butterworths &
Co.Publishers Ltd,1983.
2.Collacott R.A," Mechanical Fault diagnosis and condition monitoring", Chapman and Hall,
London 1977.
3. Bernard J.Hamrock, " Fundamentals of fluid film lubricant", Mc Graw-Hill Co.,1994.
REFERENCES:
1.Neale MJ, (Editor) " Tribology hand Book"Neumann Butterworths, 1975.
2.Connor and Boyd JJO (Editors) " Standard hand book of lubrication engineers " ASLE,Mc
Graw Hill Book & Co.,1968
3. Shigley J, E Charles," Mechanical Engineering Design", McGraw Hill Co., 1989
SIGNAL ANALYSIS AND CONDITION MONITORING
(ELECTIVE- III)
UNIT-I
Introduction, Basic concepts. Fourier analysis. Bandwidth. Signal types. Convolution.
Signal analysis: Filter response time. Detectors. Recorders. Analog analyzer types.
UNIT-II
PRACTICAL ANALYSIS OF STATIONARY SIGNALS: Stepped filter analysis. Swept
filter analysis. High speed analysis. Real-time analysis.
UNIT-III
PRACTICAL ANALYSIS OF CONTINUOUS NON-STATIONARY SIGNALS: Choice of
window type. Choice of window length. Choice of incremental step. Practical details. Scaling of
the results.
UNIT-IV
PRACTICAL ANALYSIS OF TRANSIENTS: Analysis as a periodic signal. Analysis by
repeated playback (constant bandwidth). Analysis by repeated playback (variable bandwidth).
UNIT-V
CONDITION MONITORING IN REAL SYSTEMS: Diagnostic tools. Condition monitoring
of two stage compressor. Cement mill foundation. I.D. fan. Sugar centrifugal. Cooling tower fan.
Air separator. Preheater fan. Field balancing of rotors. ISO standards on vibrations, active,
passive hybrid methods of condition monitoring
TEST BOOK:
1.
Condition Monitoring of Mechanical Systems / Kolacat.
REFERENCES:
1. Frequency Analysis /R.B.Randall.
2.
Mechanical Vibrations Practice with Basic Theory / V. Ramamurti/ Narosa Publishing
House.
3.
Theory of Machines and Mechanisms/ Amitabh Ghosh & AK Malik/ EWP
COMPUTATIONAL FLUID DYNAMICS
(ELECTIVE - III)
UNIT ? I
Introduction: Finite difference method, finite volume method, finite element method, governing
equations and boundary conditions. Derivation of finite difference equations.
Solution methods: Solution methods of elliptical equations ? finite difference formulations,
interactive solution methods, direct method with Gaussian elimination.
Parabolic equations-explicit schemes and Von Neumann stability analysis, implicit schemes,
alternating direction implicit schemes, approximate factorization, fractional step methods, direct
method with tridiagonal matrix algorithm.
UNIT ? II
Hyperbolic equations: explicit schemes and Von Neumann stability analysis, implicit schemes,
multi step methods, nonlinear problems, second order one-dimensional wave equations.
Burgers equations: Explicit and implicit schemes, Runge-Kutta method.
UNIT ? III
Formulations of incompressible viscous flows: Formulations of incompressible viscous flows
by finite difference methods, pressure correction methods, vortex methods.
Treatment of compressible flows: potential equation, Eluer equations, Navier-stokes system of
equations, flow field-dependent variation methods, boundary conditions, example problems.
UNIT ? IV
Finite volume method: Finite volume method via finite difference method, formulations for two
and three-dimensional problems.
UNIT ? V
Standard variational methods: Linear fluid flow problems, steady state problems, Transient
problems.
TEXT BOOK:
1. Computational fluid dynamics, T. J.Chung, Cambridge
University press,2002.
REFERENCE:
1. Text book of fluid dynamics, Frank Chorlton, CBS Publishers &distributors, 1985.
DESIGN SYNTHESIS
(ELECTIVE - III)
UNIT ? I
Design process and methodologies of systematic design conceptual design variants and
evaluation; Standardization and its exploitation in design.
UNIT ? II
Tolerance from process and function; interchangeability and selective assembly; selection of fits
for different design situations, surface finish. Load transmission, load equalization light weigh
and rigid constructions.
UNIT ? III
Design of cast forged sheet metal parts and welded constructions Machining considerations.
UNIT ? IV
Design for assembly and dismantling; Modular constructions erection, operation inspection and
maintenance considerations; Ergonomics Design of accuracy; Location pins and registers,
Machining in assembly, adjustment, Backlash and Clearance adjustment.
UNIT ? V
Problems formulation for design optimization Example illustration the various principles
available design variants for some of the common basic functional requirements.
TEXT BOOK:
1.
Engineering Design a material and processing approach/ George Dieter/ McGraw Hi8 ll
international book company 1983
REFERENCES:
1. Engineering Design a systematic approach/ G. Phal W. Beitz/ Springer /3rd Edition
2. Mechanical Design Theory Methodology/ Manjula B. Waldron and Kenneth J. Waldron/
Springer Verlag New York 1996.
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PRESSURE VESSEL DESIGN
(ELECTIVE - IV)
UNIT ? I
Introduction: Materials-shapes of Vessels-stresses in cylindrical, spherical and arbitrary, shaped
shells. Cylindrical Vessels subjected to internal pressure, wind load, bending and torque for
computation of pressure vessels-conical and tetrahedral vessels.
UNIT ? II
Theory of thick cylinders: Shrink fit stresses in built up cylinders-auto frettage of thick
cylinders. Thermal stresses in Pressure Vessels.
UNIT ? III
Theory of rectangular plates: Pure bending-different edge conditions.
Theory circular plates: Simple supported and clamped ends subjected to concentrated and
uniformly distributed loads-stresses from local loads. Design of dome bends, shell connections,
flat heads and cone openings.
UNIT ? IV
Discontinuity stresses in pressure vessels: Introduction, beam on an elastic foundation,
infinitely long beam, semi infinite beam, cylindrical vessel under axially symmetrical loading,
extent and significance of load deformations on pressure vessels, discontinuity stresses in
vessels, stresses in a bimetallic joints, deformation and stresses in flanges.
UNIT ? V
Pressure vessel materials and their environment: Introduction, ductile material tensile tests,
structure and strength of steel, Leuder's lines, determination of stress patterns from plastic flow
observations, behaviour of steel beyond the yield point, effect of cold work or strain hardening
on the physical properties of pressure vessel steels, fracture types in tension, toughness of
materials, effect of neutron irradiation of steels, fatigue of metals, fatigue crack growth, fatigue
life prediction, cumulative fatigue damage, stress theory of failure of vessels subject to steady
state and fatigue conditions.
TEXT BOOKS:
1. Theory and design of modern Pressure Vessels by John F.Harvey, Van nostrand reihold
company, New York.
2. Pressure Vessel Design and Analysis by Bickell, M.B.Ruizcs.
REFERENCES:
1. Process Equipment design- Beowll & Yound Ett.
2. Indian standard code for unfired Pressure vessels IS:2825.
3. Pressure Vessel Design Hand Book, Henry H.Bednar, P.E., C.B.S.Publishers, New Delhi.
4. Theory of plates and shells- Timoshenko & Noinosky.
M E C H A N I C S O F C O M PO S I T E M A T E R I A L S
( E L E C T I V E - I V )
UNIT-I
Introduction to Composites: Introduction, Classification, matrix materials, reinforced matrix of
composites
UNIT-II
Hooke's Law for a Two-Dimensional Angle Lamina, Engineering Constants of an Angle
Lamina, Invariant Form of Stiffness and Compliance Matrices for an Angle Lamina Strength
Failure Theories of an Angle Lamina : Maximum Stress Failure Theory Strength Ratio, Failure
Envelopes,Maximum Strain Failure Theory ,Tsai?Hill Failure Theory, Tsai?Wu Failure Theory,
Comparison of Experimental Results with Failure Theories. Hygrothermal Stresses and Strains in
a Lamina: Hygrothermal Stress?Strain Relationships for a Unidirectional Lamina, Hygrothermal
Stress?Strain Relationships for an Angle Lamina
UNIT-III
Macromechanical Analysis of a Lamina :Introduction ,Definitions: Stress, Strain ,Elastic Moduli,
Strain Energy. Hooke's Law for Different Types of Materials, Hooke's Law for a Two-
Dimensional Unidirectional Lamina, Plane Stress Assumption, Reduction of Hooke's Law in
Three Dimensions to Two Dimensions, Relationship of Compliance and Stiffness Matrix to
Engineering Elastic Constants of a Lamina,
UNIT-IV
Micromechanical Analysis of a Lamina :Introduction, Volume and Mass Fractions, Density, and
Void Content, Evaluation of the Four Elastic Moduli, Strength of Materials Approach, Semi-
Empirical Models ,Elasticity Approach, Elastic Moduli of Lamina with Transversely Isotropic
Fibers, Ultimate Strengths of a Unidirectional Lamina, Coefficients of Thermal Expansion,
Coefficients of Moisture Expansion
Macromechanical Analysis of Laminates: Introduction, Laminate Code , Stress?Strain Relations
for a Laminate, In-Plane and Flexural Modulus of a Laminate, Hygrothermal Effects in a
Laminate, Warpage of Laminates, hybrid laminates
UNIT-V
Design of Laminates : Introduction , thin plate theory, specially orthotropic plate, cross and
angle ply laminated plates, problems using thin plate theory, Failure Criterion for a Laminate,
Design of a Laminated Composites.
TEXT BOOKS:
1.Engineering Mechanics of Composite Materials by Isaac and M Daniel, Oxford University
Press, 1994.
2.B. D. Agarwal and L. J. Broutman, Analysis and performance of fibre Composites, Wiley-
Interscience, New York, 1980.
3. Mechanics of Composite Materials, Second Edition (Mechanical Engineering), By Autar K.
Kaw ,Publisher: CRC
REFERENCES:
1. R. M. Jones, Mechanics of Composite Materials, Mc Graw Hill Company, New York, 1975.
2. L. R. Calcote, Analysis of Laminated Composite Structures, Van Nostrand Rainfold, New
York, 1969.
MECHATRONICS
(ELECTIVE - IV)
UNIT ? I
Introduction: Definition of Mechatronics products, design considerations and trade offs.
Overview of Mechtronic products. Intelligent machine Vs Automatic machine economic and
social justification.
Actuators and drive systems: Mechanical, Electrical, hydraulic drive systems, Characteristics
of mechanical, Electrical, Hydraulic and pneumatic actuators and their limitations.
UNIT ? II
Motion Control: Control parameters and system objectives, Mechanical Configurations,
Popular control system configurations. S-curve, motor/load inertia matching, design with linear
slides.
Motion Control algorithms: Significance of feed forward control loops, shortfalls,
fundamentals concepts of adaptive and fuzzy ? control. Fuzzy logic compensatory control of
transformation and deformation non- linearity's.
UNIT ? III
Sensor interfacing: Analog and digital sensors for motion measurement, digital transducers,
human-Machine and machine- Machine inter facing devices and strategy.
Architecture of intelligent machines: Introduction to Microprocessor and programmable logic
controls and identification of systems. System design classification, motion control aspects in
design.
UNIT ? IV
Machine vision: Feature and pattern recognition methods, concepts of perception and cognition
in decision-making, basics of image processing, binary and grey scale images, sharpening and
smoothening of images.
UNIT ? V
Micromechatronic Sytems: Micro sensors, micro actuators, smart instrumentation, micro-
fabrication methods ? lithography, etching, micro-joing.
TEXT BOOKS:
1."Designing intelligent machines", open university, London.Michel B.Histand and david
G. Alciatore.
2.Introduction to Mechatronics and Measurement systems, Tata Mc Graw Hill.
3.C.W.desilva, " Control sensors and actuators, Prentice Hall.
T H E O R Y O F PL A S T I C I T Y
(ELECTIVE - IV)
UNIT ? I
Introduction: Modeling Uniaxial behavior in plasticity. Index notation, Cartesian tensors.
Yield and failure criteria Stress, stress deviator tensors. Invariants, principal, mean stresses.
Elastic strain energy. Mohr's representation of stress in 2 & 3 dimensions. Haigh-Westergaard
stress space. Equilibrium equations of a body. Yield criteria: Tresca's, von Mises rules,
Drucker-Prager criterion, anisotropic yield criteria.
Strain at point: Cauchy's formulae for strains, principal strains, principal shear strains,
derivative strain tensor. Strain-displacement relationships. Linear elastic stress strain relations,
Generalized Hooke's law, nonlinear elastic stress strain relations
UNIT ? II
Principle of virtual work and its rate forms: Drucker's stability postulate, normality,
convexity and uniqueness for an elastic solid. Incremental stress strain relations.
Criteria for loading and unloading: Elastic and plastic strain increment tensors, Plastic
potential and flow rule associated with different Yield criteria, Convexity, normality and
uniqueness considerations for elastic?plastic materials. Expansion of a thick walled cylinder.
UNIT ? III
Incremental stress strain relationships: Prandtl-Reuss material model. J2 deformation theory,
Drucker-Prager material, General Isotropic materials.
Deformation theory of plasticity: Loading surface, Hardening rules. Flow rule and Druckers
stability postulate. Concept of effective stress and effective strain, mixed hardening material.
Problems.
UNIT ? IV
Finite element formulation for an elastic plastic matrix: Numerical algorithms for solving
non linear equations, Convergence criteria, Numerical implementations of the elastic plastic
incremental constitutive relations
UNIT ? V
Bounding surface theory: Uniaxial and multiaxial loading anisotropic material behaviour
Theroms of limit analysis : Statically admissible stress field and kinematically admissible
velocity field. Upper and lower bound theorms, examples and problems.
TEXT BOOK:
1. Plasticity for structural engineering W.F.Chen s and D.J.Han, Springer verlag-1987.
REFERENCES:
1. Mechanics of Materials ?II, Victor E. Saouma.
2. Theory of plasticity, Sadhu Singh
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DESIGN PRACTICE LABORATORY
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I. Modeling
1.Surface modeling
2.Solid modeling
3.Drafting
4.Assembling
II. Structural Analysis using any FEA Package for different structures that can be
discretised with 1-D,2-D & 3-D elements
1. Static Analysis
2. Modal Analysis
3. Harmonic Analysis
4. Spectrum Analysis
5. Buckling Analysis
6. Analysis of Composites
7. Fracture mechanics
III. Thermal Analysis using any FEA Package for different structures that can be
discretised with 1-D,2-D & 3-D elements
1. Steady state thermal analysis
2. Transient thermal analysis
IV. Transient analysis using any FEA Package for different structures that can be
discretised with 1-D,2-D & 3-D elements
V. Prudent Design ? a case study
REFERENCES :
User manuals of ANSYS package Version 9.0
I-DEAS Package Version 9.0
This post was last modified on 16 March 2021