Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Winter 7th Sem 2172008 Finite Element Analysis Of Mechatronic Systems Previous Question Paper
Seat No.: ________
Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER?VII (NEW) EXAMINATION ? WINTER 2020
Subject Code:2172008 Date:28/01/2021
Subject Name:Finite Element Analysis of Mechatronic Systems
Time:10:30 AM TO 12:30 PM Total Marks: 56
Instructions:
1. Attempt any FOUR questions out of EIGHT questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Explain the types of boundary conditions identified in Finite element
03
analysis.
(b) Define Isoparametric element.
04
(c) Explain the procedural steps to be followed for solving a problem using
07
Finite Element Method.
Q.2 (a) Give three applications of Finite Element Method.
03
(b) Explain Descretization in FEM.
04
(c) A stepped bimetallic bar made of Aluminium (E=70 x 103 N/mm2)
07
and steel (E=200x 103 N/mm2 ) is subjected to an axial load of 200
KN as shown in fig. using penlty approach, determine the nodal
displacement.
Q.3 (a) Define the Shape function in FEM.
03
(b) Differentiate between plane stress and plane strain.
04
(c) Derive the elemental and global stiffness matrix of a spring and bar
07
element using direct stiffness approach.
Q.4 (a) Give name of different types of 2D element with their applications.
03
(b) For a point P located inside triangle, as shown in fig. find the shape
04
function.
1
(c) A triangle plate of size 100
07
X 75 X 12.5mm is subjected
to the loads of 5000 N &
4000N, as shown in fig. the
modules of elasticity and
poisson's ratio for the plate
material are 2 x 105 N/mm2
and
0.25
respectively.
Model the plate with CST
element and Determine the
element stiffness matrix.
Q.5 (a) Explain evaluation of eigenvalues and eigenvectors in dynamic
03
consideration
(b) Discuss the different types of elements used in FEA from application
04
point of view.
(c) The plane truss, shown in fig., is subjected to a downward vertical
07
load at node 2. If the cross sectional area of both the element is
30mm2 and E=2.1 x 105 N/mm2, Determine the global stiffness
matrix.
Q.6 (a) Explain the common sources of errors in FEA and procedure to
03
measure them.
(b) Consider the following displacement function for the two noded bar
04
element : u = a + b x2. Is this a valid displacement function? Discuss
why or why not
(c) Differentiate between dynamics and statics in FEA. Also explain the
07
different types of nonlinearities that can be incorporated during
analysis.
Q.7 (a) Evaluate: FEA gives an approximate solution.
03
(b) Define the following: Axisymmetric analysis
04
(c) Give Potential Energy Approach to Derive Beam Element Equations.
07
Q.8 (a) Differentiate between spring, bar and beam elements from general and
03
application point of view.
(b) The two noded one dimentional elements has nodes 1 and 2 located
04
at the distance of 200 and 360 mm respectively from y axis. The
displacement sof node 1 and 2 are 0.03mm and -0.05mm
respectively. At point P, located at a distance 40mm from node 1
within the element determine (1) the natural coordinates, (2) the
linear functions and (3) the displacement.
(c) Differentiate between CST and LST.
07
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This post was last modified on 04 March 2021