Download JNTUK M-Tech 2020 R19 ME Geometric Modeling Model Question Paper

Download JNTUK (Jawaharlal Nehru Technological University Kakinada (JNTU kakinada)) M.Tech (ME is Master of Engineering) 2020 R19 ME Geometric Modeling Model Previous Question Paper

1

( A)
[M19CAD1101]
I M. Tech I Semester (R19) Regular Examinations
GEOMETRIC MODELING
Department of Mechanical Engineering
MODEL QUESTION PAPER
TIME: 3Hrs. Max. Marks: 75 M
Answer ONE Question from EACH UNIT.
All questions carry equal marks.
*****
CO KL M
UNIT-I
1. a). Explain abt Non ? Parametric representation of curves. 1 2 8
b). Derive the geometric form of hermit?s cubic spline. 1 3 7
OR
2. a). Supply the algebraic form of a cubic spline. 1 2 8
b). What are the properties of parametric curves? 1 2 7

UNIT-II
3. a). Explain about the properties of Beizer curve. 2 2 8
b). Derive the equation of a closed Bezier curve of degree 5. 2 3 7
OR
4. a). Explain about composite beizer curves 2 2 8
b). Explain about truncated and subdividing of curves 2 2 7

UNIT-III
5. a). Calculate the five third-order non-uniform B-spline basis functions
N
i,3
(t) i=1,2,3,4,5using the knot vectors [X]=[0011333] which
contains an interior repeated knot value.
3 3 8
b). Explain abt Quadratic and cubic B -Spline basis functions 3 2 7
OR
6. a). Fit a B-spline curve with the following control points P
1
(0,0), P
2
(2,2),
P
3
(4,4),P
4
(6,6).
3 3 8
b). Sweep the normalized cubic spline curve segment defined by P [0 3 0
1], P [3 0 0 1] and Pi [3 0 0 0] ,Pi [3 0 0 0] 10 units along Z-axis.
3 3 7

UNIT-IV
7. a). Determine the point on bilinear surface defined by P(0,0)=[0 0 1],
P(0,1)=[1 1 1], P(1,0)=[1 0 0], P(1,1)=[0 1 0], i.e., the ends of opposite
diagonals on opposite faces of unit cube in object space,
corresponding to u=w=0.5 in parametric space.
4 3 8
b). Show by example that a planar coons bi-cubic surface results when the
position, tangent and twist vectors all lie in the same plane.
4 3 7
OR
8. a). Develop the equations of following surfaces:
(i)Torus; (ii) Ruled surface; (iii) coons bilinear patch; & (iv) Bezier
4 3 8
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1

( A)
[M19CAD1101]
I M. Tech I Semester (R19) Regular Examinations
GEOMETRIC MODELING
Department of Mechanical Engineering
MODEL QUESTION PAPER
TIME: 3Hrs. Max. Marks: 75 M
Answer ONE Question from EACH UNIT.
All questions carry equal marks.
*****
CO KL M
UNIT-I
1. a). Explain abt Non ? Parametric representation of curves. 1 2 8
b). Derive the geometric form of hermit?s cubic spline. 1 3 7
OR
2. a). Supply the algebraic form of a cubic spline. 1 2 8
b). What are the properties of parametric curves? 1 2 7

UNIT-II
3. a). Explain about the properties of Beizer curve. 2 2 8
b). Derive the equation of a closed Bezier curve of degree 5. 2 3 7
OR
4. a). Explain about composite beizer curves 2 2 8
b). Explain about truncated and subdividing of curves 2 2 7

UNIT-III
5. a). Calculate the five third-order non-uniform B-spline basis functions
N
i,3
(t) i=1,2,3,4,5using the knot vectors [X]=[0011333] which
contains an interior repeated knot value.
3 3 8
b). Explain abt Quadratic and cubic B -Spline basis functions 3 2 7
OR
6. a). Fit a B-spline curve with the following control points P
1
(0,0), P
2
(2,2),
P
3
(4,4),P
4
(6,6).
3 3 8
b). Sweep the normalized cubic spline curve segment defined by P [0 3 0
1], P [3 0 0 1] and Pi [3 0 0 0] ,Pi [3 0 0 0] 10 units along Z-axis.
3 3 7

UNIT-IV
7. a). Determine the point on bilinear surface defined by P(0,0)=[0 0 1],
P(0,1)=[1 1 1], P(1,0)=[1 0 0], P(1,1)=[0 1 0], i.e., the ends of opposite
diagonals on opposite faces of unit cube in object space,
corresponding to u=w=0.5 in parametric space.
4 3 8
b). Show by example that a planar coons bi-cubic surface results when the
position, tangent and twist vectors all lie in the same plane.
4 3 7
OR
8. a). Develop the equations of following surfaces:
(i)Torus; (ii) Ruled surface; (iii) coons bilinear patch; & (iv) Bezier
4 3 8
2

surface of degrees 2 ? 3.
b). surface. 4 2 7

UNIT-V
9. a). Discuss the properties of composite objects. 5 2 8
b). Explain abt Tri -cubic solid in detail. 5 2 7
OR
10. a). Explain Half space modeling in detail and provide two examples. 5 2 8
b). Discuss with the help of neat sketches, the most commonly used solid
entities
5 2 7
CO-CRSE TCOME KL-KNOWLEDGE LEVEL M-MARKS

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