JNTUK M.Tech R19 2020 Model Question Papers || JNTU kakinada (All Branches)
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I M. Tech I Semester (R19) Regular Examinations
GEOMETRIC MODELING
Department of Mechanical Engineering
MODEL QUESTION PAPER
TIME: 3Hrs. Max. Marks: 75
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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 |
| b). | Derive the geometric form of hermit’s cubic spline. | 1 | 3 |
| OR | |||
| 2. a). | Supply the algebraic form of a cubic spline. | 1 | 2 |
| b). | What are the properties of parametric curves? | 1 | 2 |
| UNIT-II | |||
| 3. a). | Explain about the properties of Beizer curve. | 2 | 2 |
| b). | Derive the equation of a closed Bezier curve of degree 5. | 2 | 3 |
| OR | |||
| 4. a). | Explain about composite beizer curves | 2 | 2 |
| b). | Explain about truncated and subdividing of curves | 2 | 2 |
| UNIT-III | |||
| 5. a). | Calculate the five third-order non-uniform B-spline basis functions N;i3() i=1,2,3,4,5using the ‘knot vectors [X]=[0011333] which contains an interior repeated knot value. | 3 | 3 |
| b). | Explain abt Quadratic and-cubic B -Spline basis functions | 3 | 2 |
| OR | |||
| 6. a). | Fit a B-spline curve -with the following control points P;(0,0), P»(2,2), P1(4,4),P4(6,6). | 3 | 3 |
| b). | Sweep the normalized cubic spline curve segment defined by P [0 3 0 3 1,P[3001]and Pi[3000],Pi[3 00 0] 10 units along Z-axis. | 3 | 3 |
| 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 |
| 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 |
| OR | |||
| 8. a). | Develop the equations of following surfaces: (1)Torus; (i1)) Ruled surface; (iii) coons bilinear patch; & (iv) Bezier surface of degrees 2 x 3. | 4 | 3 |
| b). | surface. | 4 | 2 |
| UNIT-V | |||
| 9. a). | Discuss the properties of composite objects. | 5 | 2 |
| b). | Explain abt Tri -cubic solid in detail. | 5 | 2 |
| OR | |||
| 10. a). | Explain Half space modeling in detail and provide two examples. | 5 | 2 |
| b). | Discuss with the help of neat sketches, the most commonly used solid entities | 5 | 2 |
CO-CRSE TCOME KL-KNOWLEDGE LEVEL M-MARKS
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