Integrated mechanically based CAE system using B-Spline finite elements

CAD Computer Aided Design

Volumn 32, Issue 8-9, 2000, Pages 539-552

  Kagan, P ^a   Fischer, A ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

B Spline finite element; Integrated CAE system; Mechanically based CAGD

Indexed keywords

EID: 0001707803     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0010-4485(00)00041-5     Document Type: Article

References (31)

1. Bartels RH, Beatty JC, Barsky BA. An introduction to splines for use in computer graphics and geometric modeling. Los Altos, CA: Morgan Kaufmann, 1987.
2. Piegl L, Tiller W. The NURBS book. 2nd ed. Springer, 1997.
3. Hilton TL, Egbert PK. Vector fields: an interactive tool for animation, modeling and simulation with physically based 3D particle systems and soft objects, EUROGRAPHICS '94, vol. 13(3) 1994 (p. 329-38).
4. Thingvold JA, Cohen E. Physical modeling with B-Spline surfaces for interactive design and animation. Computer Graphics 1990;26(2):129-37.
5. Wu Y, Thalmann D, Thalmann NM. Computer graphics: developments in virtual environments, chapter deformable surfaces using physically based particle systems. New York: Academic Press, 1995 (p. 205-15).
6. Reeves WT, Blau R. Approximate and probabilistic algorithms for shading and rendering structured particle systems. Computer Graphics 1985;19(3):313-22.
7. Breen DE, House DH, Wozny MJ. Predicting the drape of woven cloth using interacting particles. Computer Graphics Proceedings, Annual Conference Series 1994;July:365-72.
8. Barzel R, Barr AH. A modeling system based on dynamic constraints. Computer Graphics 1988;22(4):179-88.
9. Witkin A, Kass M. Spacetime constraints. Computer Graphics 1988;22(4):159.
10. Baraff D. Analytical methods for dynamic simulation of non-penetrating rigid bodies. ACM Computer Graphics 1989;23(3):223-32.
11. Celniker G, Gossard D. Deformable curve and surface finite elements for free-form shape design. Computer Graphics 1991;25(4):257-66.
12. Kang H, Kak A. Deforming virtual objects interactively in accordance with an elastic model. Computer Aided Design 1996;28(4):251-62.
13. Terzopoulos D, Platt J, Barr A, Fleischer K. Elastically deformable models. Computer Graphics 1987;21(4):205-14.
14. Terzopoulos D, Fleischer K. Modeling inelastic deformation: viscoelasticity, plasticity, fracture. Computer Graphics 1988;22(4):269-78.
15. Terzopoulos D, Qin H. Dynamic NURBS with geometric constraints for interactive sculpturing. ACM Transactions on Graphics 1994;13(2):103-36.
16. Welch W, Witkin A. Variational surface modeling. Computer Graphics 1992;26(2):157-66.
17. Welch W, Witkin A. Free-form shape design using triangulated surfaces. Computer Graphics Proceedings, Annual Conference Series 1994:247-56.
18. Pentland A, Williams J. Good vibrations: modal dynamics for graphics and animation. Computer Graphics 1989;23(3):215-22.
19. Metaxas D, Terzopoulos D. Dynamic deformation of solid primitives with constraints. Computer Graphics 1992;26(2):309-12.
20. Bercovier M, Jacobi A. Minimization, constraints and composite Bézier curves. Computer Aided Geometric Design 1994;11:533-63.
21. Fang L, Gossard D. Multidimensional curve fitting to unorganized data points by nonlinear minimization. Computer Aided Design 1995;27(1):48-58.
22. Celniker G. Deformable curve and surface finite elements for free form shape design. PhD thesis, Mechanical Engineering Department, MIT, 1990.
23. Fan SC, Luah MH. Nine node spline element for free vibration analysis of general plates. Journal of Sound and Vibration 1993;165(1):85-100.
24. Moore CJ, Yang TY. A new 48 d.o.f. quadrilateral shell element with variable-order polynomial and rational E-Spline geometries with rigid body modes. International Journal for Numerical Methods in Engineering 1984;20:2121-41.
25. Wang S. A unified Timoshenko beam B-Spline Rayleigh-Ritz method for vibration and buckling analysis of thick and thin beams and plates. International Journal for Numerical Methods in Engineering 1997;40:473-91.
26. Davies AM. Numerical investigation of errors arising in applying the Galerkin method of the solution of nonlinear partial differential equations. Computer Methods in Applied Mechanics and Engineering 1977;11:341-50.
27. Deitz D. The convergence of design and analysis. Mechanical Engineering 1997;119(3):93-100.
28. Deitz D. One-stop design and analysis. Mechanical Engineering 1997;119(2):63-5.
29. Kagan P. New B-Spline finite element approach for geometric design and mechanical analysis. Master's thesis, Technion - Israel Institute of Technology, Haifa, Israel, 1997.
30. Kagan P, Fischer A, Bar-Yoseph P. New B-Spline finite element approach for geometrical design and mechanical analysis. International Journal for Numerical Methods in Engineering 1998;41(1):435-58.
31. Zienkiewicz OC, Taylor RL. The finite element method. 4th ed. London: McGraw-Hill, 1989.