Shape and topology optimization for electrothermomechanical microactuators using level set methods

Journal of Computational Physics

Volumn 228, Issue 9, 2009, Pages 3173-3181

  Luo, Zhen ^a   Tong, Liyong ^a   Ma, Haitao ^b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Compliant mechanisms; Level set methods; Multiphysics actuators; Radial basis functions; Shape and topology optimization

Indexed keywords

ACTUATORS; COMPLIANT MECHANISMS; DROP BREAKUP; HYDROGELS; IMAGE SEGMENTATION; LEVEL MEASUREMENT; NUMERICAL METHODS; RADIAL BASIS FUNCTION NETWORKS; ROTATIONAL FLOW; SHAPE OPTIMIZATION; STRUCTURAL DESIGN; STRUCTURAL OPTIMIZATION; TOPOLOGY;

BASE FUNCTION; ELECTROTHERMOMECHANICAL MICROACTUATORS; LEVEL SET METHOD; MULTI-PHYSICS; MULTIPHYSIC ACTUATOR; RADIAL BASE FUNCTION; RADIAL BASIS; SHAPE AND TOPOLOGY OPTIMIZATION; SIZE OPTIMIZATION; TOPOLOGY OPTIMIZATION METHOD;

MULTIPHYSICS;

EID: 62049086232     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.01.010     Document Type: Article

References (31)

1. Allaire G., Jouve F., and Toader A.M. Structural optimization using sensitivity analysis and a level-set method. Journal of Computational Physics 194 (2004) 363-393
2. Ananthasuresh G.K. Optimal synthesis methods for MEMS (2003), Kluwer, Boston
3. Bathe K.J. Finite Element Procedures (1996), Prentice-Hall, Englewood Cliffs, NJ
4. Belytschko T., Xiao S.P., and Parimi C. Topology optimization with implicit function and regularization. International Journal for Numerical Methods in Engineering 57 (2003) 1177-1196
5. Bendsøe M.P., and Kikuchi N. Generating optimal topology in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering 71 (1988) 197-224
6. Bendsøe M.P., and Sigmund O. Material interpolation schemes in topology optimization. Archive of Applied Mechanics 69 (1999) 635-654
7. Bendsøe M.P., and Sigmund O. Topology Optimization: Theory, Methods, and Applications (2003), Springer, Berlin, Heidelberg
8. Bruns T.E., and Tortorelli D.A. Topology optimization of nonlinear elastic structures and compliant mechanisms. Computer Methods in Applied Mechanics and Engineering 190 (2001) 3443-3459
9. Buhmann M.D. Radial Basis Functions: Theory and Implementations. Cambridge Monographs on Applied and Computational Mathematics vol. 12 (2004), Cambridge University Press, New York
10. Burger M., Hackl B., and Ring W. Incorporating topological derivatives into level set methods. Journal of Computational Physics 194 (2004) 344-362
11. Haber E. A multilevel level-set method for optimizing eigenvalues in shape design problems. Journal of Computational Physics 198 (2004) 518-534
12. Howell L.L. Compliant Mechanisms (2001), John Wiley & Sons Inc., New York
13. Luo Z., Tong L.Y., Wang M.Y., and Wang S.Y. Shape and topology optimization of compliant mechanisms using a parameterization level set method. Journal of Computational Physics 227 (2007) 680-705
14. Luo Z., and Tong L.Y. A level set method for shape and topology optimization of large-displacement compliant mechanisms. International Journal for Numerical Methods in Engineering 76 (2008) 862-892
15. Luo Z., Tong L.Y., Luo J.Z., Wei P., and Wang M.Y. Design of piezoelectric actuators using a multiphase level set method of piecewise constants. Journal of Computational Physics 228 (2009) 2643-2659
16. Osher S., and Sethian J.A. Front propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 79 (1988) 12-49
17. Osher S., and Santosa F. Level set methods for optimization problems involving geometry and constraints I. Frequencies of a two-density inhomogeneous drum. Journal of Computational Physics 171 (2001) 272-288
18. Osher S., and Fedkiw R.P. Level set methods and dynamic implicit surface (2002), Springer-Verlag, New York
19. Pedersen C.B.W., Buhl T., and Sigmund O. Topology synthesis of large-displacement compliant mechanisms. International Journal for Numerical Methods in Engineering 50 (2001) 2683-2705
20. Schaback R., and Wendland H. Using compactly supported radial basis functions to solve partial differential equations. In: Chen C.S., Brebbia C.A., and Pepper D.W. (Eds). Boundary Element Technology XIII (1999), WitPress, Southampton, Boston 311-324
21. Sethian J.A. Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Version and Material Science. Cambridge Monograph on Applied and Computational Mathematics (1999), Cambridge University Press, UK
22. Sethian J.A., and Wiegmann A. Structural boundary design via level set and immersed interface methods. Journal of Computational Physics 163 (2000) 489-528
23. Sigmund O. Design of multiphysics actuator using topology optimization - Part I: One material structure. Computer Methods in Applied Mechanics and Engineering 190 (2001) 6577-6604
24. Sokolowski J., and Zolesio J.P. Introduction to Shape Optimization: Shape Sensitivity Analysis (1992), Springer, Berlin
25. Svanberg K. The method of moving asymptotes: a new method for structural optimization. International Journal for Numerical Methods in Engineering 24 (1987) 359-373
26. Wang M.Y., Wang X.M., and Guo D.M. A level set method for structural topology optimization. Computer Methods in Applied Mechanics and Engineering 192 (2003) 227-246
27. Wendland H. Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Advances in Computational Mathematics 4 (1995) 389-396
28. Xie Y.M., and Steven G.P. A simple evolution procedure for structural optimization. Computers and Structures 49 (1993) 885-896
29. Yin L.Z., and Ananthasuresh G.K. A novel topology design scheme for the multi-physics problems of electro-thermally actuated compliant micromechanisms. Sensors and Actuators 97-98 (2002) 599-609
30. Yoon G.H., and Kim Y.Y. The element connectivity parameterization formulation for the topology design optimization of multiphysics systems. International Journal for Numerical Methods in Engineering 64 (2005) 1649-1677
31. Zhou M., and Rozvany G.I.N. The COC algorithm, Part II: Topological, geometry and generalized shape optimization. Computer Methods in Applied Mechanics and Engineering 89 (1991) 197-224