Geometric modeling and optimization of multimaterial compliant mechanisms using multilayer wide curves

Journal of Mechanical Design

Volumn 130, Issue 6, 2008, Pages 0623031-0623037

  Zhou, Hong ^a   Ting, Kwun Lon ^b  

^a TEXAS A AND M UNIVERSITY KINGSVILLE   (United States)

^b Tennessee Technological University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLIANT MECHANISMS; CURVE FITTING; DESIGN; GEOMETRY; MECHANISMS;

DESIGN OPTION; GEOMETRIC MODELS; GEOMETRIC OPTIMIZATION; MATERIAL'S TYPE; MODEL METHOD; MODELING AND OPTIMIZATION; MULTI MATERIALS; OPTIMIZATION APPROACH; PERFORMANCE; VARIABLE CROSS SECTION;

MULTILAYERS;

EID: 77955195779     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2902278     Document Type: Article

References (51)

1. Midha, A., Norton, T. W., and Howell, L. L., 1994, "On the Nomenclature, Classification, and Abstractions of Compliant Mechanisms," ASME J. Mech. Des., 116(1), pp. 270-279.
2. Ananthasuresh, G. K., and Kota, S., 1995, "Designing Compliant Mechanisms," Mech. Eng. (Am. Soc. Mech. Eng.), 117(11), pp. 93-96.
3. Howell, L. L., 2001, Compliant Mechanisms, Wiley, New York.
4. Kota, S., Ananthasuresh, G. K., Crary, S. B., and Wise, K. D., 1994, "Design and Fabrication of Microelectromechanical Systems," ASME J. Mech. Des., 116(4), pp. 1081-1088.
5. Ananthasuresh, G. K., 2003, Optimal Synthesis Methods for MEMS, Kluwer Academic, Boston.
6. Bendsøe, M. P., and Sigmund, O., 2002, Topology Optimization, Springer, New York.
7. Howell, L. L., and Midha, A., 1994, "A Method for the Design of Compliant Mechanisms With Small-Length Flexural Pivots," ASME J. Mech. Des., 116(1), pp. 280-290.
8. Howell, L. L., and Midha, A., 1995, "Parametric Deflection Approximations for End-Loaded, Large-Deflection Beams in Compliant Mechanisms," ASME J. Mech. Des., 117(1), pp. 156-165.
9. Howell, L. L., and Midha, A., 1996, "A Loop-Closure Theory for the Analysis and Synthesis of Compliant Mechanisms," ASME J. Mech. Des., 118(1), pp. 121-125.
10. Murphy, M. D., Midha, A., and Howell, L. L., 1996, "The Topological Synthesis of Compliant Mechanisms," Mech. Mach. Theory, 31)2), pp. 185-199.
11. Jensen, B. D., and Howell, L. L., 2003, "Identification of Compliant Pseudo- Rigid-Body Four-Link Mechanism Configurations Resulting in Bistable Behavior," ASME J. Mech. Des., 125(4), pp. 701-708.
12. Jensen, B. D., and Howell, L. L., 2004, "Bistable Configurations of Compliant Mechanisms Modeled Using Four Links and Translational Joints," ASME J. Mech. Des., 126(4), pp. 657-666.
13. Masters, N. D., and Howell, L. L., 2005, "A Three Degree-of-Freedom Model for Self-Retracting Fully Compliant Bistable Micromechanisms," ASME J. Mech. Des., 127(4), pp. 739-744.
14. Yu, Y.-Q., Howell, L. L., Lusk, C., Yue, Y., and He, M.-G., 2005, "Dynamic Modeling of Compliant Mechanisms Based on the Pseudo-Rigid-Body Model," ASME J. Mech. Des., 127(4), pp. 760-765.
15. Guérinot, A. E., Magleby, S. P., Howell, L. L., and Todd, R. H., 2005, "Compliant Joint Design Principles for High Compressive Load Situations," ASME J. Mech. Des., 127(4), pp. 774-781.
16. Lobontiu, N., and Garcia, E., 2005, "Circular-Hinge Line Element for Finite Element Analysis of Compliant Mechanisms," ASME J. Mech. Des., 127(4), pp. 766-773.
17. Zettl, B., Szyszkowski, W., and Zhang, W. J., 2005, "On Systematic Errors of Two-Dimensional Finite Element Modeling of Right Circular Planar Flexure Hinges," ASME J. Mech. Des., 127(4), pp. 782-787.
18. Trease, B. P., Moon, Y.-M., and Kota, S., 2005, "Design of Large-Displacement Compliant Joints," ASME J. Mech. Des., 127(4), pp. 788-798.
19. Suzuki, K., and Kikuchi, N., 1991, "A Homogenization Method for Shape and Topology Optimization," Comput. Methods Appl. Mech. Eng., 93, pp. 291-318.
20. Ananthasuresh, G. K., Kota, S., and Kikuchi, N., 1994, "Strategies for Systematic Synthesis of Compliant MEMS," ASME Dyn. Syst. Control, 55(2), pp. 677-686.
21. Larsen, V. D., Sigmund, O., and Bouwstra, S., 1997, "Design and Fabrication of Compliant Micromechanisms and Structures With Negative Poisson's Ratio," J. Microelectromech. Syst., 6(2), pp. 99-106.
22. Sigmund, O., 1997, "On the Design of Compliant Mechanisms Using Topology Optimization," Mech. Struct. Mach., 25(4), pp. 493-524.
23. Bruns, T. E., and Tortorelli, D. A., 2001, "Topology Optimization of Non- Linear Elastic Structures and Compliant Mechanisms," Comput. Methods Appl. Mech. Eng., 190(26-27), pp. 3443-3458.
24. Frecker, M. I., Ananthasuresh, G. K., Nishiwaki, S., Kikuchi, N., and Kota, S., 1997, "Topological Synthesis of Compliant Mechanisms Using Multi-Criteria Optimization," ASME J. Mech. Des., 119(2), pp. 238-245.
25. Joo, J., Kota, S., and Kikuchi, N., 2000, "Topological Synthesis of Compliant Mechanisms Using Linear Beam Elements," Mech. Struct. Mach., 28(4), pp. 245-280.
26. Saxena, A., and Ananthasuresh, G. K., 2001, "Topology Synthesis of Compliant Mechanisms for Nonlinear Force-Deflection and Curved Path Specifications," ASME J. Mech. Des., 123(1), pp. 33-43.
27. Parsons, R., and Canfield, S. L., 2002, "Developing Genetic Programming Techniques for the Design of Compliant Mechanisms," Struct. Multidiscip. Optim., 24(1), pp. 78-86.
28. Maddisetty, H., and Frecker, M., 2004, "Dynamic Topology Optimization of Compliant Mechanisms and Piezoceramic Actuators," ASME J. Mech. Des., 126(6), pp. 975-983.
29. Mankame, N. D., and Ananthasuresh, G. K., 2004, "A Novel Compliant Mechanism for Converting Reciprocating Translation Into Enclosing Curved Paths," ASME J. Mech. Des., 126(4), pp. 667-672.
30. Chapman, C. D., Saitou, K., and Jakiela, M. J., 1994, "Genetic Algorithms as an Approach to Configuration and Topology Design," ASME J. Mech. Des., 116(4), pp. 1005-1012.
31. Chapman, C. D., and Jakiela, M. J., 1996, "Genetic Algorithm-Based Structural Topology Design With Compliance and Topology Simplification Considerations," ASME J. Mech. Des., 118(1), pp. 89-98.
32. Jakiela, M. J., Chapman, C. D., Duda, J. W., Adewuya, A., and Saitou, K., 2000, "Continuum Structural Topology Design With Genetic Algorithms," Comput. Methods Appl. Mech. Eng., 186(2), pp. 339-356.
33. Saxena, A., 2005, "Synthesis of Compliant Mechanisms for Path Generation Using Genetic Algorithm," ASME J. Mech. Des., 127(4), pp. 745-752.
34. Hull, P. V., and Canfield, S., 2006, "Optimal Synthesis of Compliant Mechanisms Using Subdivision and Commercial FEA," ASME J. Mech. Des., 128(2), pp. 337-348.
35. Lu, K. J., and Kota, S., 2006, "Topology and Dimensional Synthesis of Compliant Mechanisms Using Discrete Optimization," ASME J. Mech. Des., 128(5), pp. 1080-1091.
36. Tai, K., Cui, G. Y., and Ray, T., 2002, "Design Synthesis of Path Generating Compliant Mechanisms by Evolutionary Optimization of Topology and Shape," ASME J. Mech. Des., 124(3), pp. 492-500.
37. Zhou, H., and Ting, K. L., 2005, "Topological Synthesis of Compliant Mechanisms Using Spanning Tree Theory," ASME J. Mech. Des., 127(4), pp. 753-759. (Pubitemid 41064233)
38. Pederson, C. B. W., Fleck, N. A., and Ananthasuresh, G. K., 2006, "Design of a Compliant Mechanism to Modify an Actuator Characteristic to Deliver a Constant Output Force," ASME J. Mech. Des., 128(5), pp. 1101-1112.
39. Crane, N. B., and Howell, L. L., 2004, "Compliant Floating-Opposing-Arm Centrifugal Clutch," ASME J. Mech. Des., 126(1), pp. 169-177.
40. Canfield, S., and Frecker, M., 2000, "Topology Optimization of Compliant Mechanical Amplifiers for Piezoelectric Actuators," Struct. Multidiscip. Optim., 20(4), pp. 269-279.
41. Hetrick, J. A., and Kota, S., 1999, "An Energy Formulation for Parametric Size and Shape Optimization of Compliant Mechanisms," ASME J. Mech. Des., 121)2), pp. 229-234.
42. Xu, D., and Ananthasuresh, G. K., 2003, "Freeform Skeletal Shape Optimization of Compliant Mechanisms," ASME J. Mech. Des., 125(2), pp. 253-261.
43. Zhou, H., and Ting, K. L., 2006, "Shape and Size Synthesis of Compliant Mechanisms Using Wide Curve Theory," ASME J. Mech. Des., 128(3), pp. 551-558.
44. Yin, L., and Ananthasuresh, G. K., 2001, "Topology Optimization of Compliant Mechanisms With Multiple Materials Using a Peak Function Material Interpolation Scheme," Struct. Multidiscip. Optim., 23(1), pp. 49-62.
45. Sigmund, O., 2001, "Design of Multiphysics Actuators Using Topology Optimization-Part II: Two-Material Structures," Comput. Methods Appl. Mech. Eng., 190(49-50), pp. 6605-6627. (Pubitemid 33033624)
46. Wang, M. Y., and Chen, S., 2005, "Design of Multi-Material Compliant Mechanisms Using Level Set Methods," ASME J. Mech. Des., 127(5), pp. 941-956.
47. Salomon, D., 1999, Computer Graphics and Geometric Modeling, Springer, New York.
48. Farin, G., 2001, Curves and Surfaces for CAGD: A Practical Guide, Academic, New York.
49. Mestetskii, L. M., 2000, "Fat Curves and Representation of Planar Figures," Comput. Graphics, 24(1), pp. 9-21.
50. Optimization Toolbox for Use With Matlab, User's Guide, Version, 3, 2006, MathWorks, Inc.
51. Crisfield, M. A., 1991, Non-Linear Finite Element Analysis of Solids and Structures, Wiley, New York.