Geometric modeling and optimization of multi-material compliant mechanisms using multi-layer wide curves

ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)

Volumn 10, Issue , 2007, Pages 55-63

  Zhou, Hong ^a   Ting, Kwun Lon ^b  

^a Texas AandM University Kingsville   (United States)

^b Tennessee Technological University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CURVE FITTING; GEOMETRY; MECHANISMS;

CONTROL PARAMETERS; GEOMETRIC MODELING; GEOMETRIC OPTIMIZATION; MULTI MATERIALS; MULTIPLE MATERIALS; NONLINEAR FINITE ELEMENT PROCEDURE; OPTIMAL SELECTION; VARIABLE CROSS SECTION;

COMPLIANT MECHANISMS;

EID: 44349158262     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/IMECE2007-41265     Document Type: Conference Paper

References (51)

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