On the Design of Compliant Mechanisms Using Topology OptimizationFootnote*

*Communicated by P. Pedersen

REFERENCES

• N.M. Sevak and C. W. Mclarnan Optimal synthesis of flexible link mechanisms with large static deflection . ASME Paper No. 74-Det-83 , 1974 .
   Google Scholar
• I. Her and A. Midha A compliance number concept for compliant mechanisms and type synthesis . Journal of Mechanisms, Transmissions and Automation in Design, Transactions of the ASME 109 ( 3 ) 348 – 355 ( 1987 ).
   Google Scholar
• R. H. Burns and F. R. E. Crossley Kinetostatic synthesis of flexible link mechanisms , ASME-Paper No. 68-Mech-36 1968 .
   Google Scholar
• K. E. Petersen , Silicon as a mechanical material , Proc. IEEE 70 ( 5 ) 420 – 457 ( 1982 ).
   Web of Science ®Google Scholar
• C.-J. Kim , A. P. Pisano , and R. S. Muller Silicon-processed overhanging microgripper . Journal of Microelectromechanical Systems 1 ( 1 ) 31 – 36 ( 1992 ).
   Google Scholar
• I. Her , A. Midha , and B. A. Salamon A methodology for compliant mechanisms design Part II—shooting method and application . In ASME, Advances in design automation 44 ( 2 ) 39 – 45 ( 1992 ).
   Google Scholar
• A. Midha , I. Her , and B. A. Salamon A methodology for compliant mechanisms design Pan 1—introduction and large-deflection analysis . In ASME, Advances in design automation 44 ( 2 ) 29 – 38 ( 1992 ).
   Google Scholar
• L. L. Howeil and A. Midha A generalized loop-closure theory for the analysis and synthesis of compliant mechanisms . In ASME Machine Elements and Machine Dynamics 116 491—500 ( 1994 ).
   Google Scholar
• L. L. Howeil and A. Midha A method for design of compliant mechanisms with small length flexural pivots . Transactions of the ASME 116 280 – 290 ( 1994 ).
   Google Scholar
• M. P. Bendsce and N. Kikuchi Generating optimal topologies in optimal design using a homogenization method . Computational Methods in Applied Mechanics and Engineering 71 197 – 224 ( 1988 ).
   Google Scholar
• M. P. Bendsce , Optimization of Structural Topology, Shape and Material , Springer , 1995 .
   Google Scholar
• G.K. Ananthasuresh , S. Kota ,Y Gianchandani A methodical approach to the design of compliant micromechanisms . In Solid-state sensor and actuator workshop , 189 – 192 , 1994 .
   Google Scholar
• O. Sigmund Some inverse problems in topology design of materials and mechanisms . InD. Bestle and W. Schielen, (ed) . Symposium on optimization of mechanical systems . 277 – 284 , Kluwer , Netherlands , 1996 .
   Google Scholar
• U. D. Larsen , O. Sigmund , and S. Bouwstra Design and fabrication of compliant mechanisms and material structures with negative Poisson's ratio , Journal of Microelectromechanical Systems , in press .
   Google Scholar
• B. A. Salamon and A. Midha An introduction to mechanical advantage in compliant mechanisms . ASME Advances in design automation 44 ( 2 ) 47 – 51 ( 1992 ).
   Google Scholar
• P. Pedersen On the minimum mass layout of trusses . In AGARD Conference Proceedings No. 36, Symposium on Structural Optimization , 189 – 192 , 1970 .
   Google Scholar
• K. Schittkowski Numerical comparison of non-linear programming algorithms for structural optimization . Structural Optimization 7 ( 1–2 ) 1 – 19 ( 1994 ).
   Google Scholar
• O. Sigmund and S. Torquato Design of materials with extreme thermal expansion using a three-phase topology optimization method , Journal of the Mechanics and Physics of Solids , in press .
   Google Scholar
• R.J. Hanson and K. L. Hieben A sparse linear programming subprogram , Technical Report SAND81-0297 , Sandia National Laboratories , 1981 .
   Google Scholar
• C. S. Jog and R. B. Haber Stability of finite element models for distributed-parameter optimization and topology design , Computer Methods in Applied Mechanics and Engineering 130 ( 3–4 ) 203 – 226 ( 1996 ).
   Google Scholar
• A. R. Díaz and O. Sigmund Checkerboard patterns in layout optimization , Structural Optimization 10 40 – 45 ( 1995 ).
   Google Scholar
• R. B. Haber , C. Jog , and M. P. Bendsce A new approach to variable-topology shape optimization using a constraint on perimeter . Structural Optimization 11 1 – 12 ( 1996 ).
   Google Scholar
• J. Petersson and O. Sigmund Slope constrained topology optimization , DCAMM-report no. 538 , Danish Center for Applied Mathematics and Mechanics, Lyngby, Denmark , 1977 .
   Google Scholar
• M. G. Mullender , R. Huiskes , and H. Weihnans A physiological approach to the simulation of bone remodelling as a self-organizational controll process . Journal of Biomechanics 11 1389 – 1394 ( 1994 ).
   Google Scholar
• O. Sigmund Design of material structures using topology optimization , PhD thesis, Department of Solid Mechanics , Technical University of Denmark , 1994 .
   Google Scholar
• W. C. Tang , T.-C. H. Nguyen , M. W. Judy , and R. T. Howe Electrostatic comb-drive of lateral polysilicon resonators . In Transducers ’89, 5th International Conference on Solid-Slate Sensors and Actuators , Montreux , Switzerland , 1989 .
   Google Scholar
• O. Sigmund and S. Torquaio Composites with extremal thermal expansion coefficients . Applied Physics Utters 69 ( 21 ) 3203 – 3205 , 1996 .
   Web of Science ®Google Scholar
• W. K. Pratt Digital Image Processing , Johan Wiley and Sons , New York , 1991 .
   Google Scholar
• *Communicated by P. Pedersen
   Google Scholar