Compliant mechanisms are mechanical devices that achieve motion via elastic deformation. A new method for topological synthesis of single-piece compliant mechanisms is presented, using a “design for required deflection” approach. A simple beam example is used to illustrate this concept and to provide the motivation for a new multi-criteria approach for compliant mechanism design. This new approach handles motion and loading requirements simultaneously for a given set of input force and output deflection specifications. Both a truss ground structure and a two-dimensional continuum are used in the implementation which is illustrated with design examples.

1.
Ananthasuresh
G. K.
,
Kota
S.
,
1995
, “
Designing Compliant Mechanisms
,”
Mechanical Engineering
, Vol.
117
, No.
11
, November, 1995, pp.
93
96
.
2.
Ananthasuresh, G. K., 1994a, “A New Design Paradigm for Micro-Electro-Mechanical Systems and Investigations on the Compliant Mechanism Synthesis,” Ph.D. Thesis, University of Michigan, Ann Arbor, MI.
3.
Ananthasuresh, G. K., Kota, S., and Gianchandani, Y., 1994b, “A Methodical Approach to the Synthesis of Micro Compliant Mechanisms,” Technical Digest, Solid-State Sensor and Actuator Workshop, June 13–16, 1994, Hilton Head Island, South Carolina, pp. 189–192.
4.
Ananthasuresh, G. K., Kota, S., and Kikuchi, N., 1994c, “Strategies for Systematic Synthesis of Compliant MEMS,” Proceedings, 1994 ASME Winter Annual Meeting, November, 1994, Chicago, Illinois, DSC-Vol. 55-2, pp. 677–686.
5.
Ananthasuresh, G. K., Kota, S., and Gianchandani, Y., 1993, “Systematic Synthesis of Microcompliant Mechanisms-Preliminary Results,” Proceedings, Third National Conference on Applied Mechanisms and Robotics, Nov. 8-10, 1993, Cincinnati, Ohio, Vol. 2, Paper 82.
6.
Barnett, R. L., 1961, “Minimum-Weight Design of Beams for Deflection,” Proceedings of the ASCE, 87, EMI, 75, 1961, pp. 75–109.
7.
Bendso̸e, M. P., Diaz, A., and Kikuchi, N., 1993, “Topology and Generalized Layout Optimization of Elastic Structures,” Topology Design of Structures, Kluwer Academic Publishers.
8.
Bendso̸e, M. P., and Kikuchi, N., 1988, “Generating Optimal Topologies in Structural Design Using a Homogenization Method,” Computer Methods In Applied Mechanics and Engineering, 71 (1988), pp. 197–224.
9.
Frecker, M. I., Kikuchi, N., and Kota, S. 1996, “Optimal Synthesis of Compliant Mechanisms to Satisfy Kinematic and Structural Requirements-Preliminary Results,” Proceedings, 1996 ASME Design Engineering Technical Conferences and Computers In Engineering Conference, Aug. 18–22, 1996, Irvine, California, 96-DETC/DAC-14I7.
10.
Haftka, R. T., and Gu¨rdal, Z., 1992, Elements of Structural Optimization, Third revised and expanded edition, Kluwer Academic Publishers, Boston, pp. 33–44.
11.
Howell, L. L., and Midha, A., 1994, “A Generalized Loop Closure Theory for Analysis and Synthesis of Compliant Mechanisms,” Proceedings, 1994 ASME Design Technical Conference, Sept. 12–14, 1994, Minneapolis, Minnesota, Machine Elements and Machine Dynamics, DE-Vol. 71.
12.
Larsen, U. D., Sigmund, O., and Bouwstra, S., 1996, “Design and Fabrication of Compliant Micromechanisms and Structures with Negative Poisson’s Ratio,” IEEE Ninth Annual International Workshop on Micro Electro Mechanical Systems, An Investigation of Micro Structures, Sensors, Actuators, Machines and Systems, February 11–15, 1996, San Diego, California, 19960-7803-2985-6/96, pp. 365–371.
13.
Mettlach, G. A., and Midha, A., 1996, “Using Burmester Theory in the Design of Compliant Mechanisms,” Proceedings, 1996 ASME Design Engineering Technical Conferences, Aug. 19–22, 1996, Irvine, California, 96DETC/MECH1181.
14.
Murphy, M. D., Midha, A., and Howell, L. L., 1993, “The Topological Synthesis of Compliant Mechanisms,” Proceedings, Third National Conference on Applied Mechanisms and Robotics, Nov. 8–10, 1993, Cincinnati, Ohio, Vol. 2, Paper No. 99.
15.
Nishiwaki, S., Frecker, M., Min, S., and Kikuchi, N., 1996, “Topology Optimization of Compliant Mechanisms Using the Homogenization Method,” International Journal for Numerical Methods in Engineering, submitted for publication.
16.
Shield
R. T.
, and
Prager
W.
,
1970
, “
Optimal Structural Design for Given Deflection
,”
Journal of Applied Mathematics and Physics
,
ZAMP, 21
, pp.
513
523
.
17.
Sigmund, O., 1995, “Some Inverse Problems in Topology Design of Materials and Mechanisms,” Proceedings, IUTAM Symposium on Optimization of Mechanical Systems, March 26–31, 1995, Stuttgart, Germany.
18.
Stratasys 3D Modeler, 1993, Stratasys, Inc., 14950 Martin Dr., Eden Prairie, MN 55344.
This content is only available via PDF.
You do not currently have access to this content.