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TECHNICAL PAPERS

Inverse Static Analysis of a Planar System With Flexural Pivots

[+] Author and Article Information
Marco Carricato, Vincenzo Parenti-Castelli

Department of Mechanical Engineering—DIEM University of Bologna Viale Risorgimento 2, 40136 Bologna, Italy

Joseph Duffy

Center for Intelligent Machines and Robotics University of Florida Gainesville, FL 32611e-mail: cimar@cimar.me.ufl.edu

J. Mech. Des 123(1), 43-50 (Jan 01, 2000) (8 pages) doi:10.1115/1.1338483 History: Received January 01, 2000
Copyright © 2001 by ASME
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References

Mason, M. T., 1982, “Compliant Motion,” Robot Motion: Planning and Control, Brady et al., eds., MIT Press.
Whitney,  D. E., 1982, “Quasi-Static Assembly of Compliantly Supported Rigid Parts,” ASME J. Dyn. Syst., Meas., Control, 104, No. 1, pp. 65–77.
Griffis,  M., and Duffy,  J., 1991, “Kinestatic Control: A Novel Theory for Simultaneously Regulating Force and Displacement,” ASME J. Mech. Des., 113, No. 4, pp. 508–515.
Her,  I., and Midha,  A., 1987, “A Compliance Number Concept for Compliant Mechanisms, and Type Synthesis,” ASME J. Mech., Transm., Autom. Des., 109, No. 3, pp. 348–355.
Saxena, A., and Ananthasuresh, G. K., 1998, “An Optimality Criteria Approach for the Topology Synthesis of Compliant Mechanisms,” Proc. of the 1998 ASME Design Engineering Technical Conferences, Sept., Atlanta, GA, USA, DETC98/MECH-5937.
Howell,  L. L., and Midha,  A., 1995, “Parametric Deflection Approximations for End-Loaded Beams in Compliant Mechanisms,” ASME J. Mech. Des., 117, No. 1, pp. 156–165.
Howell,  L. L., and Midha,  A., 1996, “A Loop-Closure Theory for the Analysis and Synthesis of Compliant Mechanisms,” ASME J. Mech. Des., 118, No. 1, pp. 121–125.
Midha,  A., Norton,  T. W., and Howell,  L. L., 1994, “On the Nomenclature, Classification, and Abstractions of Compliant Mechanisms,” ASME J. Mech. Des., 116, No. 1, pp. 270–279.
Pigoski,  T., and Duffy,  J., 1995, “An Inverse Force Analysis of a Planar Two-Spring System,” ASME J. Mech. Des., 117, No. 4, pp. 548–553.
Hines,  R., Duffy,  J., and Primrose,  E. J. F., 1996, “Inverse Analysis of a Planar Two-Spring System,” J. Rob. Syst., 13, No. 10, pp. 679–684.
Dietmaier,  P., 1995, “An Inverse Force Analysis of a Tetrahedral Three-Spring System,” ASME J. Mech. Des., 117, No. 2(A), pp. 286–291.
Zhang,  Y., Liang,  C. G., Duffy,  J., and Primrose,  E. J. F., 1997, “A Reverse Force Analysis of a Spatial Three-Spring System,” Mech. Mach. Theory, 32, No. 6, pp. 667–678.
Sun,  L., Liang,  C. G., and Liao,  Q. Z., 1997, “A Reverse Static Force Analysis of a Special Planar Three-Spring System,” Mech. Mach. Theory, 32, No. 5, pp. 609–615.
Carricato, M., 1998, “Theoretical Contributions for the Static Analysis of Mechanisms with Compliant Elements,” in Italian, Master Thesis in Mechanical Engineering, University of Bologna.

Figures

Grahic Jump Location
Schematic of the compliant mechanism
Grahic Jump Location
Numerical example: flowchart of the solving process
Grahic Jump Location
Numerical example: solutions in the plane (x,y)  

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