Abstract
This paper describes how a stability analysis for compliant mechanisms may be performed using catastrophe theory. The philosophy is demonstrated by an analysis of the stability of the planar two-spring and spatial three-spring systems. Catastrophe locus plots are used to predict where a change in stability will occur. The approach presented yields a stability analysis which does not require an inverse analysis of the mechanism.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
P. Dietmaier. An Inverse Force Analysis of a Spatial Three-Spring System. In ARK 4th International Workshop on Advances in Robot Kinematics and 1st International Workshop on Computation Geometry in Kinematics, Slovenia, July 1994, 1994.
R. Gilmore. Catastrophe Theory for Scientists and Engineers. Dover, 1981.
M. Griffis. A Novel Theory for Simultaneously Regulating Force and Displacement. Ph.D. thesis, University of Florida, Gainesville, 1991.
R. Hines. Catastrophe Analysis of Compliant Mechanisms. Master’s thesis, University of Florida, Gainesville, 1995.
R. Hines, D. Marsh, and J. Duffy. Catastrophe Analysis of the Planar Two-Spring Mechanism. In review.
T. Pigoski, M. Griffis, and J. Duffy. Stiffness Mappings Employing Different Frames of Reference. In Flexible Mechanisms Dynamics and Analysis, DE-Vol. 47, ASME Design Technical Conference, Scottsdale, Arizona, 1992.
T. Poston and I. Stewart. Catastrophe Theory and its Applications. Pitmann, 1978.
Y. Zhang, C. Liang, J. Duffy, and E. J. F. Primrose. A Reverse Force Analysis of a Spatial Three-Spring System. In review, 1996.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Kluwer Academic Publishers
About this chapter
Cite this chapter
Marsh, D., Hines, R., Duffy, J. (1996). Stability Analysis of Compliant Mechanisms. In: Lenarčič, J., Parenti-Castelli, V. (eds) Recent Advances in Robot Kinematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1718-7_13
Download citation
DOI: https://doi.org/10.1007/978-94-009-1718-7_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7269-4
Online ISBN: 978-94-009-1718-7
eBook Packages: Springer Book Archive