A Methodology for Determining Static Mode Shapes of a Compliant Mechanism using the Pseudo-Rigid-Body Model (PRBM) Concept and the Degrees-of-Freedom Analysis
Traditionally, the deflected configuration of compliant segments is determined through rigorous mathematical analysis using Newtonian mechanics. Application of these principles in evaluating the deformed configuration of compliant mechanisms, containing a variety of segment types, becomes cumbersome. This paper introduces a methodology to determine the expected deflected configuration(s) of a compliant mechanism, for a given set of load and/or displacement boundary conditions. The method utilizes the principle of minimum total potential energy, in conjunction with the degrees-of-freedom analysis and the pseudo-rigid-body model concept. The static mode shape(s) of compliant segments are integrated in identifying the possible functional configuration(s) of a given compliant mechanism's structural configuration. The methodology, in turn, also facilitates the in situ determination of the deformed configuration of the constituent compliant segments. It thus assists in the identification of an appropriate pseudo-rigid-body model for design and analysis of a compliant mechanism.
S. G. Bapat et al., "A Methodology for Determining Static Mode Shapes of a Compliant Mechanism using the Pseudo-Rigid-Body Model (PRBM) Concept and the Degrees-of-Freedom Analysis," Proceedings of the ASME Design Engineering Technical Conference (2019, Anaheim, CA), vol. 5A-2019, American Society of Mechanical Engineers (ASME), Aug 2019.
The definitive version is available at https://doi.org/10.1115/DETC2019-98497
ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2019 (2019: Aug. 18-21, Anaheim, CA)
Mechanical and Aerospace Engineering
Keywords and Phrases
Degrees of freedom (mechanics); Design; Mechanisms; Potential energy; Rigid structures, Design and analysis; Displacement boundary conditions; Mathematical analysis; Minimum total potential energies; Newtonian mechanics; Pseudo-rigid body models; Static modes; Structural configurations, Compliant mechanisms
International Standard Book Number (ISBN)
Article - Conference proceedings
© 2019 American Society of Mechanical Engineers (ASME), All rights reserved.
01 Aug 2019