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.

Meeting Name

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)


Document Type

Article - Conference proceedings

Document Version


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© 2019 American Society of Mechanical Engineers (ASME), All rights reserved.

Publication Date

01 Aug 2019