A Methodology for Determining Static Mode Shapes of a Compliant Mechanism using the Pseudo-Rigid-Body Model 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 this approach in evaluating the deformed configuration of compliant mechanisms, containing a variety of segment types, becomes cumbersome. This paper introduces a methodology to determine the possible deflected configuration(s) of a compliant mechanism, for a given set of load and/or displacement boundary conditions. The methodology utilizes the principle of minimum 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 deflected configuration(s) of a given compliant mechanism. The methodology facilitates the in situ determination of the possible deformed configuration(s) of the compliant mechanism and its constituent segments. This, in turn, assists in the important task of identifying an appropriate pseudo-rigid-body model for the design and analysis of a compliant mechanism. The proposed methodology is illustrated with examples, and supported with experimental validation.
P. Bagivalu Prasanna et al., "A Methodology for Determining Static Mode Shapes of a Compliant Mechanism using the Pseudo-Rigid-Body Model Concept and the Degrees-Of-Freedom Analysis," Journal of Mechanisms and Robotics, vol. 12, no. 2, American Society of Mechanical Engineers (ASME), Apr 2021.
The definitive version is available at https://doi.org/10.1115/1.4045971
Mechanical and Aerospace Engineering
Keywords and Phrases
Bio-inspired design; Compliant mechanisms; Mechanism degrees-of-freedom; Mechanism design; Mechanism synthesis; Microscale mechanisms and robotics; Mode shapes of compliant mechanisms
International Standard Serial Number (ISSN)
Article - Journal
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01 Apr 2021