A Compliant Bistable Mechanism Design Incorporating Elastica Buckling Beam Theory and Pseudo-Rigid-Body Model

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In this work, a new compliant bistable mechanism design is introduced. The combined use of pseudo-rigid-body model (PRBM) and the Elastica buckling theory is presented for the first time to analyze the new design. This mechanism consists of the large deflecting straight beams, buckling beams, and a slider. The kinematic analysis of this new mechanism is studied, using nonlinear Elastica buckling beam theory, the PRBM of a large deflecting cantilever beam, the vector loop closure equations, and numerically solving nonlinear algebraic equations. A design method of the bistable mechanism in microdimensions is investigated by changing the relative stiffness of the flexible beams. The actuation force versus displacement characteristics of several cases is explored and the full simulation results of one of the cases are presented. This paper demonstrates the united application of the PRBM and the buckling Elastica solution for an original compliant mechanism kinematic analysis. New compliant mechanism designs are presented to highlight where such combined kinematic analysis is required.
Original languageEnglish
JournalJournal of Mechanical Design
Issue number4
Pages (from-to)042304
Publication statusPublished - 2008

Bibliographical note

Pagination: 042304-1-14

CitationsWeb of Science® Times Cited: No match on DOI

    Research areas

  • large-deflection analysis, compliant mechanisms, buckling beam theory, pseudo-rigid-body model, bistable micromechanisms, Elastica theory

ID: 3818978