Voltage-Induced Snap-Through of an Asymmetrically Laminated, Piezoelectric, Thin-Film Diaphragm Micro-actuator: Part 2 -- Numerical and Analytical Results

[+] Author and Article Information
Wei-Che Tai

Postdoctoral Researcher, Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

I. Y. (Steve) Shen

Professor, Department of Mechanical Engineering, University of Washington, Seattle, WA 98195-2600

1Corresponding author.

ASME doi:10.1115/1.4039536 History: Revised February 22, 2018


In Part 2 of the two-paper series, the asymmetrically laminated piezoelectric shell subjected to distributed bias voltage as modeled in Part 1 is analytically and numerically investigated. Three out-of-plane degrees of freedom (DOFs) and a number of in-plane DOFs are retained to study the shell's snap-through phenomenon. A convergence study first confirms that the number of the in-plane DOFs retained not only affects the number of predicted equilibrium states when the bias voltage is absent and prediction of the bias voltage for snap-through to occur and the snap-through mechanisms. Equilibrium states can be symmetric or asymmetric, involving only a symmetric out-of-plane DOF, and additional asymmetric out-of-plane DOFs, respectively. For symmetric equilibrium states, the snap-through mechanism can evolve from the classical bidirectional snap-through and latching to a new type of snap-through that only allows snap-through in one direction (i.e., unidirectional snap-through), depending on the distribution of the bias voltage. For asymmetric equilibrium states, degeneration can occur to the asymmetric bifurcation points when the radii of curvature are equal. Finally, the unidirectional snap-though renders an explanation to the experimental findings in Part 1.

Copyright (c) 2018 by ASME
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