Articles | Volume 5, issue 2
https://doi.org/10.5194/ms-5-67-2014
https://doi.org/10.5194/ms-5-67-2014
Research article
 | 
12 Dec 2014
Research article |  | 12 Dec 2014

A function for characterizing complete kinetostatic behaviors of compliant bistable mechanisms

G. Li and G. Chen

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Cited articles

Andò, B., Baglio, S., L'Episcopo, G., and Trigona, C.: Investigation on mechanically bistable MEMS devices for energy harvesting from vibration, J. Microelectromech. Syst., 21(4): 779–790, 2012.
Charlot, B., Sun, W., Yamashita, K., Fujita, H., and Toshiyoshi, H.: Bistable nanowire for micromechanical memory, J. Micromech. Microeng, 18, 045005, https://doi.org/10.1088/0960-1317/18/4/045005, 2008.
Chen, G. and Du, Y.: Double-Young tristable mechanisms, ASME J. Mechan. Robot., 5, 011007, https://doi.org/ 10.1115/1.4007941, 2013.
Chen, G. and Zhang, S.: Fully-compliant statically-balanced mechanisms without prestressing assembly: concepts and case studies, Mechan. Sci., 2, 169–174, 2011.
Chen, G., Aten, Q. T., Zirbel, S., Jensen, B. D., and Howell, L. L.: A tristable mechanism configuration employing orthogonal compliant mechanisms, ASME J. Mechan. Robot., 2, 014501, https://doi.org/10.1115/1.4000529, 2009a.
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Short summary
A rational function called tri-root bistable function are proposed to represent the complete nonlinear bistable force-displacement characteristics. The function has a cubic polynomial numerator and quadratic polynomial denominator. For the classic fully-compliant bistable mechanism, six closed-form equations are used to describe the relationships between the function parameters and the mechanism's design parameters, which are achieved using a multi-variable nonlinear regression.