Paper
24 August 2009 Behavior simulation for electrically actuated bow-tie shaped fixed-fixed beams based on nodal analysis method
Min Li, Qing-an Huang, Wei-hua Li
Author Affiliations +
Proceedings Volume 7381, International Symposium on Photoelectronic Detection and Imaging 2009: Material and Device Technology for Sensors; 73812N (2009) https://doi.org/10.1117/12.835121
Event: International Symposium on Photoelectronic Detection and Imaging 2009, 2009, Beijing, China
Abstract
This paper reports a nodal model for the trapeziform beam element with gradual change cross-sections. Using this model, electromechanical behavior of the electrically actuated bow-tie shaped fixed-fixed beams can be simulated in a system level. The model is developed by treating the governing equations of the trapeziform beam based on the Galerkin residual method and decomposing the 4th-order partial differential equation into discrete modal ordinary differential equations. After that, the equivalent circuits and corresponding nodal model are established. In the model, the nonlinearities including mid-plane stretching and electrostatic forcing are considered. The accuracy of the developed model is verified by extensively comparing the static and dynamic analysis results with those obtained from FEA and available experiment data. The developed model is also applicable to beam-like structures with uniform cross-sections.
© (2009) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Min Li, Qing-an Huang, and Wei-hua Li "Behavior simulation for electrically actuated bow-tie shaped fixed-fixed beams based on nodal analysis method", Proc. SPIE 7381, International Symposium on Photoelectronic Detection and Imaging 2009: Material and Device Technology for Sensors, 73812N (24 August 2009); https://doi.org/10.1117/12.835121
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KEYWORDS
Beam shaping

Electrodes

Finite element methods

Microelectromechanical systems

Ordinary differential equations

Optical simulations

3D modeling

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