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.
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