Abstract
A study was made of the dynamic response of a circular clamped micro-plate actuated by a DC/AC voltage. The analysis considers not only the non-linear electrostatic coupling force, residual stress effect, and hydrostatic pressure acting on the upper surface, but also the squeeze-film damping effect generated by the air gap between the vibrating micro-plate and the fixed substrate. The nonlinear governing equation of motion of the circular micro-plate was solved using a hybrid numerical method comprising the differential transformation and the finite difference. It was shown that the numerical results obtained for the pure DC pull-in voltage deviate by no more than 1.6% from the results presented in the literature. The effects of the actuating voltage, hydrostatic pressure, squeezefilm damping, and residual stress on the dynamic response of the clamped circular micro-plate were systematically examined. In addition, the stability of the vibrating micro-plate was investigated examined by reference to phase portraits. (Figure presented.).
Original language | English |
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Pages (from-to) | 132-139 |
Number of pages | 8 |
Journal | Smart Science |
Volume | 5 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2017 Jan 1 |
All Science Journal Classification (ASJC) codes
- Chemistry (miscellaneous)
- Modelling and Simulation
- Energy (miscellaneous)
- Engineering(all)
- Fluid Flow and Transfer Processes
- Computer Networks and Communications
- Computational Mathematics