期刊
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
卷 17, 期 10, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219455417501176
关键词
Micro-beam; size er ect; temperature change; strain gradient elasticity; dynamic pull-in; MEMS; geometric nonlinearity
资金
- Science Foundation
- Education Department of Sichuan Province, China [16ZB0433]
The dynamic pull-in instability of a thermoelectromechanically loaded micro-beam is investigated based on the symmetric stress gradient elasticity theory and Euler-Bernoulli beam theory. The beam is subjected to the combined action of an electric voltage, axial static force and a uniform temperature change. By employing Galerkins method, the nonlinear partial differential governing equation is decoupled into a set of nonlinear ordinary differential equations, which are then solved using Runge-Kutta method. Numerical results show that compared with the size-dependent micro-beam model, the classical elasticity theory in which the size effect is ignored underestimates the pull-in voltage. The effects of size, temperature change, axial force, geometric nonlinearity, fringe effect, initial gap, beam length and width on the pull-in instability of the micro-beam are discussed in detail.
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