Dynamic Pull-In Instability of a Thermoelectromechanically Loaded Micro-Beam Based on 'Symmetric Stress' Gradient Elasticity Theory

Yang, L.; Fang, F.; Peng, J. S.; Yang, J.
December 2017
International Journal of Structural Stability & Dynamics;Dec2017, Vol. 17 Issue 10, p-1
Academic Journal
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 Galerkin's 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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