Journal
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
Volume 75, Issue 4, Pages 317-331Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/zna-2019-0356
Keywords
Homotopy Analysis Method; Positive and Negative Second-Order Strain Gradient Theories; Pull-in Instability; Rectangular Nanoplates
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Based on the positive and negative second-order strain gradient theories along with Kirchhoff thin plate theory and von Karman hypothesis, the pull-in instability of rectangular nanoplate is analytically investigated in the present article. For this purpose, governing models are extracted under intermolecular, electrostatic, hydrostatic, and thermal forces. The Galerkin method is formally exerted for converting the governing equation into an ordinary differential equation. Then, the homotopy analysis method is implemented as a well-designed technique to acquire the analytical approximations for analyzing the effects of disparate parameters on the nonlinear pull-in behavior. As an outcome, the impacts of nonlinear forces on nondimensional fundamental frequency, the voltage of pull-in, and softening and hardening effects are examined comparatively.
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