The spreading residue harmonic balance method for studying the doubly clamped beam-type N/MEMS subjected to the van der Waals attraction

被引：31

作者：

Qian, Y. H. ^{[1
]}

Pan, J. L. ^{[1
]}

Qiang, Y. ^{[1
]}

Wang, J. S. ^{[1
,2
]}

机构：

[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R China

[2] Jinhua Polytech, Jinhua, Zhejiang, Peoples R China

来源：

JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL | 2019年 / 38卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

The van der Waals attraction; nano; micro-electro-mechanical systems; spreading residue harmonic balance method; NONLINEAR OSCILLATOR; NANO/MICRO-BEAMS; INSTABILITY; FORCE;

D O I：

10.1177/1461348418813014

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Since the doubly clamped beam-type N/MEMS subjected to the van der Waals attraction is transformed into a mathematical model through Galerkin method, which is a nonlinear differential equation, the spreading residue harmonic balance method is introduced to solve the approximate solution of the nonlinear problem in this paper. The spreading residue harmonic balance method is developed on the basis of the residue harmonic balance method. The disadvantage of the approach is small parameter assumption is needed. In order to improve the accuracy of the approximate solution, the residual of the former order harmonic approximation is introduced. Besides, we compare the second-order spreading residue harmonic balance method solution with the numerical one by the Runge-Kutta method. This proves the availability and validity of spreading residue harmonic balance method.

引用

页码：1261 / 1271

页数：11

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