A study of the nonlinear response of a resonant microbeam to an electric actuation
type: Item
instance of: scholarly article
title: A study of the nonlinear response of a resonant microbeam to an electric actuation
zbMATH Open document ID: 1047.74027
DOI: 10.1023/A:1022103118330
published in: Nonlinear Dynamics
publication date: 2003-08-28T00:00:00Z
review text: The authors study the influence of nonlinearities on the resonant response of microbeam to electric actuation. The nonlinearities may be of geometrical nature, and may be induced by electrical force nonlinearities. So, the integro-partial-differential equation with linear and nonlinear terms contains the external and parametric excitation terms. The clamped micrometer beam is studied which has the ratio of length to thickness less than 10. The influence of rotational inertia and shearing is neglected. The Duffing model of the beam first mode with cubic nonlinearities is insufficient, and it is necessary to account for quadratic nonlinearities which characterize the electric forces. The failure to correctly account for the nonlinearities in the system may lead to erroneous results because cubic nonlinearities predict rather a hardening behavior than the correct softening behavior. The comparison of experimental and theoretical results show their good coincidence.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 1972159
zbMATH Keywords: primary resonance
zbMATH Keywords: forced vibrations
zbMATH Keywords: quadratic nonlinearities
author: M. Younis
author: A. H. Nayfeh
reviewed by: Yuri N. Sankin
MaRDI profile type: Publication
full work available at URL: a:1022103118330
OpenAlex ID: W144631110
description: scientific article; zbMATH DE number 1972159