Nonlinear vibration of cantilever under the action of lateral harmonic excitations and axial load

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	Nonlinear vibration of cantilever under the action of lateral harmonic excitations and axial load
	Er G.-K.; Du H.
	2015
Source Publication	Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics 2015, Multibody Dynamics 2015
Pages	410-421
Abstract	In this paper, a uniform cantilever beam under the action of the lateral harmonic load on the tip and axial self-weight has been studied. In order to find the effects of high-order nonlinear terms on the response, such as the third and fifth-order nonlinear terms, the variational approach based on extended Hamilton principle is employed to derive the equations of motion and boundary conditions governing the planar nonlinear vibrations of the isotropic and inextensible Euler-Bernoulli beams. Three second-order partial differential equations containing third and fifth-order nonlinear terms are obtained. With Galerkin method, the nonlinear dynamical system in time domain is formulated. Then Runge-Kutta method is adopted to analyse the responses of the system. The nonlinear behavior of the cantilever beam has been examined. The nonlinearity of the cantilever beam under the lateral harmonic load on the tip and the axial self weight is investigated with different frequencies of harmonic excitations and axial forces. Some hardening and softening behaviors have been observed and discussed through the numerical analysis.
Keyword	Cantilever beam Galerkin method Hamilton principle Nonlinear vibration Runge-Kutta method
URL	View the original
Language	英語English
Fulltext Access	View Full-Text via Scopus
Document Type	Conference paper
Collection	DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Affiliation	Universidade de Macau
First Author Affilication	University of Macau
Recommended Citation GB/T 7714	Er G.-K.,Du H.. Nonlinear vibration of cantilever under the action of lateral harmonic excitations and axial load[C], 2015, 410-421.
APA	Er G.-K.., & Du H. (2015). Nonlinear vibration of cantilever under the action of lateral harmonic excitations and axial load. Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics 2015, Multibody Dynamics 2015, 410-421.

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