EBSCO Logo
Connecting you to content on EBSCOhost
Title

691. Dynamic analysis of preload nonlinearity in nonlinear beam vibration.

Authors

Sedighi, Hamid M.; Reza, Arash; Zare, Jamal

Abstract

The objective of this paper is to propose a novel exact equivalent function (EF) for preload nonlinearity. The nonlinear preloaded spring force, which is exerted on the cantilever beam has been rewritten with a definite force-displacement relationship using new EF. This approach permits us to overcome severe computational issues that are encountered in the analytical investigations of nonlinear problems. Highly nonlinear equation of beam vibration under the influence of preloaded spring at its end with cubic nonlinearity is considered and the related analytical solution is obtained through Parameter-expansion Method (PEM). Finally, the soundness of the introduced EF would be verified by comparison of the results with the obtained solutions using numerical method.

Subjects

VIBRATION (Mechanics); NONLINEAR theories; BEAM dynamics; NUMERICAL analysis; SOUND; PARAMETER estimation

Publication

Journal of Vibroengineering, 2011, Vol 13, Issue 4, p778

ISSN

1392-8716

Publication type

Academic Journal

EBSCO Connect | Privacy policy | Terms of use | Copyright | Manage my cookies
Journals | Subjects | Sitemap
© 2025 EBSCO Industries, Inc. All rights reserved