Author/Authors :
SEDIGHI, H. M. shahid chamran university of ahvaz - Deptartment of Mechanical Engineering, اهواز, ايران , SHIRAZI, K. H. shahid chamran university of ahvaz - Deptartment of Mechanical Engineering, اهواز, ايران , NOGHREHABADI, A. R. shahid chamran university of ahvaz - Deptartment of Mechanical Engineering, اهواز, ايران , YILDIRIM, A. University of South Florida Tampa - Deptartment of Mathematics and Statistics, USA , YILDIRIM, A. Ege University - Deptartment of Mathematics, Turkey
Abstract :
This article presents the application of a modern analytical approach on the nonlinear vibration of buckled beam with generalized deadzone discontinuity and proposes a novel identical function (IF) for the nonlinearity. The powerful analytical method called Parameter Expansion Method (PEM) is used to obtain the exact solution of dynamic behavior of the mentioned system. It is demonstrated that two terms in series expansions of the method are sufficient to result in a highly accurate solution. A comparison with numerical methods is performed to show the soundness of the results.
Keywords :
Identical function , Deadzone discontinuity , buckled beam , parameter expansion method
