A New Approach to Analytical Solution of Cantilever Beam Vibration With Nonlinear Boundary Condition-Reference-Cited by-同舟云学术

A New Approach to Analytical Solution of Cantilever Beam Vibration With Nonlinear Boundary Condition

Published:2012-03-19 Issue:3 Volume:7 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Sedighi Hamid M.¹,Shirazi Kourosh H.¹

Affiliation:

1. Department of Mechanical Engineering, Shahid Chamran University, Ahvaz, 61357-43337 Iran

Abstract

This paper presents the application of novel and reliable exact equivalent function (EF) for deadzone nonlinearity in an analytical investigation of nonlinear differential equations. A highly nonlinear equation of cantilever beam vibration with a deadzone nonlinear boundary condition is used to indicate the effectiveness of this EF. To obtain the analytical solution of dynamic behavior of the mentioned system, a powerful method, called He’s parameter expanding method (HPEM) is used. Comparison of the obtained solutions using a numerical method reveals the accuracy of this analytical EF.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4005924/5778026/034502_1.pdf

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