Nonlinear Dynamic Analysis of Space Truss by Using Multistage Homotopy Perturbation Method

Sudeok Shon, Junhong Ha, Seung‐Jae Lee

Type: Article

Publication Date: 2012-09-20

Citations: 3

DOI: https://doi.org/10.5050/ksnve.2012.22.9.879

Abstract

This study aims to apply multistage homotopy perturbation method(MHPM) to space truss composed of discrete members to obtain a semi-analytical solution. For the purpose of this research, a nonlinear governing equation of the structures is formulated in consideration of geometrical nonlinearity, and homotopy equation is derived. The result of carrying out dynamic analysis on a simple model is compared to a numerical method of 4th order Runge-Kutta method(RK4), and the dynamic response by MHPM concurs with the numerical result. Besides, the displacement response and attractor in the phase space is able to delineate dynamic snapping properties under step excitations and the responses of damped system are reflected well the reduction effect of the displacement.

Locations

Transactions of the Korean Society for Noise and Vibration Engineering - View - PDF

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+	Analytical solutions to heat transfer equations by homotopy-perturbation method revisited	2007	Md. Sazzad Hossien Chowdhury Ishak Hashim
+	Application of homotopy-perturbation method to nonlinear population dynamics models	2007	Md. Sazzad Hossien Chowdhury Ishak Hashim O. Abdulaziz
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+	Homotopy perturbation method for solving boundary value problems	2005	Ji‐Huan He
+	Application of homotopy perturbation method to nonlinear wave equations	2005	Ji‐Huan He
+	The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer	2006	D.D. Ganji
+	A simple perturbation approach to Blasius equation	2003	Ji‐Huan He
+	Application of He's Homotopy Perturbation Method to the Duffing-Harmonic Oscillator	2007	Augusto Beléndez A. Hernández Tarsicio Beléndez Elena Fernández Mariela L. Álvarez Cristian Neipp
+	On multistage homotopy-perturbation method applied to nonlinear biochemical reaction model	2007	Ishak Hashim Md. Sazzad Hossien Chowdhury Shukranul Mawa
+	The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system	2007	Md. Sazzad Hossien Chowdhury Ishak Hashim Shaher Momani