Published February 2008 | Version v1
Journal article

Asymptotic numerical method for multi-degree-of-freedom nonlinear dynamic systems

  • 1. College of Information and Electrical Engineering, China Agricultural University, Beijing 100083 (China)
  • 2. College of Life Sciences, University College Dublin, Dublin 2 (Ireland)
  • 3. Institute of Applied Mechanics, Jinan University, Guangzhou 510632 (China)

Description

Homotopy perturbation method (HPM) proposed by Ji-Huan He is very effective and convenient for single-degree-of-freedom systems. In this paper a coupling technique of He's method and precise integration method (PIM) is suggested to solve multi-degree-of-freedom nonlinear dynamic systems. The new technique keeps the merits of the two methods. Some examples are given to illustrate its effectiveness and convenience. Furthermore the obtained solution is of high accuracy

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2006.05.067

Additional details

Identifiers

DOI
10.1016/j.chaos.2006.05.067;
PII
S0960-0779(06)00502-9;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
35
Journal Issue
3
Journal Page Range
p. 536-542
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39048041
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ACCURACY; ASYMPTOTIC SOLUTIONS; DEGREES OF FREEDOM; NONLINEAR PROBLEMS; PERTURBATION THEORY
Descriptors DEC
MATHEMATICAL SOLUTIONS

Optional Information

Copyright
Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.