Polynomial solution of the single degree of freedom system by Taylor matrix method

Kurt N., Cevik M.

MECHANICS RESEARCH COMMUNICATIONS, vol.35, no.8, pp.530-536, 2008 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 8
  • Publication Date: 2008
  • Doi Number: 10.1016/j.mechrescom.2008.05.001
  • Journal Name: MECHANICS RESEARCH COMMUNICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.530-536
  • Keywords: vibration, spring-mass-damper system, Taylor polynomial matrix method
  • Dokuz Eylül University Affiliated: Yes

Abstract

Free vibration of a single degree of freedom system is a fundamental topic in mechanical vibrations. The present study introduces a novel and simple numerical method for the solution of this system in terms of Taylor polynomials in the matrix form. Particular and general solutions of the differential equation can be determined by this method. The method is illustrated by a numerical application and the results obtained are compared with those of the exact solution. (C) 2008 Elsevier Ltd. All rights reserved.