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

Kurt N., Cevik M.

MECHANICS RESEARCH COMMUNICATIONS, cilt.35, sa.8, ss.530-536, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 8
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.mechrescom.2008.05.001
  • Dergi Adı: MECHANICS RESEARCH COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.530-536
  • Anahtar Kelimeler: vibration, spring-mass-damper system, Taylor polynomial matrix method, APPROXIMATE SOLUTION, EQUATIONS
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.