On a superposition method for the approximate determination of the eigenfrequencies of nonlinear conservative oscillators

Mueller P. C., Guergoeze M.

JOURNAL OF SOUND AND VIBRATION, cilt.305, ss.925-930, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 305
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.jsv.2007.04.052
  • Dergi Adı: JOURNAL OF SOUND AND VIBRATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.925-930
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

Recently, Hu [A note on the frequency of nonlinear conservative oscillators, Journal of Sound and Vibration 286 (2005) 653-662] presented a superposition method for the approximate determination of frequencies of conservative oscillators when the nonlinear restoring force consists of a superposition of several individual characteristics. In this contribution, it is shown that the conjecture of Hu is not true in general, particularly for underlinear systems. Only for overlinear systems are there plausible reasons for the validity of the conjecture, but even for this case one has to use caution. (c) 2007 Elsevier Ltd. All rights reserved.