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 İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 305
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.jsv.2007.04.052
  • Dergi Adı: JOURNAL OF SOUND AND VIBRATION
  • Sayfa Sayıları: ss.925-930

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.