Non-linear vibrations of a beam-mass system with both ends clamped


Özkaya E., Pakdemirli M.

Journal of Sound and Vibration, cilt.221, sa.3, ss.491-503, 1999 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 221 Sayı: 3
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1006/jsvi.1998.2003
  • Dergi Adı: Journal of Sound and Vibration
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.491-503
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

A clamped-clamped beam-mass system is considered. The non-linear equations of motion including stretching due to immovable end conditions were derived previously [1] (Özkaya et al. 1997 Journal of Sound and Vibration 199, 679-696). In addition to five different end conditions considered in reference [1], the case of clamped-clamped edge conditions is treated in this work. Exact solutions for the mode shapes and frequencies are given for the linear part of the problem. For the non-linear problem, approximate solutions using perturbations are searched. Alternatively, the natural frequencies and non-linear corrections are used in training a multi-layer, feed-forward, back propagation artificial neural network (ANN) algorithm. Using the algorithm, the numerical calculations are drastically reduced for obtaining the natural frequencies and non-linear corrections corresponding to different input parameters. © 1999 Academic Press.