Non-linear vibrations of a simple-simple beam with a non-ideal support in between

Pakdemirli M., Boyaci H.

Journal of Sound and Vibration, cilt.268, sa.2, ss.331-341, 2003 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 268 Sayı: 2
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0022-460x(03)00363-8
  • Dergi Adı: Journal of Sound and Vibration
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.331-341
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

A simply supported Euler-Bernoulli beam with an intermediate support is considered. Non-linear terms due to immovable end conditions leading to stretching of the beam are included in the equations of motion. The concept of non-ideal boundary conditions is applied to the beam problem. In accordance, the intermediate support is assumed to allow small deflections. An approximate analytical solution of the problem is found using the method of multiple scales, a perturbation technique. Ideal and non-ideal frequencies as well as frequency-response curves are contrasted.