An Efficient Analytical Method for Vibration Analysis of a Beam on Elastic Foundation with Elastically Restrained Ends

Yayli M. Ö., Aras M., Aksoy S.

SHOCK AND VIBRATION, cilt.2014, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2014
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1155/2014/159213
  • Dergi Adı: SHOCK AND VIBRATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

An efficient analytical method for vibration analysis of a Euler-Bernoulli beamon elastic foundation with elastically restrained ends has been reported. A Fourier sine series with Stoke's transformation is used to obtain the vibration response. The general frequency determinant is developed on the basis of the analytical solution of the governing differential equation for all potential solution cases with rigid or restrained boundary conditions. Numerical analyses are performed to investigate the effects of various parameters, such as the springs at the boundaries to examine how the elastic foundation parameters affect the vibration frequencies.