Vibration of a variable cross-section beam

ECE M. C., AYDOĞDU M., TAŞKIN V.

Mechanics Research Communications, cilt.34, sa.1, ss.78-84, 2007 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.mechrescom.2006.06.005
  • Dergi Adı: Mechanics Research Communications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.78-84
  • Anahtar Kelimeler: Analytical solution, Beam, Variable cross-section, Vibration
  • Trakya Üniversitesi Adresli: Evet

Özet

Vibration of an isotropic beam which has a variable cross-section is investigated. Governing equation is reduced to an ordinary differential equation in spatial coordinate for a family of cross-section geometries with exponentially varying width. Analytical solutions of the vibration of the beam are obtained for three different types of boundary conditions associated with simply supported, clamped and free ends. Natural frequencies and mode shapes are determined for each set of boundary conditions. Results show that the non-uniformity in the cross-section influences the natural frequencies and the mode shapes. Amplitude of vibrations is increased for widening beams while it is decreased for narrowing beams. © 2006 Elsevier Ltd. All rights reserved.