Linear transverse vibrations of a simply supported beam carrying concentrated masses

Özkaya E.

Mathematical and Computational Applications, vol.6, no.2, pp.147-151, 2001 (Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 2
  • Publication Date: 2001
  • Doi Number: 10.3390/mca6020147
  • Journal Name: Mathematical and Computational Applications
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.147-151
  • Keywords: Beam - mass systems, Linear vibration, Natural frequency
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

Linear transverse vibrations of an Euler-Bernoulli beam are considered. The beam carries masses and is simply supported at both ends. The equations of motion are obtained and solved. Linear frequency equations are obtained. Natural frequencies are calculated for different number of masses, mass ratios, and mass locations.