Vibration of Beams

M. Abu-Hilal's picture

Free Transverse Vibrations of A Triple-Beam System

Journal Title, Volume, Page: 
Journal of Mechanical Engineering 58,30-50
Year of Publication: 
Mohammed Abu-Hilal
Jazan College of Technology, Jazan, P. O. Box 1210, Saudi Arabia
Current Affiliation: 
Department of Mechanical Engineering, Faculty of Engineering, An-Najah National University, P.O. Box 7, Nablus, West Bank, Palestine
Nabil Beithou
Department of Mechanical and Industrial Engineering, Applied Science Private University, Amman 11931, Jordan
Preferred Abstract (Original): 

In this paper, the free vibration of an undamped triple-beam system on elastic foundation is analysed. The system consists of three Euler-Bernoulli beams of the same length that are arranged in parallel and continuously connected by elastic layers. The natural frequencies and the mode shapes of the system are determined. Furthermore, the initial value problem is solved to find the time-dependent free vibrations of the beams. Using a numerical example, the effects of the layer stiffnesses and those of the masses of the beams per unit length on the natural frequencies and the mode shapes are investigated in detail.

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