A Dynamic Green Function Formulation for the Response of a Beam Structure to a Moving Mass

Author: Foda M.A.   Abduljabbar Z.  

Publisher: Academic Press

ISSN: 0022-460X

Source: Journal of Sound and Vibration, Vol.210, Iss.3, 1998-02, pp. : 295-306

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Abstract

A dynamic Green function approach is used to determine the response of a simply supported Bernoulli–Euler beam of finite length subject to a moving mass traversing its span. The proposed method produces a simple matrix expression for the deflection of the beam. The efficiency and simplicity of the method is demonstrated by several numerical examples. The effect of various parameters on the dynamic response is investigated.