Forced vibration of Euler–Bernoulli beams by means of dynamic Green functions

• Published in: Journal of sound and vibration Vol. 267; no. 2; pp. 191 - 207
• Main Author: Abu-Hilal, M.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 16-10-2003; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Bernouilli Euler model; Elastic support; Vibration damping; Forced vibration; Multiple support; Green function; Modeling; Beam(mechanics); Structural analysis; Exact solution
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/S0022-460X(03)00178-0

A method for determining the dynamic response of prismatic damped Euler–Bernoulli beams subjected to distributed and concentrated loads is presented. The method yields exact solutions in closed form and may be used for single and multi-span beams, single and multi-loaded beams, and statically determinate and indeterminate beams. Also Green functions for various beams with different homogenous and elastic boundary conditions are given. In order to demonstrate the use of the Green functions method, several examples are given. Some of the obtained results are compared with those given in the references.