Dynamic analysis of a Bernoulli-Euler beam via the Laplace transformation technique
In this paper the dynamic analysis of a simply supported Bernoulli-Euler beam subjected to a distributed load was investigated. The simplified form of the mathematical expression defining the dynamic displacement of the beam was formulated using the variational Indicator of the Hamiltonian principle. The method of Integral Transformation was used to obtain the series solution for the governing equation. The effect of the various beam parameters on dynamic deflection profile of the beam was simulated, it was observed that the contribution is mainly done by the first mode and higher modes of vibration can be neglected.
Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 203-210