BEAM VIBRATIONS WITH NON-IDEAL BOUNDARY CONDITIONS
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A simply supported damped Euler-Bernoulli beam with immovable end conditions is considered. The concept of non-ideal boundary conditions is applied to the beam problem. In accordance, the boundaries are assumed to allow small deflections and moments. Approximate analytical solution of the problem is found using the method of multiple scales, a perturbation technique.
KeywordsMultiple Scale Mode Number Perturbation Technique External Excitation Approximate Analytical Solution
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- Nayfeh A. H. (1981) Introduction to Perturbation Techniques, New York.Google Scholar