Title: An Approach for Analyzing Free Vibration Characteristics of Timoshenko Cantilever Beams
Abstract: This paper discussed a method of modal perturbation to analyze the characteristics of free vibration of Timoshenko cantilever beams. The Timoshenko beam is a kind of popular beam at present. Since the equation of the Timoshenko beam is very complex, the analytic form of its solution is obtained difficultly. In this method, the equation of Timoshenko beam can be transferred as a set of nonlinear algebraic equations. This method can predigest the process of calculation and the result of calculation also owns good precision, it is applicable to Timoshenko beams with any arbitrary boundaries. The effect of the shear distortion and the moment of inertia on the natural frequency of Timoshenko cantilever beams is discussed from several numerical examples.
Publication Year: 2004
Publication Date: 2004-01-01
Language: en
Type: article
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