Free Vibration Analysis of Uniform Beams with Arbitrary Number of Cracks by using Adomian Decomposition Method
نویسنده
چکیده
The Adomian Decomposition Method (ADM) is employed in this paper to investigate the free vibrations of the uniform cracked Euler-Bernoulli beams. The proposed ADM method can be used to analyze the vibration of beams consisting of an arbitrary number of cracks through a recursive way. Based on the ADM and employing some simple mathematical operations, the natural frequencies and the corresponding closed-form series solution of the mode shapes can be obtained by solving a set of algebraic equations with only three unknown parameters. Several numerical examples are presented to demonstrate the feasibility of the proposed method. It is shown that the ADM offers an accurate and effective method of free vibration analysis of beams with arbitrary number of cracks under general boundary conditions.
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Vibration Analysis of Cracked Beams Using Adomian Decomposition Method and Non-Baseline Damage Detection via High-Pass Filters
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