An innovative eigenvalue problem solver for free vibration of Euler–Bernoulli beam by using the Adomian decomposition method
نویسندگان
چکیده
منابع مشابه
Free Vibration Analysis of Uniform Beams with Arbitrary Number of Cracks by using Adomian Decomposition Method
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 correspondin...
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The vibration problems of uniform and nonuniform Euler-Bernoulli beams have been solved analytically or approximately [1-5] for various end conditions. In order to calculate fundamental natural frequencies and related mode shapes, well known variational techniques such as Rayleigh_Ritz and Galerkin methods have been applied in the past. Besides these techniques, some discretized numerical metho...
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In this paper the possibility of application of the Adomian decomposition method for solving the moving boundary problem is presented. As an example of the moving boundary problem we consider a one-phase Stefan problem with Neumann’s boundary condition. This problem consists of finding the distribution of temperature in the domain and position of the moving interface. The validity of the approa...
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In this study, the small scale effect on the linear free-field vibration of a nano-circular plate has been investigated using nonlocal elasticity theory. The formulation is based on the classical theory and the linear strain in cylindrical coordinates. To take into account the small scale and the linear geometric effects, the governing differential equation based on the nonlocal elasticity theo...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2008
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2008.07.029