Applications of dual MRM for determining the natural frequencies and natural modes of an Euler–Bernoulli beam using the singular value decomposition method

Author:

Yeih W.,Chen J.T.,Chang C.M.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Engineering,Analysis

Reference19 articles.

1. Derivation of integral equations in elasticity;Hong;Journal of Engineering Mechanics, ASCE,1988

2. Chen JT, Hong H-K. Boundary element method, 2nd ed. Taipei: New World Press, 1992. (In Chinese).

3. Chen JT. On a dual integral representation and its applications to computational Mechanics. Ph.D. Dissertation. National Taiwan University: Department of Civil Engineering, 1994.

4. Boundary element analysis and design in seepage flow problems with sheetpiles;Chen;Finite Elements in Analysis and Design,1994

5. On the dual integral representation of boundary value problem in Laplace equation;Chen;Boundary Element Abstracts,1993

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1. Free vibration analysis of non-uniform Bernoulli beam by using Laplace Adomian decomposition method;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2022-03-27

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3. Chaotic dynamics of flexible Euler-Bernoulli beams;Chaos: An Interdisciplinary Journal of Nonlinear Science;2013-12

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