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Article

Vibrations of a Simply Supported Beam with a Non–Ideal Support at an Intermediate Point

Department of Mechanical Engineering, Celai Bayar University, 45140 Muradiye, Manisa, Turkey
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Author to whom correspondence should be addressed.
Math. Comput. Appl. 2003, 8(2), 159-164; https://doi.org/10.3390/mca8020159
Published: 1 August 2003

Abstract

A simply supported Euler-Bernoulli beam with an intermediate support is considered. The concept of non-ideal boundary conditions is applied to the beam problem. In accordance, the intermediate support is assumed to allow small deflections. Approximate analytical solution of the problem is found using the Method of Multiple Scales, a perturbation techniques. Ideal and non-ideal frequency response curves are contrasted.
Keywords: nonlinear beam vibrations; non-ideal boundary conditions; perturbation methods nonlinear beam vibrations; non-ideal boundary conditions; perturbation methods

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MDPI and ACS Style

Pakdemirli, M.; Boyaci, H. Vibrations of a Simply Supported Beam with a Non–Ideal Support at an Intermediate Point. Math. Comput. Appl. 2003, 8, 159-164. https://doi.org/10.3390/mca8020159

AMA Style

Pakdemirli M, Boyaci H. Vibrations of a Simply Supported Beam with a Non–Ideal Support at an Intermediate Point. Mathematical and Computational Applications. 2003; 8(2):159-164. https://doi.org/10.3390/mca8020159

Chicago/Turabian Style

Pakdemirli, M., and H. Boyaci. 2003. "Vibrations of a Simply Supported Beam with a Non–Ideal Support at an Intermediate Point" Mathematical and Computational Applications 8, no. 2: 159-164. https://doi.org/10.3390/mca8020159

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