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Dynamic Response of Clamped-Clamped Elastic Beam on a Variable Pasternak Foundation with Damping Term

Atiti, S. Ehidiame, Momoh, S. Omeiza (PhD), Edogbanya, O. Helen (PhD) and Gyegwe, M. Jessica (PhD)

Abstract

Dynamic responses of clamped-clamped uniform Bernoulli–Euler beam resting on a variable Pasternak foundation under the action of a concentrated moving load with a damping term, was investigated in this paper. To solve the governing equation, the Dirac delta function was expressed as a Fourier cosine series and the Galerkin method, the Struble’s asymptotic technique and the Laplace transform method were used. The transverse displacement of the clamped-clamped beam was presented in graphs for several values of the parameters. From the findings, the moving force problem is structurally unsafe to approximate the moving mass problem in the design of the dynamical system. Furthermore, as the values of the parameters increases, the displacement of the uniform Bernoulli-Euler beam decreases with that of the damping term, more noticeable. This implies that the beam’s functional performance is enhanced when the values of each parameter is increased.

Keywords

Clamped-clampedElastic beamDamping termVariable Pasternak Foundation

References

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