Semi-Discrete Analytical Solution of Lumped Mass Finite Element Method for the Longitudinal Vibrations of an Elastic Bar

Jing Song Pan; Ji Chan Wang

doi:10.4028/www.scientific.net/AMM.273.234

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 273Semi-Discrete Analytical Solution of Lumped Mass...

Semi-Discrete Analytical Solution of Lumped Mass Finite Element Method for the Longitudinal Vibrations of an Elastic Bar

Abstract:

The objective of this paper is to present semi-discrete analytical method for the longitudinal vibration of an elastic bar. Using lumped mass finite element method, we first obtain a system of second order ordinary differential equations. In terms of some transform technique we obtain the exact solution to the system, i.e. excellently semi-discrete analytical approximation to the longitudinal vibration. An example is given to illustrate the effectiveness of the proposed method.

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Periodical:

Applied Mechanics and Materials (Volume 273)

Pages:

234-239

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.273.234

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Online since:

January 2013

Authors:

Jing Song Pan, Ji Chan Wang

Keywords:

Finite Element Method (FEM), Longitudinal Vibration, Semi-Discrete Analytical

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