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Journal ArticleDOI

Dynamic behaviour of beams and rectangular plates under moving loads

J.A. Gbadeyan, +1 more
- 18 May 1995 - 
- Vol. 182, Iss: 5, pp 677-695
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TLDR
In this article, a theory concerning the dynamic response of finite elastic structures (Rayleigh beams and plates) having arbitrary end supports and under an arbitrary number of moving masses is developed, which is based on modified generalized finite integral transforms and the modified Struble's method.
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This article is published in Journal of Sound and Vibration.The article was published on 1995-05-18. It has received 115 citations till now. The article focuses on the topics: Moving load & Numerical analysis.

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Journal ArticleDOI

Linear Dynamics of an Elastic Beam Under Moving Loads

TL;DR: In this article, the dynamic response of an Euler-Bernoulli beam under moving loads is studied by mode superposition and the inertial effects of the moving load are included in the analysis.
Journal ArticleDOI

Free vibrations of simply-supported beam bridges under moving loads: Maximum resonance, cancellation and resonant vertical acceleration

TL;DR: In this article, a closed-form expression for the cancellation speed of simply supported bridges is given for the most representative points of maximum amplitude, where the free vibrations generated by each load can possibly accumulate and create resonance phenomena.
Journal ArticleDOI

On the dynamic response of rectangular plate, with moving mass

TL;DR: In this paper, the dynamics of plates under influence of relatively large masses, moving along an arbitrary trajectory on the plate surface is considered, and a method consists of transformation of the governing equation into a series of eigenfunctions, which satisfy the boundary conditions of the plate.
Journal ArticleDOI

Dynamic response of a functionally graded Timoshenko beam on two-parameter elastic foundations due to a variable velocity moving mass

TL;DR: In this article, a modified finite element method (FEM) was used to analyze the transverse vibrations of a Timoshenko beam, made of functionally graded materials (FGMs), on a two-parameter foundation and subjected to a variable-velocity moving mass.
Journal ArticleDOI

On asymptotics of the solution of the moving oscillator problem

TL;DR: In this article, it was shown that the moving oscillator problem for a simply supported beam is not equivalent, in a strict sense, to the moving mass problem, and that the two problems are equivalent in terms of the beam displacements but are not equivalent to stresses (the higher order derivatives of the two solutions differ).