Moving load on a flexibly supported Timoshenko beam

J. D. Achenbach; C. T. Sun

doi:10.1016/0020-7683(65)90001-6

Moving load on a flexibly supported Timoshenko beam

J. D. Achenbach^*, C. T. Sun

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

92 Scopus citations

Abstract

A uniform beam of infinite length is subjected to a force whose point of application moves with constant velocity over the beam. Solutions are obtained that are time invariant in a coordinate system moving with the load velocity. The supporting foundation includes damping effects. The influence of the damping coefficient and the load velocity on the beam response is studied. The limiting case of no damping is included and the various resonance effects are clarified.

Original language	English (US)
Pages (from-to)	353-370
Number of pages	18
Journal	International Journal of Solids and Structures
Volume	1
Issue number	4
DOIs	https://doi.org/10.1016/0020-7683(65)90001-6
State	Published - Nov 1965

ASJC Scopus subject areas

Modeling and Simulation
Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/0020-7683(65)90001-6

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title = "Moving load on a flexibly supported Timoshenko beam",

abstract = "A uniform beam of infinite length is subjected to a force whose point of application moves with constant velocity over the beam. Solutions are obtained that are time invariant in a coordinate system moving with the load velocity. The supporting foundation includes damping effects. The influence of the damping coefficient and the load velocity on the beam response is studied. The limiting case of no damping is included and the various resonance effects are clarified.",

author = "Achenbach, {J. D.} and Sun, {C. T.}",

note = "Funding Information: Acknowledgement-~ The results presented in this paper were obtained in the course of research sponsored by the Air Force Office of Scientific Research under Grant AF-AFOSR-IOO-64. The authors are grateful to Professor George Herrmann for suggesting the problem.",

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AU - Achenbach, J. D.

AU - Sun, C. T.

N1 - Funding Information: Acknowledgement-~ The results presented in this paper were obtained in the course of research sponsored by the Air Force Office of Scientific Research under Grant AF-AFOSR-IOO-64. The authors are grateful to Professor George Herrmann for suggesting the problem.

PY - 1965/11

Y1 - 1965/11

N2 - A uniform beam of infinite length is subjected to a force whose point of application moves with constant velocity over the beam. Solutions are obtained that are time invariant in a coordinate system moving with the load velocity. The supporting foundation includes damping effects. The influence of the damping coefficient and the load velocity on the beam response is studied. The limiting case of no damping is included and the various resonance effects are clarified.

AB - A uniform beam of infinite length is subjected to a force whose point of application moves with constant velocity over the beam. Solutions are obtained that are time invariant in a coordinate system moving with the load velocity. The supporting foundation includes damping effects. The influence of the damping coefficient and the load velocity on the beam response is studied. The limiting case of no damping is included and the various resonance effects are clarified.

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JF - International Journal of Solids and Structures

SN - 0020-7683

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ER -

Moving load on a flexibly supported Timoshenko beam

Abstract

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