𝔖 Bobbio Scriptorium
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A NON-LINEAR MOVING MASS PROBLEM

✍ Scribed by X. Xu; W. Xu; J. Genin

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
181 KB
Volume
204
Category
Article
ISSN
0022-460X

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✦ Synopsis

The longitudinal and transverse motions of a finite elastic beam traversed by a moving mass are presented. Using Hamilton's principle, two non-linear coupled differential equations governing the transverse and longitudinal displacements of the beam are developed. A finite difference method combined with a perturbation technique is used to solve the resulting boundary value problem. The results show the differences between the moving force and moving mass problems for the dynamic system. The effect of the friction force between the mass and beam on the longitudinal motion is shown to be significant.

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