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Approximate evaluation of integrals

Published online by Cambridge University Press:  17 February 2009

Roger J. Hosking
Roger J. Hosking
Affiliation:
Department of Mathematics, Universiti Brunei Darussalam, Gadong BE1410, Brunei.
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Abstract

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Asymptotic and numerical analysis provides essential insight into the behaviour of Fourier integral solutions for the deflexion of an infinite continuously-supported flexible plate due to moving load. Thus we can define in detail how the plate deflexion depends upon the load speed, including (a) the wave patterns generated by a load moving steadily at various supercritical speeds; and (b) the time-dependent behaviour of the deflexion due to an impulsively-started load, where the two-dimensional response tends to a steady state except at the critical speed, when it grows continuously with time (in the absence of dissipation).

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 1 , July 2000 , pp. 110 - 118
Copyright
Copyright © Australian Mathematical Society 2000

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