✦ LIBER ✦

VALIDITY OF THE MULTIPLE-SCALE SOLUTION FOR A SUBHARMONIC RESONANCE RESPONSE OF A BAR WITH A NON-LINEAR BOUNDARY CONDITION

✍ Scribed by W.K. Lee; M.H. Yeo; S.S. Bae

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 167 KB
Volume: 208
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1997.1187

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✦ Synopsis

In order to examine the validity of an asymptotic solution obtained from the method of multiple scales, we investigate a third order subharmonic resonance response of a bar constrained by a non-linear spring to a harmonic excitation. The motion of the bar is governed by a linear partial differential equation with a non-linear boundary condition. The non-linear boundary and initial value problem is solved by using the finite difference method. The numerical solution is compared with the asymptotic solution.

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