✦ LIBER ✦

FREE VIBRATION OF A STRING WITH MOVING BOUNDARY CONDITIONS BY THE METHOD OF DISTORTED IMAGES

✍ Scribed by Y.M. Ram; J. Caldwell

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 433 KB
Volume: 194
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1996.0342

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✦ Synopsis

The transverse vibrations of a string between two supports which are moving towards each other, each with a constant velocity v, are considered. The method of separation of variables cannot be applied to this problem. Therefore a method of distorted images is introduced. The initial conditions are extended over the full interval of dependence and the problem is solved by using the D'Alembert solution. A closed form algorithm which evaluates the dynamics of the string is given.

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