✦ LIBER ✦

FORCED OSCILLATIONS AND RESONANCE OF INFINITE PERIODIC STRINGS

✍ Scribed by P.M. Belotserkovskiy

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 235 KB
Volume: 204
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1997.0918

No coin nor oath required. For personal study only.

✦ Synopsis

An infinite string, supported by the equidistantly spaced identical suspensions, is considered. Each suspension consists of a spring and a dashpot with viscous damping, in parallel. The small transverse oscillations of the string are affected by the viscous drag of an external medium. The concentrated harmonic force, moving steadily along the string, causes steady-state oscillations. This means that the displacement along the string across the suspension spacing brings the time delay and the phase lead in the string's transverse deflection. The former is equal to the time of the exciting force motion over the spacing. The latter is equal to the change of the exciting force phase over this time. The steady-state nature of the oscillations and the linear property of the infinite periodic structure allows one to consider just one segment of the string between the neighbouring suspensions.

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