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Transient vibration of linear multi-degree-of-freedom systems by the phase-plane method

✍ Scribed by R.S. Ayre

Publisher: Elsevier Science
Year: 1952
Tongue: English
Weight: 557 KB
Volume: 253
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(52)90385-2

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✦ Synopsis

This paper shows the application of phase-plane graphical methods to transient forced vibrations of undamped, linear systems having more than one degree of freedom. Lumped parameter as well as distributed parameter systems are included. An introductory application to a single-degree-of-freedom system is followed by examples relating (I) to the two-degree-of-freedom two-mass system, (2) to the two-degree-offreedom single-mass system with inertia coupling, and (3) to a simply supported uniform beam. The essential feature is the independent application of the phaseplane method to each normal coordinate of a system.

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