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Exact solutions of the problem of the vibro-impact oscillations of a discrete system with two degrees of freedom. (English. Russian original) Zbl 0946.70017

J. Appl. Math. Mech. 63, No. 4, 527-530 (1999); translation from Prikl. Mat. Mekh. 63, No. 4, 549-553 (1999).
The paper deals with two equal masses connected by a linear elastic spring of small stiffness. It is assumed that the oscillations occur between absolutely rigid walls. The authors discuss possible vibro-impact regimes.

MSC:

70K40 Forced motions for nonlinear problems in mechanics
70J99 Linear vibration theory
70J50 Systems arising from the discretization of structural vibration problems
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References:

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[10] Vedenova, Ye.G.; Manevich, L. I.; Pilipchuk, V. N.: The normal vibrations of a string with concentrated masses on non-linearly elastic supports. Prikl. mat. Mekh. 49, No. 2, 203-211 (1985)
[11] Manevich, L. I.; Mikhlin, Yu.V.; Pilipchuk, V. N.: The method of normal modes foressentially non-linearsystems. (1989)
[12] VAKAKIS, A. E, MANEVITCH, L. I., MIKHLIN, Yu. V, PILIPCHUK. V N. and ZEVIN. A. A., Normal Modes and Localization in Nonlinear Systems. · Zbl 0917.93001
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