Abstract
A problem on oscillations of a multimass system (MS) is considered on an elastic half space with a cylindrical cavity. Equations of motions of an MS are given, which are modeled by masses that are connected by springs and dampers. A motion of the half space with a cavity is characterized by a transmitting function,which is known from a solution of a contact problem with vertical oscillations of a die on the half space given. The conditions of interrelation of the MS with the base close the system of algebraic linear equations for determining amplitudes of oscillations of each element of the MS.
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References
V. A. Il'ichev, “Dynamic action of constructions with the base and transmission of oscillations via the soil,” Dynamic analysis of constructions with respect to special actions: Sprav. Proektirovshchika. Stroiizdat, Moscow (1981), pp. 114–128.
I. M. Borodachev, “Dynamic contact problem for a die with a plane circular base that is lying on an elastic half space,” Izv. AN SSSR, Mekhanika i Mashinostroenie, No. 2, 82–90 (1964).
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Translated from Dinamicheskie Sistemy, No. 7, pp. 13–18, 1988.
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Snitser, A.R. Vertical oscillations of multimass system on elastic half space with a cylindrical cavity. J Math Sci 65, 1499–1502 (1993). https://doi.org/10.1007/BF01097651
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DOI: https://doi.org/10.1007/BF01097651