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Dynamics of a chain system of rigid bodies with gravity-friction seismic dampers: fixed supports

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International Applied Mechanics Aims and scope

A design model for a chain system of N elastically linked rigid bodies with a spheroidal gravity-friction damper is proposed. The Lagrange–Painlevé equations of the first kind are used to construct nonlinear dynamical models of a mechanical system undergoing translational vibrations about the equilibrium position. The conditions under which the system moves in one plane are established. The double nonstationary phase–frequency resonance of a system with N = 2 is analyze. After the numerical integration of the systems of differential equations, the phase–frequency surfaces are plotted and examined for several combinations of system parameters under two-frequency loading

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine, 03057

    N. P. Plakhtienko

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  1. N. P. Plakhtienko
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Correspondence to N. P. Plakhtienko.

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Translated from Prikladnaya Mekhanika, Vol. 45, No. 7, pp. 117–130, July 2009.

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Plakhtienko, N.P. Dynamics of a chain system of rigid bodies with gravity-friction seismic dampers: fixed supports. Int Appl Mech 45, 786–796 (2009). https://doi.org/10.1007/s10778-009-0221-8

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  • DOI: https://doi.org/10.1007/s10778-009-0221-8

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