Dynamics of a chain system of rigid bodies with gravity-friction seismic dampers: fixed supports |
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Authors: | N P Plakhtienko |
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Institution: | 1.S. P. Timoshenko Institute of Mechanics,National Academy of Sciences of Ukraine,Kyiv,Ukraine |
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Abstract: | 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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Keywords: | |
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