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並列摘要


With vibration isolation of buildings and turbomachinery blades in mind, we study the dynamic behavior of a single-mass two-degree-of-freedom oscillator with Coulomb friction slider, viscous damper and elastic spring in parallel. We formulate a multi-dimensional friction model, from which the sliding conditions and the sticking conditions of the mass are derived. For calculations we develop a group preserving algorithm, which is stabler, more accurate, and more efficient than other numerical schemes because the new algorithm preserves the internal symmetry PSO(subscript o)(2, 1) of the model in the sliding phase so as to satisfy automatically the sliding conditions at each time step without iteration at all. As an illustrative example the oscillator is subjected to biaxial harmonic excitation, and the responses are displayed.

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