非線形復元力作用下の振動特性とカオス

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  • Study on Vibration Characteristics and Chaos under Nonlinear Restoring Force
  • ヒセンケイ フクゲンリョク サヨウ カ ノ シンドウ トクセイ ト カオス

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There are a lot of nonlinear phenomena in the world, and it is confirmed that the chaos is contained in the nonlinear vibration. In this study, the vibration model, which mechanical spring is set on pepnendicular to the moving direction, has been proposed. This model is described by mass, damping constant, nonlinear restoring force. The goveirning equation of this model is nonlinear, like Duffing equation. Numerical calculations were performed and the effect of km, which shows the strength of nonlinear elastic force, on the motion of system has been investigated by the bifurcation diagram, time series, Poincare map and power spectra.

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