自由自励系の摩擦による振動 II  断片線形近似と最大静止摩擦力が孤立点となる場合の影響

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  • Free oscillations in a self-sustained system with solid friction. (2nd report. Analytical method by piecewise linear approximation and effect of maximum static friction different from kinetic friction without slipping).
  • ジユウ ジレイケイ ノ マサツ ニ ヨル シンドウ 2 ダンペン センケイ キ

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Following the previous report, the frictional vibrations in a mechanical driving system were treated theoretically in the case of Fs (maximum static friction) different from Fd (kinetic friction without slipping). Friction-velocity characteristic curves were approximated by a polygon having numerous segments and the analytical method was shown for the solutions of steady-state vibrations which occurred in such a piecewise linear system. Lastly, when the friction-velocity curves were of types [A] (a cubic function), [B] (a quintic function) and [C] (combined function of a straight line and a hyperbolic curve) . which were already used in calculation examples in the previous report, except for the condition of Fs≠Fd, the curves of displacement-amplitudes and periods of limit cycles in such a system were obtained versus the speed of a moving surface on which a sliding block was lying.

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