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弹簧阻尼系统

弹簧阻尼系统. 如图为一弹簧阻尼系统，当外力 F (t) 作用于系统时，系统将产生运动。试列写外力 F (t) 与位移 y (t) 之间的微分方程。. 解 弹簧和阻尼器有相应的弹簧阻力 F 1 (t) 和粘性摩擦阻力 F 2 (t) ，根据牛顿第二定律有 ：. 其中 F 1 (t) 和 F 2 (t) 可由弹簧、阻尼器特性写出. 式中 k —— 弹簧系数 f —— 阻尼系数. 整理且标准化. 令. 称为时间常数. 称为阻尼比. 称为放大系数.

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弹簧阻尼系统

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  1. 弹簧阻尼系统

  2. 如图为一弹簧阻尼系统，当外力F(t)作用于系统时，系统将产生运动。试列写外力F(t)与位移y(t)之间的微分方程。

  3. 解 弹簧和阻尼器有相应的弹簧阻力F1(t)和粘性摩擦阻力F2(t)，根据牛顿第二定律有 ： 其中F1(t)和F2(t)可由弹簧、阻尼器特性写出 式中 k —— 弹簧系数 f —— 阻尼系数

  4. 整理且标准化 令 称为时间常数 称为阻尼比 称为放大系数

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