元件类型
| 物理元件
| 微分方程
| 能量E或功率P
|
|---|
感性储能元件
| 电感 | \({v_{21}} = L\frac{{di}}{{dt}}\) | \(E = \frac{1}{2}L{i^2}\) |
| 感性储能元件 | 平动弹簧 | \({v_{21}} = \frac{1}{k}\frac{{dF}}{{dt}}\) | \(E = \frac{1}{2}\frac{{{F^2}}}{k}\)
|
| 感性储能元件 | 旋转弹簧 | \({w_{21}} = \frac{1}{k}\frac{{dT}}{{dt}}\) | \(E = \frac{1}{2}\frac{{{T^2}}}{k}\)
|
| 感性储能元件 | 流体惯量 | \({P_{21}} = I\frac{{dQ}}{{dt}}\) | \(E = \frac{1}{2}I{Q^2}\)
|
容性储能元件
| 电容
| \(i = C\frac{{d{v_{21}}}}{{dt}}\) | \(E = \frac{1}{2}Cv_{21}^2\) |
| 容性储能元件 | 平动质量 | \(F = M\frac{{d{v_2}}}{{dt}}\) | \(E = \frac{1}{2}Mv_2^2\)
|
| 容性储能元件 | 旋转质量 | \(T = J\frac{{d{w_2}}}{{dt}}\) | \(E = \frac{1}{2}Jw_2^2\)
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| 容性储能元件 | 流体容量 | \(Q = {C_f}\frac{{d{P_{21}}}}{{dt}}\) | \(E = \frac{1}{2}{C_f}P_{21}^2\)
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| 容性储能元件 | 热容量 | \(q = {C_t}\frac{{d{J_2}}}{{dt}}\) | \(E = {C_t}{J_2}\)
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耗能型元件
| 电阻
| \(i = \frac{1}{R}{v_{21}}\) | \(P = \frac{1}{R}v_{21}^2\) |
| 耗能型元件 | 平动阻尼器 | \(F = {\rm{b}}{v_{21}}\) | \(P = bv_{21}^2\)
|
| 耗能型元件 | 旋转阻尼器 | \(T = {\rm{b}}{w_{21}}\) | \(P = bw_{21}^2\)
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| 耗能型元件 | 流阻 | \(Q = \frac{1}{{{R_f}}}{P_{21}}\) | \(P = \frac{1}{{{R_f}}}P_{21}^2\)
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| 耗能型元件 | 热阻 | \(q = \frac{1}{{{R_f}}}{J_{21}}\) | \(P = \frac{1}{{{R_f}}}{J_{21}}\)
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