| Viscous damping | New hysteretic damping | Coulomb damping | ||||
| The mechanical model |
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The mathematical model
for free vibration |
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| The amplitude decay |
Exponential decay
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Geometric decay
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Linear decay
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| Trajectories in the phase plane with various initial states by the Mathmatica | ||||||
| The damping coefficient | 𝜉>1 (𝜉=1.5) | 影片 | η>1 (η=1.5) | 影片 | a (a=2) | 影片 |
| 𝜉=1 | 影片 | η=1 | 影片 | |||
| 𝜉<1 (𝜉=0.3) | 影片 | η<1 (η=0.3) | 影片 | |||
| The mechanical model, the displacement history, the velocity history and the trajectories in the phaseby the Mathmatica | ||||||
| The damping coefficient | 𝜉>1 (𝜉=1.5) | initial state=(5, 0) | η>1 (η=1.5) | initial state=(-5, 5) | a (a=2) | initial state=(18, 0) |
| 𝜉=1 | initial state=(5, 0) | η=1 | initial state=(-5, 5) | |||
| 𝜉<1 (𝜉=0.3) | initial state=(5, 0) | η<1 (η=0.3) | initial state=(5, 0) | |||
