Animation of three damping models (2017)
Viscous damping | New hysteretic damping | Coulomb damping | |||||||
The mechanical model | |||||||||
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 | file(avi) | YouTube | file(avi) | YouTube | a (a=2) | file(avi) | YouTube | ||
𝜉>1 (𝜉=1.5) | video | video | η>1 (η=1.5) | video | video | video | video | ||
𝜉=1 | video | video | η=1 | video | video | ||||
𝜉<1 (𝜉=0.3) | video | video | η<1 (η=0.3) | video | video | ||||
The mechanical model, the displacement history, the velocity history and the trajectories in the phase plane by the Mathmatica | |||||||||
The damping coefficient | file(avi) | YouTube | file(avi) | YouTube | a (a=2) | file(avi) | YouTube | ||
𝜉>1 (𝜉=1.5) | initial state=(5, 0) | initial state=(5, 0) | η>1 (η=1.5) | initial state=(-5, 5) | initial state=(-5, 5) | initial state=(18, 0) | initial state=(18, 0) | ||
𝜉=1 | initial state=(5, 0) | initial state=(5, 0) | η=1 | initial state=(-5, 5) | initial state=(-5, 5) | ||||
𝜉<1 (𝜉=0.3) | initial state=(5, 0) | initial state=(5, 0) | η<1 (η=0.3) | initial state=(5, 0) | initial state=(5, 0) |
※the nature frequency
※ latest update:2017/12/8