Three damping models for National Conference on Theoretical and Applied Mechanics (2016)


  Viscous damping New hysteretic damping  Coulomb damping
The mechanical model
The mathematical model

for free vibration

The amplitude decay Exponential decay

Geometric decay

Linear decay

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)

initial state =(-5, 3.53)

initial state=(-5, 3)

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)