Damped Oscillations

Damping is the loss of energy of an oscillating system by dissipation, being an influence within or upon an oscillatory system that has the effect of reducing or preventing its oscillation.

Links:

1. Wikipedia — Damping

2. Wikipedia — Harmonic oscillator — Damped harmonic oscillator

Contents:

• Damped angular frequency via damping ratio
  • damped_angular_frequency
  • undamped_angular_frequency
  • damping_ratio
  • law
• Damped harmonic oscillator equation
  • time
  • displacement
  • undamped_angular_frequency
  • damping_ratio
  • law
• Damping ratio from decay constant and undamped frequency
  • damping_ratio
  • exponential_decay_constant
  • undamped_angular_frequency
  • law
• Displacement in critical damping
  • displacement
  • time
  • undamped_angular_frequency
  • initial_position
  • initial_speed
  • law
• Displacement in underdamping
  • displacement
  • time
  • scaling_coefficient
  • exponential_decay_constant
  • damped_angular_frequency
  • phase_shift
  • law
• Energy of underdamped oscillator
  • energy
  • mass
  • amplitude
  • undamped_angular_frequency
  • exponential_decay_constant
  • time
  • law