damping

(noun)

the reduction in the magnitude of oscillations by the dissipation of energy

Related Terms

  • harmonic oscillator

Examples of damping in the following topics:

  • Applications of Second-Order Differential Equations

    • In real oscillators, friction (or damping) slows the motion of the system.
    • In many vibrating systems the frictional force $Ff$ can be modeled as being proportional to the velocity v of the object: $Ff = −cv$, where $c$ is called the viscous damping coefficient.
    • Driven harmonic oscillator: Driven harmonic oscillators are damped oscillators further affected by an externally applied force $F(t)$.
    • A solution of damped harmonic oscillator.
    • Curves in different colors show various responses depending on the damping ratio.
  • Second-Order Linear Equations

    • A simple pendulum, under the conditions of no damping and small amplitude, is described by a equation of motion which is a second-order linear differential equation.
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