What is Damped: Definition and 382 Discussions

Damping is an influence within or upon an oscillatory system that has the effect of reducing or preventing its oscillation. In physical systems, damping is produced by processes that dissipate the energy stored in the oscillation. Examples include viscous drag (a liquid's viscosity can hinder an oscillatory system, causing it to slow down) in mechanical systems, resistance in electronic oscillators, and absorption and scattering of light in optical oscillators. Damping not based on energy loss can be important in other oscillating systems such as those that occur in biological systems and bikes (ex. Suspension (mechanics)). Not to be confused with friction, which is a dissipative force acting on a system. Friction can cause or be a factor of damping.
The damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance. Many systems exhibit oscillatory behavior when they are disturbed from their position of static equilibrium. A mass suspended from a spring, for example, might, if pulled and released, bounce up and down. On each bounce, the system tends to return to its equilibrium position, but overshoots it. Sometimes losses (e.g. frictional) damp the system and can cause the oscillations to gradually decay in amplitude towards zero or attenuate. The damping ratio is a measure describing how rapidly the oscillations decay from one bounce to the next.
The damping ratio is a system parameter, denoted by ζ (zeta), that can vary from undamped (ζ = 0), underdamped (ζ < 1) through critically damped (ζ = 1) to overdamped (ζ > 1).
The behaviour of oscillating systems is often of interest in a diverse range of disciplines that include control engineering, chemical engineering, mechanical engineering, structural engineering, and electrical engineering. The physical quantity that is oscillating varies greatly, and could be the swaying of a tall building in the wind, or the speed of an electric motor, but a normalised, or non-dimensionalised approach can be convenient in describing common aspects of behavior.

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  1. H

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  2. A

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  3. A

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  4. S

    Damped Wave equation, PDE.

    Homework Statement I have the damped wave equation; u_{tt} = 4 u_{xx} -2 u_{t} which is to be solved on region 0 < x < 2 with boundary conditions; u(0,t) = 2, u(2,t) = 1. i must; 1) find steady state solution u_{steady}(x) and apply boundary conditions. 2) find \theta(x,t)...
  5. J

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  6. S

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  7. A

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  8. K

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  9. I

    How to Approach Solving a 2D Damped Wave Equation?

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  10. L

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  11. U

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  12. M

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  13. T

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    Two simple pendulums with the same length L but different masses, m1 and m2=2*m1, are set swinging at the same time with the same initial amplitude. Both pendulums are damped by the same force, Fdamp=-\gammas(dot). Eventually, the amplitude of the lighter pendulum decreases to half its initial...
  14. M

    Comp Sci C++ code; unforced damped oscillator

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  15. Z

    Resonance Frequency of a Damped Oscillator

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  16. O

    Resistive Force (of a damped oscillator: what is it?)

    Homework Statement Consider a damped oscillator, with natural frequency \omega_{o} and damping constant B, both fixed, that is driven by force F(t) = F_{o}cos(\omegat). Verify that the average rate at which energy is lost to the resistive force is mB\omega^2A^2. Homework Equations x =...
  17. G

    What is the optimal frequency for a forced damped oscillator?

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  18. Z

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  19. V

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  20. K

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  21. Q

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    the formula for damped oscillations is given as x = Ae^(-bt/2m) cos(ωt+Φ) so why is the amplitude as a function of time given as only the first part? meaning only A(t) = Ae^(-bt/2m) it "ignores" the 2nd term which is the oscillating cosine term. which still encompass a time t value...
  22. M

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  23. S

    Damped Harmonic Motion: Find Ratio & Periods for Decay

    Homework Statement A damped harmonic oscillator has mass m , spring constant k , damping force - cv . (a) Find the ratio of two successive maxima of the oscillations. (b) If the oscillator has Q = 100 , how many periods will it take for the amplitude to decay to 1/ e of it’s initial...
  24. E

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  25. M

    Question Involving Damped Harmonic Oscillators and Periods

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  26. S

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  27. E

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  28. S

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  29. I

    How Long Does It Take for a Damped Oscillator's Energy to Halve?

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  30. I_am_learning

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  31. R

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  32. Spinnor

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  34. F

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  35. N

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  36. I

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  37. J

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  38. D

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  39. Z

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  40. A

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  41. F

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  42. F

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  43. P

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  44. J

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  45. P

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  46. M

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  47. R

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  48. Q

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  49. B

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  50. E

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