What is Damping: Definition and 307 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. Z

    Effect of mass and springs on the damping of mass spring system

    If I have mass-spring system with certain damping factor, what is the expected reduction in the damping if the mass is reduced by 25% and the spring stiffness by 50%? It is clear that the damping will decrease but how much? can anyone helps me in that?
  2. F

    Harmonic motion whose damping is not related to velocity

    Homework Statement A block of mass m rests on a horizontal table and is attached to a spring of force constant k. The coefficient of friction between the block and the table is mu. For this problem we will assume that the coefficients of kinetic and static friction are equal. Let the...
  3. R

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    Hi All, I need some basic info of He closed cycle cryos..(like working principle, etc).. I have a compressor, which compress He gas and passed into a cryo's coldhead. So He gas expands in side the coldhead and cools the coldhead..then it again passes into compressor..so the cycle repeats.. I...
  4. Math Jeans

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    I've been somewhat curious about this for a little while: Is there a way to obstruct a magnetic field so that it is weaker in one area and stronger than another. I have attached a picture of what I'm kind of looking for, but also anything that could cause the same effect in terms of...
  5. H

    What is the value of the damping constant?

    Qn4. A damped harmonic oscillator involves a block of mass 2.0kg and a spring with a stiffness 10 N/m. The damping force is proportioanla to the velocity of the oscillator. Initially it osicillates with an amplitude of 25cm. Due to the damping, the amplitude fallsto three-fourth of this...
  6. H

    Pendulum, find the damping constant of the air.

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  7. P

    Understanding Critical Damping: Exploring SHM and the T/4 Period

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  8. L

    Critical damping provides the quickest approach to zero amplitude

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  9. A

    Experimenting with a Pendulum: Damping & Plotting Graphs

    I am doing an experiment on the pendulum, and i wanted to do something on the damping, i understand a little as i have done some reading on it, the picture attached show the working i have done, i have reached a second order DE and i know little about this. So my question is, can you plot a...
  10. M

    List of materials and their damping properties

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  11. D

    How Do Magnetic Damping Devices Prevent Metal Objects from Sticking to Magnets?

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  12. M

    Linear Damping Model: Help Solving Forces & Displacement Vector

    Hi All This is my first post and I was hoping that someone could help. I have the following attached question regarding a linear damping model (in this case a seismograph). (1) Draw a force diagram. If W=weight, R= air resistance, and H= spring force, then I get W pointing down and both...
  13. M

    Magnetic Damping: Solving with Faraday's Law

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  14. D

    Calculating Damping Coefficient for Spring Mass System | Prototype Home Kit

    Hello. I'm designing a simple prototype home kit for visualising the effects of vibration on various systems. In this case i have a simple spring mass system in compression that will have responses measured by varying initial displacements. As it stands the system will be unforced, and...
  15. T

    Finding the Damping Constant for a Hard-Boiled Egg on a Spring

    Homework Statement A hard-boiled egg of mass 51.0kg moves on the end of a spring with force constant 25.7N/m. Its initial displacement is 0.293m. A damping force f (x) = -bv (x) acts on the egg, and the amplitude of the motion decreases to 0.101m in a time of 4.55s. Calculate the...
  16. L

    Damping I made an assumption I am not sure is right

    I now I have several threads but I need help with them all and thanks to who ever gives their time. Homework Statement A damped harmonic oscillator consists of a block (m=2.00kg), a spring (k=10.0N/m), and a damping force (F=-bv). Initially, it oscillates with and amplitude of 25.0cm; because...
  17. G

    Pendulum Damping Force Calculation

    [SOLVED] Pendulum Damping Force Homework Statement I am attempting to find the damping force of my pendulum using Stokes' Law. However, I am having trouble finding the velocity of the spherical object to get this damping force. The radius of the sphere is 0.014m, the viscosity of air is 1.82...
  18. W

    How do I get the damping coefficient experimentally

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  19. K

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  20. F

    Find the value of the damping coefficient

    Homework Statement A 95.0 cm pendulum is released from a small angle. After 115 oscillations, the amplitude is one half of its original value. The damping is proportional to the speed of the pendulum bob. Find the value of the damping coefficient. Homework Equations b=sqrt k*m A=...
  21. A

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    hi, this is a question in my textbook that i don't get: Does a stiff spring undergo slower or faster damping than a less stiff spring of the same legth? i think the stiff one would undergo a faster damping because it tends not to move even though there's a mass attached to it, doesn't it...
  22. T

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  23. V

    MATLAB MatLab Spring Damping and Energy

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  24. P

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  25. J

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  26. J

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  27. P

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  28. T

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  29. T

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  30. I

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  31. N

    Find Damping Constant of Pendulum: Formula & Tips

    How do I find the damping constant of a pendulum? Is there a formula?
  32. I

    Investigating Rolling Objects: Damping & Rotation

    I've been doing experiments investigating rolling objects, and have noticed some interesting facts about energy loss. The loss is significantly greater than I would imagine, and I am having difficulty finding the source of such energy loss. I'm investigating several possible causes at the...
  33. A

    What is the theory and application for damping

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  34. G

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  35. M

    Estimate Spring and Damping Constants of 1700kg Automobile

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  36. J

    How Does Damping Force Relate to Velocity in a Pendulum?

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  37. D

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  38. S

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  39. B

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  40. M

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  41. J

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  42. Y

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  43. D

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  44. I

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  45. E

    Prove Critical Damping: x(t)=A+Bt e^(-Beta t)

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  46. W

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  47. C

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  48. S

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  49. P

    How Do You Calculate the Damping Coefficient of a Pendulum?

    A 86.0 cm pendulum is released from a small angle. After 107 oscillations the amplitude is one half of it's original value. The damping is proportional to the speed of the pendulum bob. Find the value of the damping coefficient \alpha , in Hz. I think the period is .009 s, using 1/107, but...
  50. S

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