Viscous damping

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In continuum mechanics, viscous damping is a formulation of the damping phenomena, in which the source of damping force is modeled as a function of the volume, shape, and velocity of an object traversing through a real fluid with viscosity.[1]

Typical examples of viscous damping in mechanical systems include:

  • Fluid films between surfaces
  • Fluid flow around a piston in a cylinder
  • Fluid flow through an orifice
  • Fluid flow within a journal bearing

Viscous damping also refers to damping devices. Most often they damp motion by providing a force or torque opposing motion proportional to the velocity. This may be affected by fluid flow or motion of magnetic structures. The intended effect is to improve the damping ratio.

  • Shock absorbers in cars
  • Seismic retrofitting with viscous dampers[2]
  • Tuned mass dampers in tall buildings
  • Deployment actuators in spacecraft

Single-degree-of-freedom system

In a single-degree-of-freedom system, viscous damping model relates force to velocity as shown below:

f=cx˙

Where c is the viscous damping coefficient with SI units of Ns/m. This model adequately describes the damping force on a body that is moving at a moderate speed through a fluid.[3] It is also the most common modeling choice for damping.[4]

See also

References

  1. Mechanical Vibrations, Rao, 5th ed.
  2. Template:Cite journal
  3. Tony L. Schmitz, K. Scott Smith. Mechanical Vibrations: Modeling and Measurement (2e). 2021. pp. 30, 51.
  4. Tony L. Schmitz, K. Scott Smith. Mechanical Vibrations: Modeling and Measurement (2e). 2021. p. 52.