Viscous damping
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
[edit]In a single-degree-of-freedom system, viscous damping model relates force to velocity as shown below:
Where is the viscous damping coefficient with SI units of . 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
[edit]References
[edit]- ^ Mechanical Vibrations, Rao, 5th ed.
- ^ Pollini, Nicolò; Lavan, Oren; Amir, Oded (2017). "Minimum-cost optimization of nonlinear fluid viscous dampers and their supporting members for seismic retrofitting". Earthquake Engineering & Structural Dynamics. 46 (12): 1941–1961. doi:10.1002/eqe.2888. ISSN 1096-9845. S2CID 114445524.
- ^ Tony L. Schmitz, K. Scott Smith. Mechanical Vibrations: Modeling and Measurement (2e). 2021. pp. 30, 51.
- ^ Tony L. Schmitz, K. Scott Smith. Mechanical Vibrations: Modeling and Measurement (2e). 2021. p. 52.