A multi-mode analysis of a beam-like structure undergoing transverse vibration and subjected to a displacement-dependent friction force is conducted. The system model uses a ramp configuration to increase the normal force of the dry friction damper proportional to the beam's transverse displacement.
DISPLACEMENT-DEPENDENT DRY FRICTION DAMPING OF A BEAM-LIKE STRUCTURE
โ Scribed by W.E. Whiteman; A.A. Ferri
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 337 KB
- Volume
- 198
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
The flexural vibration of a beam-like structure damped with a displacement dependent Coulomb friction force has been examined. Due to the geometry of the dry friction damping element, the friction force grows linearly with the beam's transverse displacement. Harmonic excitation of the system is analyzed using first order harmonic balance and then using an ''exact'' time domain method. The stick-slip behavior of the system has also been studied. Even though the only source of damping is dry friction, the system was seen to exhibit damping characteristics similar to linear structural damping. The equivalent natural frequency and equivalent viscous damping were also investigated, and found to depend on the amplitude of response and on the design parameters of the frictional interface. In particular, the overall damping levels as well as the amount of stick-slip motion are seen to depend strongly on the amount of displacement dependence. Another significant result was the appearance of two stable steady-state solutions at certain parameter values. The results suggest that the overall characteristics of mechanical systems may be improved by properly configuring frictional interfaces to allow normal forces to vary with displacement.
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