MULTI-MODE ANALYSIS OF BEAM-LIKE STRUCTURES SUBJECTED TO DISPLACEMENT-DEPENDENT DRY FRICTION DAMPING

✍ Scribed by W.E. Whiteman; A.A. Ferri

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 235 KB
• Volume: 207
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1997.1140

✦ Synopsis

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. The system is studied by using harmonic balance as an approximate analytical solution and then by using a time integration method. Interesting findings include the appearance of internal resonance peaks when multiple beam modes are considered. Also, as with the earlier single-degree-of-freedom study, two dynamic response solutions exist at certain parameter values. It is found that the ability to control the amplitude of the response is a function of the frequency range considered. In general, near modal resonance peaks, the amplitude of the response decreases with increasing ramp angle. However, in an ''overlapping'' region between resonance peaks, the amplitude of the response actually increases with increasing ramp angle. It is also found that the damping contribution from the displacement-dependent dry friction damper is ''linear structural-like'' in nature and relatively insensitive to the amplitude of the response.