The behavior of a linear, damped modal system with a non-linear spring-mass—dry friction damper system attached, part II

✍ Scribed by A.A. Ferri; E.H. Dowell

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 1007 KB
• Volume: 101
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(85)80038-9

✦ Synopsis

In previous work, the title problem was studied. Unfortunately, a sign reversal in the damping term led to a misinterpretation of the effect of linear damping of the modal system. In the present paper this is corrected and the work previously reported is extended.

M,[[-to + wi]ai + 2r

= Fcq~i(XF) + flcq~,(Xz),

M[-to2(zccostot)+to2(z~costot)]-Fd(4/zr)sintot+fl~costot+flssintot=O.

(3) zs terms have been set equal to zero without loss of generality. A complete list of nomenclature is given in Appendix C of Part I (see also Appendix C of this paper).

Unfortunately, the signs of the viscous damping terms used in Part I were inverted. Because of this error, the results of Part I pertaining to positive, viscous, modal damping are actually representative of a system with negative viscous damping. The results pertaining to systems with zero viscous damping are correct as previously presented, and are not discussed further in this paper.

Solving equations ( 1), ( 2) and (3) for the applied force in terms of the amplitude of the displacement of the beam, at the point where the spring-mass -dry friction damper 55 .