Energy Transfer and Dissipation in a Three-Degree-of-Freedom System With Stribeck Friction

Friction at connecting joints is a key mechanism by which passive damping occurs in built-up structures. This paper explores the ability of friction to transfer energy between subsystems of an interconnected system. Two single-degree-of-freedom (SDOF) systems are used to represent separate subsystems and a third mass is used to represent the connecting joint. A Stribeck friction model is used to represent the resistive force acting on this coupling mass. Through numerical simulation studies, the influence of the subsystem dynamics on the overall energy dissipation levels is investigated. In particular, it is seen that favorable tuning conditions exist that result in a “pumping” of energy from the low-frequency motion of one subsystem to the higher-frequency motion of the other subsystem. It is also seen that one-way energy transfer can occur in such a system due to the eventual joint lock-up that can occur when the connecting mass sticks.Copyright © 2005 by ASME

[1]  L. Gaul,et al.  The Role of Friction in Mechanical Joints , 2001 .

[2]  Kenji Minesugi,et al.  Passive vibration suppression of truss by using backlash , 1993 .

[3]  Eric E. Ungar,et al.  The status of engineering knowledge concerning the damping of built-up structures , 1973 .

[4]  Aldo A. Ferri,et al.  The influence of friction models on passive damping and dynamic response of a flexible beam structure , 1995 .

[5]  C. F. Beards.  Feature Article: tutorials and items of special interest DAMPING IN STRUCTURAL JOINTS , 1992 .

[6]  Aldo A. Ferri.  DAMPING THROUGH USE OF PASSIVE AND SEMI-ACTIVE DRY FRICTION FORCES , 2001 .

[7]  A. Ferri.  Modeling and analysis of nonlinear sleeve joints of large space structures , 1988 .

[8]  Oleg Gendelman,et al.  Energy pumping in nonlinear mechanical oscillators : Part I : Dynamics of the underlying Hamiltonian systems , 2001 .

[9]  R. Ibrahim.  Friction-induced vibration, chatter, squeal, and chaos: Part I - Mechanics of friction , 1992 .

[10]  T. J. Hertz,et al.  Displacement dependent friction in space structural joints , 1985 .

[11]  Raouf A. Ibrahim,et al.  Friction-Induced Vibration, Chatter, Squeal, and Chaos—Part II: Dynamics and Modeling , 1994 .

[12]  Steven L. Folkman,et al.  Influence of pinned joints on damping and dynamic behavior of a truss , 1995 .

[13]  C. F. Beards,et al.  Damping in structural joints , 1979 .

[14]  Aldo A. Ferri,et al.  Friction Damping and Isolation Systems , 1995 .

[15]  A. Banerjee,et al.  Efficient Simulation of Motions Involving Coulomb Friction , 1999 .

[16]  Steven L. Folkman,et al.  Gravity effects on damping of a space structure with pinned joints , 1990 .