Friction damping of two-dimensional motion and its application in vibration control

This paper presents an approximate method for analyzing the two-dimensional friction contact problem so as to compute the dynamic response of a structure constrained by friction interfaces. The friction force at the joint is formulated based on the Coulomb model. The single-term harmonic balance scheme, together with the receptance approach of decoupling the effect of the friction force on the structure from those of the external forces has been utilized to obtain the steady state response. The computational efficiency and accuracy of the method are demonstrated by comparing the results with long-term time solutions.

[1]  Earl H. Dowell,et al.  Forced response of a cantilever beam with a dry friction damper attached, part II: Experiment☆ , 1983 .

[2]  Wilfred D. Iwan,et al.  On a Class of Models for the Yielding Behavior of Continuous and Composite Systems , 1967 .

[3]  Chia-Hsiang Menq,et al.  The influence of microslip on vibratory response, part I: A new microslip model , 1986 .

[4]  Chia-Hsiang Menq,et al.  The influence of microslip on vibratory response, Part II: A comparison with experimental results , 1986 .

[5]  J. Griffin.  Friction Damping of Resonant Stresses in Gas Turbine Engine Airfoils , 1980 .

[6]  B. Lazan.  Damping of materials and members in structural mechanics , 1968 .

[7]  Earl H. Dowell,et al.  Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method , 1985 .

[8]  Thomas K. Caughey,et al.  Sinusoidal Excitation of a System With Bilinear Hysteresis , 1960 .

[9]  Earl H. Dowell,et al.  Forced response of a cantilever beam with a dry friction damper attached, part I: Theory , 1983 .

[10]  Chia-Hsiang Menq,et al.  A Comparison of Transient and Steady State Finite Element Analyses of the Forced Response of a Frictionally Damped Beam , 1985 .

[11]  Wilfred D. Iwan.  An electric analog for systems containing coulomb damping , 1964 .

[12]  W. Ramberg,et al.  Description of Stress-Strain Curves by Three Parameters , 1943 .

[13]  C. F. Beards,et al.  The Control of Frame Vibration by Friction Damping in Joints , 1985 .

[14]  P. C. Jennings.  Periodic Response of a General Yielding Structure , 1964 .

[15]  G. Yeh.  Forced Vibrations of a Two‐Degree‐of‐Freedom System with Combined Coulomb and Viscous Damping , 1964 .

[16]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .