Forced vibrations of a torsional oscillator with Coulomb friction under a periodically varying normal load

The forced vibration response of a single degree of freedom torsional system with Coulomb friction, under a periodically varying normal load, is studied. First, an enhanced multi-term harmonic balance method is developed to calculate nonlinear responses directly in frequency domain; this should be in general applicable to periodically varying nonlinear systems. Second, a pulse width modulated normal load is approximated by a truncated Fourier series with a reasonable number of harmonic components and utilized for case studies. Finally, the effects of duty ratio on nonlinear frequency responses are examined.

[1]  Chengwu Duan,et al.  Super-harmonics in a torsional system with dry friction path subject to harmonic excitation under a mean torque , 2005 .

[2]  Steven W. Shaw,et al.  On the dynamic response of a system with dry friction , 1986 .

[3]  J. Dormand,et al.  A family of embedded Runge-Kutta formulae , 1980 .

[4]  Rajendra Singh,et al.  Super- and sub-harmonic response calculations for a torsional system with clearance nonlinearity using the harmonic balance method , 2005 .

[5]  D. Ewins,et al.  The Harmonic Balance Method with arc-length continuation in rotor/stator contact problems , 2001 .

[6]  渋谷 泰隆.  Non-linear ordinary differential equations with periodic coefficients = 周期係数非線型常微分方程式 , 1961 .

[7]  T. K. Pratt,et al.  Non-linear analysis of stick/slip motion , 1981 .

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

[9]  Chengwu Duan,et al.  Stick-Slip Behavior of Torque Converter Clutch , 2005 .

[10]  Chengwu Duan,et al.  Influence of harmonically varying normal load on steady-state behavior of a 2dof torsional system with dry friction , 2006 .

[11]  P. M. Radmore,et al.  Advanced mathematical methods for engineering and science students: Non-linear ordinary differential equations , 1990 .

[12]  Dynamics of a torsional system with harmonically varying dry friction torque , 2008 .

[13]  Kenneth A. Cunefare,et al.  Braking Impact of Normal Dither Signals , 2005 .

[14]  Rajendra Singh,et al.  Non-linear dynamics of a spur gear pair , 1990 .

[15]  Jaeyoung Kang,et al.  Brake dynamometer model predicting brake torque variation due to disc thickness variation , 2007 .