论文信息 - A Note on the Response Spectrum Map

A Note on the Response Spectrum Map

A plot of frequency, or spectral, content versus a system parameter was introduced in a recent paper by Billings and Boaghe [2001] as a useful alternative to bifurcation diagrams in nonlinear dynamics. The current contribution illustrates the same approach based on data taken from two experimental mechanical systems in which hysteresis is featured.

Lawrence N. Virgin | S. T. Trickey | J. M. Nichols

[1] Lawrence N. Virgin,et al. Introduction to Experimental Nonlinear Dynamics , 2000 .

[2] Stephen A. Billings,et al. The Response Spectrum Map, a Frequency Domain Equivalent to the bifurcation Diagram , 2001, Int. J. Bifurc. Chaos.

[3] Cyril M. Harris. Shock and Vibration Handbook - Fourth Edition , 1996 .

[4] E. Dowell,et al. Nonlinear Behavior of a Typical Airfoil Section with Control Surface Freeplay: a Numerical and Experimental Study , 1997 .

[5] S. Vohra,et al. Measurement and analysis of complex modulated motions in a weakly nonlinear system , 1998 .

[6] Kurt Wiesenfeld,et al. Noisy precursors of nonlinear instabilities , 1985 .

[7] Earl H. Dowell,et al. The stability of limit–cycle oscillations in a nonlinear aeroelastic system , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[8] Alfred Mertins,et al. Signal Analysis: Wavelets, Filter Banks, Time-Frequency Transforms and Applications , 1999 .