A method, called the Complex NonLinear Modal Analysis (CNLMA), is proposed for the calculation of the periodic solutions of nonlinear mechanical systems with continued nonlinearities. The equivalent linearization concept and the notion of nonlinear complex modes are applied in order to analyze the steady-state responses of autonomous nonlinear systems. The CNLM-Analysis appears very interesting in regard to computational time; it also necessitates very few computer resources. This method was applied to study instability phenomena in a nonlinear model with a constant brake friction coefficient.
Application of a Nonlinear Modal Instability Approach to Brake Systems
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 2002; Revised January 2003. Associate Editor: A. F. Vakakis.
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Sinou, J., Thouverez, F., and Jezequel, L. (February 26, 2004). "Application of a Nonlinear Modal Instability Approach to Brake Systems ." ASME. J. Vib. Acoust. January 2004; 126(1): 101–107. https://doi.org/10.1115/1.1596555
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