Forced vibration responses of nonlinear systems contain harmonics of the excitation frequency. These harmonics are either directly forced or are subharmonic, superharmonic, or combination resonances. Nonlinear responses of this type have been modeled historically using continuous time, discrete time, and continuous frequency models. A new approach to dynamic systems analysis is introduced here that uses difference equations in the discrete frequency domain to describe the evolution of forced, single degree of freedom, steady state vibration responses in frequency instead of time. A variety of possible applications in nonlinear experimental structural vibrations are also discussed.
Discrete Frequency Models: A New Approach to Temporal Analysis
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received Nov. 1999; revised Aug. 2000. Associate Editor: M. J. Friswell.
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Adams, D. E., and Allemang, R. J. (August 1, 2000). "Discrete Frequency Models: A New Approach to Temporal Analysis ." ASME. J. Vib. Acoust. January 2001; 123(1): 98–103. https://doi.org/10.1115/1.1320815
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