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Following previous work on computing approximate frequency response functions for the Duffing oscillator under white Gaussian excitation, an approximation is obtained here for the coherence function.
The discrepancy between the second approximate frequency and the exact one never exceeds 2.2%.
The approximate frequency and the corresponding periodic solution can easily be determined by the present proposed method.
The approximate frequency obtained using the second procedure is more accurate than the frequency obtained with the first one and the discrepancy between the approximate frequency and the exact one is lower than 1.28%.
An approximate frequency response function of damaged model is used to redeem the method for the effect of incomplete measurement.
It is shown that the method is readily applicable to the determination of approximate frequency values for solid circular plates.
Similar(11)
This paper presents an approximate, frequency-domain approach to modelling complex structures (CSs) with localised nonlinearities, designated here as complex sub-systems.
Higgs, P. W. The Vibration Spectra of Helical Molecules: Infra-Red and Raman Selection Rules, Intensities and Approximate Frequencies.
Distribution and approximate frequencies of haplogroup G2a-L91 in Europe based on the data from Rootsi et al.17.17
With the proposed procedure, the approximate frequencies and the corresponding periodic solutions can be easily determined.
Both approximate frequencies are valid for the complete range of oscillation amplitudes, and excellent agreement of the approximate frequencies with the exact one are demonstrated and discussed.
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