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A note on the evaluation of the response of a non-linear element to sinusoidal and random signals

A note on the evaluation of the response of a non-linear element to sinusoidal and random signals

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A simple method is developed for analysing the response of nonlinear elements to sinusoidal and random signals. Special cursors are presented which enable the effective gain of the non-linear unit to be determined quickly.For sinusoidal signals the technique provides a rapid means for rinding the Fourier components of fundamental frequency of the output waveform, for both single-valued and for hysteretic forms of nonlinearity. The gain of any single-valued non-linearity when subject to a random signal is also evaluated. The amplitude probability distribution of the signal can be any known function.The method of analysis is invaluable for deriving the response of non-linear control systems subjected to random or sinusoidal inputs.

References

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      • R.J. Kochenburger . A Frequency-Response Method for Analysing and Synthesizing Contactor Servomechanisms. Transactions of the American I.E.E.
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      • J.C. West , J.L. Douce . The Frequency Response of a Certain Class of Non-Linear Feedback Systems. British Journal of Applied Physics
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      • Barrett, J.F., Coales, J.F.: `An Introduction to the Analysis of Non-Linear Control Systems with Random Inputs', Monograph No. 154 M, Proceedings I.E.E., November 1955, 103, p. 190.
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      • Booton, R.C.: `Non-Linear Control Systems with Statistical Inputs', No. 61, 1954.
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      • L.T. Lewis . Harmonic Analysis for Non-Linear Characteristics. Transactions of the American I.E.E.
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