An investigation of describing function development
Loveless, Jerry Michael
Thaler, George J.
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Since Kochenburger presented the describing function numerous attempts have been made to improve and/or simplify the methods of studying nonlinearities in servo-mechanisms. This paper reviews some of the most common methods of describing function development. The describing function has been used primarily for stability analysis on the Nichols, polar, and Nyquist plots. This paper shows the use of the real and imaginary components of the describing function on the parameter plane. In addition a generalized digital computer program is developed for generating describing function data for a large class of nonlinearities. Data is computed and tabulated for a number of common nonlinearities, and these tables are included as an appendix.
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