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An Algorithm for Autonomous Non-linear Dynamical Equations

Published online by Cambridge University Press:  07 June 2016

A Simpson
A Simpson*
Affiliation:
University of Bristol
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Summary

The method of Beecham and Titchener is extended to systems with n degrees of freedom and is shown to be a combination of the averaging principle and the method of variation of parameters. In this extended form, the method provides a powerful solution algorithm for non-linear problems such as those which arise in aircraft structural dynamics and aeroelasticity. The method is exemplified in application to a two-degree-of-freedom damped non-linear oscillator and to a binary (flexure-aileron) non-linear flutter system. The method is finally extended to non-linear differential equations in first-order form such as those which arise commonly in flight mechanics.

Type
Research Article
Information
Aeronautical Quarterly , Volume 28 , Issue 3 , August 1977 , pp. 211 - 234
Copyright
Copyright © Royal Aeronautical Society. 1977

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References

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