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A Numerical Technique for the Solution of Some Non-Linear Systems

Published online by Cambridge University Press:  04 July 2016

W. Carnegie ,
Z. Reif  and
R. S. S. Wee
W. Carnegie
Affiliation:
Department of Mechanical Engineering, University of Surrey
Z. Reif
Affiliation:
Department of Mechanical Engineering, University of Surrey
R. S. S. Wee
Affiliation:
Department of Mechanical Engineering, Hendon College of Technology
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Extract

Exact solutions for certain types of non-linear systems where the non-linearity is symmetrical, that is to say, gravitational effects have been ignored, and damping is absent, are given by Den Hartog and Mikina. The algebra involved in these solutions is somewhat cumbersome and inconvenient to apply. A numerical method is given by Stormer but the computation is tedious without the use of a digital computer. The method employed by Lourie and Tchekmarev is commendable by virtue of its simplicity.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 73 , Issue 704 , August 1969 , pp. 680 - 686
Copyright
Copyright © Royal Aeronautical Society 1969 

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References

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