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A Note on One-Term Approximate Solutions for Non-Linear Vibration Problems

Published online by Cambridge University Press:  04 July 2016

S. Mahalingam
S. Mahalingam*
Affiliation:
Department of Mechanical Engineering, University of Ceylon
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Extract

Several methods are available for the solution of problems of forced vibration of systems with nonlinear elastic characteristics. Of these, the Martienssen, Den Hartog and Rauscher methods may be applied even if the restoring force characteristic is only known graphically, while the Duffing and Perturbation methods are only applicable when the restoring force characteristic is expressed in a convenient mathematical form. Successive approximations are used in the Duffing, Perturbation and Rauscher methods and therefore any desired degree of accuracy can be obtained. The Den Hartog and Martienssen methods give a two-term and one-term solution respectively.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 62 , Issue 570 , June 1958 , pp. 450 - 451
Copyright
Copyright © Royal Aeronautical Society 1958

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References

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