A note on the ultraspherical polynomial approximation method of averaging |
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| Authors: | M.A.V. Rangacharyulu P. Srinivasan |
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| Affiliation: | Department of Mechanical Engineering, University of Edinburgh, Edinburgh EH9 3JL, Scotland;Department of Mechanical Engineering, Indian Institute of Science, Bangalore 560012, India |
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| Abstract: | ![]()
The method of averaging based on ultraspherical polynomial approximation has been applied to several non-linear oscillation problems. In this paper it is shown that the above method can be interpreted as a Galerkin technique with an appropriate weight function. Even though the analysis is not rigorous enough mathematically, it does provide insight into this generalized method of averaging. |
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