An analytic approximate approach for free oscillations of self-excited systems |
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Authors: | Shi-Jun Liao |
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Affiliation: | School of Naval Architecture and Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200030, China |
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Abstract: | A new analytic approximate technique for non-linear problems, namely the homotopy analysis method, is employed to propose an approach for free oscillations of self-excited systems. Different from perturbation methods on this topic, this approach does not depend upon any small/large parameters at all and therefore is valid for free oscillations of all self-excited systems. Besides, unlike other analytic techniques, this approach provides us with a convenient way to control the convergence of approximation series and adjust convergence regions when necessary. Two examples are employed to illustrate the validity and flexibility of this approach. |
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Keywords: | Non-linear oscillations Limit-cycle Self-excited systems |
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