Energy method to obtain approximate solutions of strongly nonlinear oscillators (Q473897)
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scientific article; zbMATH DE number 6372549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Energy method to obtain approximate solutions of strongly nonlinear oscillators |
scientific article; zbMATH DE number 6372549 |
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Energy method to obtain approximate solutions of strongly nonlinear oscillators (English)
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24 November 2014
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Summary: We introduce a nonlinearization procedure that replaces the system potential energy by an equivalent representation form that is used to derive analytical solutions of strongly nonlinear conservative oscillators. We illustrate the applicability of this method by finding the approximate solutions of two strongly nonlinear oscillators and show that this procedure provides solutions that follow well the numerical integration solutions of the corresponding equations of motion.
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