×

zbMATH — the first resource for mathematics

An analytic approximate technique for free oscillations of positively damped systems with algebraically decaying amplitude. (English) Zbl 1348.74225
Summary: The currently developed analytic technique known as the homotopy analysis method is employed to propose a new approach for free oscillations of positively damped systems with algebraically decaying amplitude. In contrast to perturbation techniques, this approach is valid even for damped systems without any small/large parameters. Besides, unlike other analytic techniques, this approach itself provides us with a convenient way to adjust and control convergence of approximation series. Some typical examples are employed to illustrate its validity, effectiveness and flexibility.

MSC:
74K25 Shells
PDF BibTeX XML Cite
Full Text: DOI