Study free vibrations of mechanical objects with moving boundaries using asymptotical method
V. L. Litvinov1
| Annotation | The generalized method of using the asymptotical method for the study of free oscillations of mechanical objects with moving boundaries is developed. Asymptotical method is extended to a wider class of boundary value problems, which in the case of fixed boundaries can be solved by separation of variables. As an example free vibrations of a beam of variable length are studied. The comparison with the results obtained using the Kantorovich-Galerkin are produced. |
|---|---|
| Keywords | differential equations in partial derivatives, the free vibrations of objects with moving boundaries, the laws of motion of the boundaries |
1Senior lecturer of dept. of general – theoretical disciplines, Syzran Branch of Samara State Technical University, Syzran, vladlitvinov@rambler.ru.
Citation: V. L. Litvinov, "[Study free vibrations of mechanical objects with moving boundaries using asymptotical method]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:1 (2014) 83–88 (In Russian)
