Rassmatrivayutsya lineynye mekhanicheskie sistemy s konechnom chislom ili schetnym mnozhestvom stepeney svobody. Sistema soderzhit nasledstvenno uprugie elementy. Predpolagayutsya izvestnymi raspredelenie mass sistemy, mekhanicheskie kharakteristiki deformiruemykh elementov. Stavitsya zadacha opredeleniya dissipativnykh kharakteristik i napryazhenno-deformirovannogo sostoyaniya (NDS) sistemy. Vynuzhdennye kolebaniya proiskhodyat pri nalichii impulsnykh i periodicheskikh vneshnikh vozdeystviy. Zadacha opredeleniya chastot i dekrementov sobstvennykh kolebaniy sistemy, sostoyashchey...

Annotation. In this paper we consider the spectral problem for the wave propagation in extended plates of variable thickness. Describes how to solve problems and numerical results of wave propagation in infinitely large plates of variable thickness. Viscous properties of the material are taken into account by means of an integral operator Voltaire. The study is part of the spatial theory of viscoelastic. The technique is based on the separation of spatial variables and formulating boundary Eigen values problem to be solved by the method of orthogonal sweep Godunov. Numerical values obtained...

The work is dedicated to the development of mathematical modeling based on variational methods. How to solve dynamic problems of elastic and viscoelastic plates and shells systems with point links and concentrated masses. Available methods for the calculation of the dynamic behavior of elastic rectangular plates and shells of revolution with point contacts oriented, tend to the solution of specific problems.