The Mathematical Models of Mechanical and Electromechanical Systems Study via the Qualitative and Analytical Approach

The mathematical models of the transverse oscillations of the elastic two-dimensional body taking into account the nonlinear behavior of the external dissipative forces are obtained. There is developed the procedure to study these models in the case of the specified systems. This type models and the similar ones are used in the MEMS, in particular, to project and synthesize the technical oscillations systems parameters. There is proposed the analytical method to solve the two-point boundary problem modeling the wave process in the unperturbed case. The obtained solution is analyzed on the plate oscillations example. The numerical computation proved the method effectiveness.