Abstract
The paper considers constructing a mathematical model of components of inertial information transducers, accounting for parametric oscillations and their contact interaction. A mathematical model of components of inertial information transducers is presented in the form of a multilayered system, consisting of a plate stiffened with a set of spaced beams. Contact interaction of the beamplate structure is analyzed using the methods of nonlinear dynamics: signals, phase portraits and Fourier-specters were constructed, wavelet-transforms and the analysis of the signs of the greatest of Lyapunov indices were used. The effects of the number of stiffening ribs (one, two and three beams) on the character of oscillations of the elements is studied. Zones of synchronization and intermittence of frequencies are found. The adequacy of the solution is corroborated by comparing the results obtained using various numerical methods: finite difference method and Bubnov−Galerkin method with higher approximations along the spatial coordinate, Runge − Kutta-type time methods. Keywords: micromechanical sensors of inertial information, contact interaction of plates and beams, parametric oscillations, Bubnov − Galerkin method, Runge − Kutta method, wavelet analysis.
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