Aerospace Instrument-Making Annotation << Back Study of the frequency of natural oscillations of the flat plate with holes Safronov V.S. The article presents the model, the results of the solution of theoretical studies to de-termine the natural frequencies of a flat plate with a hole, all the edges of which are pivotally - mounted or pinched. The comparison of these results with the results obtained numerically. The advantage of the approach to determine the natural frequencies of a flat plate with a hole is the analytical solutions obtained. Analytical solutions in contrast to numerical solution methods allow even the initial stages of the design of structures to judge the degree of influence of a parameter on the final result due to the explicit expression parameters influence in the analytic representation. The choice of the method for solving the Rayleigh-Ritz method is well founded. It is known that in those cases the calculation of plates and shells, exactly when is difficult to solve the problem , deserves special attention Rayleigh-Ritz method. The more complex the task, the more benefits it gives use. Moreover, the advantage of Rayleigh-Ritz method consists in the fact that it does not require a prerequisite – the exact method of calculating the critical parameters in the solution of differential equations of equilibrium of curved shape. Essence of this requirement - the need to meet the given boundary geometry and force boundary conditions. When used to study Rayleigh-Ritz method is sufficient to meet the approximating functions only geometric boundary conditions, as the power requirements are met automatically. Finally, transcendence rather cumbersome equations (solved by numerical methods), which leads to integration of the differential equations of equilibrium is not always possible to express the required critical parameters explicitly. Key words: flat plate, cut, natural frequency, the Rayleigh-Ritz method. Contacts: E-mail: v.s.safronov@mail.ru Pp. 35-42.