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Aerospace Instrument-Making

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Calculation features of dynamics of the pressure devices applied in the modern aviation industry. Part 1. Calculation of devices of pressure by Bubnov – Galerkin’s method in the maximum approach
V.A. Krysko, I.V. Papkova, N.E. Saveljeva

Mathematical models of flexible rectangular shells by way of environments are directly applicable for calculation of convoluted diaphragm as sensitive elements of pressure gauges in instrument making, mechanical engineering etc., to research of which more and more attention was given for last years. These elements of modern flying devices try increasing dynamic external action, therefore there is a necessity of complex research of behaviour of such systems and establishments of set of parameters of external dynamic influence that will characterize safe and dangerous modes. Research to be carried out based on the qualitative theory of the differential equations and nonlinear dynamics. The infinite-dimensional problem is reduced to finite-dimensional by Bubnov-Galerkin method in the maximum approach. The initial problem is solved by the IV order of accuracy Runge-Kutt method. As a result of the carried out analysis the maps of behavior modes of flying designs that allow allocating both safe parameters of external influence and the most dangerous have been constructed.

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