Abstract
A model is proposed for studying the dynamic stability of a three-layer cylindrical shell with an asymmetric package of composite bearing layers and a light filler, supported by ring ribs and an elastic hollow cylinder, under the action of axial forces and external pulsating pressure. For the first time, equations are obtained and the main stages of solving the problem are considered using the combination of methods proposed. For arbitrarily arranged unequal ribs, the problem is reduced to solving a system of equations with respect to the amplitude values of the two circumferential and radial displacements of the shell at the locations of the ribs. For evenly spaced identical ribs, the characteristic equation for determining the critical frequencies is a system of three algebraic equations. For the first time, the dependences of the critical frequencies of the main instability regions are constructed and the influence of the cylinder and ribs parameters on them is investigated. The original mathematical model developed makes it possible for the first time to analyze the simultaneous influence of the ribs and the cylinder on the boundaries of the instability regions and to determine the occurrence of a parametric resonance that leads to the destruction of the aircraft engine body.
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This work was carried out within the framework of a State Assignment of the Institute of Applied Mechanics, Russian Academy of Sciences.
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Translated by T. Sokolova
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Bakulin, V.N., Nedbay, A.Y. Dynamic Stability of a Three-Layer Cylindrical Shell Reinforced by Ring Ribs and a Hollow Cylinder under the Action of External Pulsing Pressure. Dokl. Phys. 66, 175–181 (2021). https://doi.org/10.1134/S1028335821060021
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DOI: https://doi.org/10.1134/S1028335821060021