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Solutions of vibration problems of structural-inhomogeneous shell structures by the Müller’s method

Shoolim SalimovDepartment of Theoretical and Civil Mechanics, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, 100000 Tashkent, UzbekistanTulkin MavlanovDepartment of Theoretical and Civil Mechanics, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, 100000 Tashkent, UzbekistanAkhrorbek NumonovDepartment of Theoretical and Civil Mechanics, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, 100000 Tashkent, Uzbekistan

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The development of a unified approach to solving the problems of the dynamics and interaction of multiply connected structurally-inhomogeneous shell structures, which are an arbitrary composition of multilayer shells of revolution and rings, the creation and implementation of an appropriate software package with a high level of automation of all stages of calculations oriented to computer use significantly increase the design efficiency and are a major scientific problem of great economic importance. This paper is dedicated to solving this problem.The study and prediction of the deformation properties of the materials studied in the work are possible based on mathematical modeling of deformation and relaxation processes. In this article, we give an algorithm for solving a nonlinear functional equation with complex variables resulting from mathematical modeling of problems concerning the properties of a deformable solid.

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