ALGORITHMIC SOLUTION OF DYNAMIC BOUNDARY PROBLEMS IN THE FLEXIBLE CIRCULAR PLATES THEORY

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ALGORITHMIC SOLUTION OF DYNAMIC BOUNDARY PROBLEMS IN THE FLEXIBLE CIRCULAR PLATES THEORY

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This paper addresses the following issues: Construction of a unified computational scheme for solving boundary value problems of dynamic calculation of flexible circular plates under the action of axisymmetric loads using nonlinear Lyave theory, development of an automated system, study of the nature of convergence of the applied numerical methods, study of the stress-strain state of flexible plates. This work consists of an introduction, three sections and a conclusion. In the first section, in Lyave's formulation, boundary value problems of the motion of flexible circular plates in displacements are formulated. The corresponding system of two nonlinear partial differential equations is reduced to a system of two quasilinear partial differential equations. Solution domains with initial and boundary conditions are given. In the second section, integration with the help of central difference schemes is considered, approximating derivatives with second-order accuracy in place of quasilinear differential equations, a system of quasilinear and boundary conditions is obtained, the system of difference equations is written in matrix form. The sweep methods are applied to the solution of a system of quasilinear algebraic equations. In the third section, the stress-strain state of flexible round plates exposed to instantly applied loads is investigated.

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# algorithm# plates# circulars# approbation

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https://eroi.uz/11.0008/A0521-0023

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Foydalanilgan adabiyotlar

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