MATHEMATICAL MODEL AND COMPUTATIONAL EXCREMENT OF GEOMETRICALLY NONLINEAR PROBLEMS OF BENDING THERMOPLASTIC PLATES WITH THE PARTICIPATION OF TEMPERATURE WITH A COMPLEX CONFIGURATION
Keywords:mathematical model, geometrically nonlinear problems, Ostrogradsky-Hamilton variational principle, nonlinear deformation, thermoplastic heat-conducting thin plates
The article contains an analysis and review of the literature and a statement of the problem. And also developed a mathematical model of geometrically nonlinear problems of bending thermoplastic plates with a complex configuration based on the variational principle of Ostrogradsky-Hamilton. The basic equations of stationary thermal conductivity of plates and a mathematical model of thermoplastic plates are constructed. Mathematical models and mathematical modeling of the processes of nonlinear deformation of thermoplastic heat-conducting thin plates have been developed.
Based on the Ostrogradsky-Hamilton variational principle, a mathematical model and basic equations of motion of the processes of nonlinear deformation of thin plates have been developed. When building certain models, the laws of change of transfer, the physical relations of Hooke's law, the geometric relations of Cauchy, and a rectangular coordinate system are applied. And also a computational experiment was carried out on the calculation of thermoplastic plates of various shapes.