COMPUTER MODELING THE STRESS STATE OF OPERATING TANKS USING GEOMETRIC INTERPOLATORS
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Abstract
On the example of modeling the stress state of cylindrical tanks for the storage of petroleum products with geometrical imperfections, a method for the numerical study of thin-walled shells of engineering structures is implemented. It includes the compilation and numerical solution of differential equations array, followed by interpolation of the results and determination of the displacements extreme values (or stresses) that occur in the reservoir from the action of a hydrostatic load, taking into account geometric and structural non-linearity. To implement the proposed method, the geometric theory of multidimensional interpolation and approximation is used, including a new way of processing the initial conditions of the differential equation. It consists in the parallel transfer of the numerical solution to the desired point, the coordinates of which correspond to the initial conditions. As a result, it was possible to achieve a significant increase in the speed of the numerical solution while maintaining an accuracy sufficient for engineering calculations.
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References
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