Calculation of the tense-deformed state of two ortogonal attended plates at the regional terms of symmetry through the matrices of Grina type

Abstract

Purpose. Calculate the tense-deformed state of two ortogonal attended plates through special the built matrices of Grina type. Research methods. Bases of theory of laminas, apparatus of trigonometric rows of Fourier, methods: border-component tasks, variation of arbitrary permanent, matrices of Grina type. Results. A task of elastic elastic equilibrium of plate pairs connected at right angle was considered. On parallel edges of component body to connection rib special edge conditions – conditions of symmetry – were chosen. From the physical point of view the probed body can be the model of lateral walls of parallelepiped. It is provided the special terms of symmetry on both edges of component body, which are parallel to the rib of connection of plates. The method of calculation allows to calculate the tense-deformed state of spatial construction consisting of two plates in edge conditions of arbitrary surface loading. The results of calculation (as lines of level) of basic characteristics of static deformation of considered rectangular connection of two plates are given. Scientific novelty. The method of calculation of pair of plates, united at right angles was improved at the regional terms of symmetry, with subsequent graphic illustration of achived results. Practical value. The task probed in-process designs the phenomena which take place, at deformation of elements of vulcanization equipment. Achived results allow to find pequliarities of elements work of construction of complext structure and to promote its efficiency by optimization of component parameters parts.