Load transfer from the infinite stringer to the two jammed along one edge identical stripes with initial (residual) stresses
Journal Title: Вісник Тернопільського національного технічного університету - Year 2016, Vol 83, Issue 3
Abstract
The article is devoted to problems of contact interaction of infinite elastic stringer and two identical jammed along one edge pre-stressed stripes. The research has been conducted in the framework of linearized theory of elasticity in a general form for the theory of large (finite) initial deformations and for two variants of the theory of small initial deformations with arbitrary structure of elastic potential. The study is carried out in the coordinates of the initial strain state associated with Lagrangian coordinates (the natural state). In addition, it is assumed that the interaction with the stringer occurs when the initial stresses appeared in the stripes, and the external load caused in the stripes small disturbance of the basic stress-strain state. Based on the assumption that for the stringer, which is loaded at the same time by the vertical and horizontal forces, a fair model of the bending of the beam in combination with uniaxial stress of the rod, the problem is formulated mathematically as a system of integrated differential equations relatively to the unknown contact stresses. Using Fourier transforms, the system is solved in a closed form. Expressions of the stresses are represented by Fourier integrals of rather simple structure. The influence of initial stresses on the distribution of the contact stresses has been studied and the effects of concentrated load have been identified.
Authors and Affiliations
Mykola Dikhtyaruk
Keywords
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