Equilibrium of a Prestressed Strip Reinforced with Elastic Plates

Abstract

The contact problem for a prestressed elastic strip reinforced with equally spaced elastic plates is considered. The Fourier integral transform is used to construct an influence function of a unit concentrated force acting on the infinite elastic strip with one edge constrained. The transmission of forces from the thin elastic plates to the prestressed strip is analyzed. On the assumption that the beam bending model and the uniaxial stress model are valid for an elastic plate subjected to both vertical and horizontal forces, the problem is mathematically formulated as a system of integro-differential equations for unknown contact stresses. This system is reduced to an infinite system of algebraic equations solved by the reduction method. The effect of the initial stresses on the distribution of contact forces in the strip under tension and compression is studied.

Contact Interaction of Elastic Strips With Initial Stresses With a Infinite and Finite Stringers

“…As a result of solving the previous problem, the functions of influence from the action of a unit normal force for the case of equal roots of constitutive equation [1,8,10]…”

Investigation of Contact Interaction With Stripe With Initial Stresses if She Reinforced by the Elastic Thin Finite Stringer

“…Подальший розв'язок яких представлено у вигляді квазірегулярних нескінченних систем алгебраїчних рівнянь. Досліджено вплив наявних у смузі початкових (залишкових) напружень на закон розподілу контактних напружень за лінією її контакту зі скінченним стрингером [3][4][5].…”