DYNAMIC STRESS-STRAIN STATE OF TWO-LAYER VISCOELASTIC CYLINDERS UNDER KINEMATIC EXCITATION.
The paper considers the dynamic stress-strain state of two-layer viscoelastic cylinders under kinematic excitation. The relationship between stresses and strains satisfy the Boltzmann-Voltaire integral relation. The problem is reduced to a plane problem of the theory of viscoelasticity. The problem is solved by the Green-Lamb potential methods. The resulting integro-differential equations of partial derivatives are solved using the special Bessel and Hankel functions of the 1st and 2nd kind of the nth order. The solution is expressed in terms of special functions of the complex argument. To determine the integral constants, a system of algebraic equations with complex coefficients is obtained. Numerical solutions are obtained and an analysis is made.