NON-STATIONARY WAVES IN THREE COMPONENT VISCOELASTIC BAR

MAMMADHASANOV Elkhan H., Ph. D. in Phys.-Math., Assoc. Prof., Azerbaijan Technical University, Baku, Azerbaijan, E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

In the paper we obtain exact analytic solutions of a problem on longitudinal shock on a thin, piecewise-homogeneous linear visco-elastic bar consisting of three parts of finite length h1(0 < x < l1), h2(l1 < x < l2) and a semi-infinite length (l2 < x < ∞), that are connected with rigid contact conditions, the mechanical properties of these parts are described by linear integral relations with the same, arbitrary difference kernels. The problem is solved by using the Laplace integral transform, while inverse transform are found by using the Efros generalized theorem, specially designed functions and tables of inverse transforms. New mechanical effects were obtained by numerical analysis.

longitudinal stock, nonstationary values, stress, piecewise-homogeneous bar, linear viscoelasticity, creeping kernel, integral transformation

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