Non-stationary vibrations of a viscoelastic structure

The effect of the linear and nonlinear properties beam's material on dynamic behavior a structure under different kinematic influences is investigated. With an account for viscoelastic material, problem consideration reduced to system small-order or integro-differential equations by selection coordinate functions satisfying geometric boundary conditions; solved averaging method using quadrature formulas. In article, problems are finite element Newmark method. First, resolving matrix differential obtained method, then it advantage proposed algorithm use in solution all possible modes vibration, which ignored conventional methods. Comparisons results forced vibrations beam, taking into influences, show that at initial time, elastic solutions practically do not differ from each other. Over amplitude oscillations points reaching certain maximum value, remains constant begins decrease gradually. Analysis presented beam shows general case, when viscous taken account, leads greatest amplitudes displacements compared with other obtained.