The mathematic model of dynamic process into beam, which lies on the elastic foundation Winkler's type, at sudden change of boundary conditions caused by destruction of supporting is presented in the paper. Solution of static bending problem for such beam clamped at two ends is the initial state for dynamic process of it forced oscillations as cantilever rod at destruction of supports limiting edge displacements. The effect, which caused by sudden transformation of computational model of constructively nonlinear system 'beam - foundation' at different combinations of mechanical and geometrical parameters of beam and foundation, is investigated.
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