Abdullayev F. Dynamical stability rectilinear tubeswith internal flows of an non- homogeneous fluids - Manuscript

The dissertation is devoted to elaboration of the numerical methods for theoretical investigation of dynamics of cantilever and simply-supported tube beams under loads of their interaction with heteroogeneous internal flows of fluid and prognosis of critical states of their motion. The new approach is proposed which is based on usage of models of beams theories of the Euler-Bernoulli and Timoshenko types, methods of theoretical mechanics, the Floque theory of stability and Houbolt method. The regimes of vibration self-excitation of the tubes with continuous and discontinuous flows, as well as under action of moving fields of pressure have been studied. The general regularities of their motion in the precritical, critical and supercritical states have been established.