НЕСТАЦИОНАРНЫЕ КОЛЕБАНИЯ КРУГОВОГО ЦИЛИНДРИЧЕСКОГО СЛОЯ, СОДЕРЖАЩЕГО ВЯЗКУЮ СЖИМАЕМУЮ ЖИДКОСТЬ

Аннотация

Subject of research: Arbitrary walled circular cylindrical layer (shell), interacting with viscous compressible fluid. Purpose of work: Development of method and reducing vibration equations of arbitrary walled cylindrical clastic layer with account of interacting viscous compressible fluid and external dynamic loading; development algorithm of defining SSS of systems and solution of vibration problems of layer and shell. Method of research: 3D theory of elasticity, methods of Fourier and Laplace transformations, method of decomposition in power series. The results obtained and their novelty: Developed deducing method of nonstationary vibration equations of arbitrary walled cylindrical layer with account of interacting viscous compressible fluid; deduced new vibration equations of considering hydroclastic system, taking account of rotatory inertia and transversal shear deformation; dynamic reaction laws of interacting fluid is defined; Algorithm defining SSS of system is developed; New problems about torsional, longitudinal harmonic wave propagations and wave processes in cylindrical layers containing viscous compressible fluid. Practical value: of the thesis has theoretical character; practical value of investigation is connected with application abilities of developed vibration theory and analytical methods to actual applied problems about vibrations of circular cylindrical layers and shells, interacting with viscous fluids. Degree of embed: Results of investigation is used in realization grants of the Committee for coordination science and technologies at the Cabinet of Ministers of the Republic Uzbekistan: №26/99 (1999-2000); ОТ-Ф1.-132(2007-2011). Field of application: results and methods presented in the thesis, can use at scientific research specialties of solid mechanics, hydroclasticity and mathematical physics.