Chugay M. Numerical analysis of vibrations in elements of turbomachine blading with damages

Object of research are the vibrations of turbomachine blading with damages. The purpose of work is further development of mathematical models and numerical researches of vibrations of turbomachine blading with constructional, technological and exploitational peculiarities, including damages, definition of influence of damages on a frequency spectrum and vibration stress patterns of system. By development of mathematical models of turbomachine blading the final elements methods, the theory of vibrations, the fracture mechanics, numerical methods of the solution of problems of definition of nature values and vectors are used. The thesis deals with developing 3D models of blading with damages. It also considers adapting computational methods for blading elements with damages with the help of singular finite elements for definition of forms the natural frequency spectrum, vibration modes and stress intensity patterns. The scientific novelty of the received results will consist in use of special final elements for modeling singular fields of stresses near the crack tip, definition of new quantitative and qualitative peculiarities of influence of damages (depth, a site, etc.) on a natural frequency spectrum and distribution of three-dimensional fields of displacements and stresses. Results of work were used on "Ivchenko-Progress" and in educational process at National technical university "Kharkov polytechnical institute". These results can be used at designing new and modernizations existing turbomachine blading at the machine-building enterprises.