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Information × Registration Number 0213U001356, 0110U002281 , R & D reports Title Theory and methods of research of elastic systems dynamic behavior under external loading of stochastic and shock nature popup.stage_title Head Bazhenov Viktor, Registration Date 01-02-2013 Organization 3.Kiev National uniiversity of Construction and Architecture popup.description2 Methodological foundation for 2D steady state and transient analysis of structures solid elements were developed. The algorithms for systems of hypersingular boundary integral equation construction and solving which described fields of stresses near and on the boundary 2D solids with cracks were studied. The different methods of impact simulation were used and compared each with other in the time of research of vibroimpact systems with soft and rigid constraints. There were such methods as stereomechanic theory and discrete methods, particularly quasistatic Hertz's theory. Dynamic characteristics of twomass two-degree-of-freedom vibroimpact systems were created and analyzed by parameter continuation method, Runge-Kutt's numerical integration method, Floke's stable theory and Puancare's cross-sections. Conclusions and recommendations about taking into account of influence of both external loading parameters and vibroimpact systems constructive parameters at their dynamic behaviour were made. A numerical method to the forming of reduced mathematical models of stochastic parametric oscillations of shallow shells is developed using finite element method, method of generalized coordinates and the asymptotic method based on the decomposition of the statistical characteristics of the dynamic problem solution by a small parameter. The stability problem is formulated as a problem of stability in reference to momentum functions of phase coordinates of the second order, which is used for the functional approach. A method to the studing the dynamic behavior and stochastic stability of shallow shells is established using the method of numerical integration of Runge-Kutta fourth order method and generalized indicators Hill, which are implemented as computational procedures. Product Description popup.authors Бубенчикова В.Г. Ворона Юрій Володимирович Геращенко Олег Валерійович Козак А.А. Костіна Олена Володимірівна Лук'янченко Ольга Олексіївна Погорелова Ольга Семенівна Постнікова Тетяна Георгіївна Черненко О.В. popup.nrat_date 2020-04-02 Close