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Information × Registration Number 0212U002800, 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 10-02-2012 Organization 3.Kiev National uniiversity of Construction and Architecture popup.description2 The mathematical tools for the potential method analysis of structures' massive elements two-dimensional stationary vibrations is developed. Two approaches for construction of hypersingular boundary integral equations which describe dynamic stress fields inside and on the boundary of the elastic two-dimensional bodies with cracks are proposed and investigated. Properties of integral equation kernels near the integration pole are determined. It is shown that both approaches yield reliable results and can be effectively used in a wide range of vibration frequencies. This report compares two methods of impact simulation for vibroimpact systems with two degrees of freedom with rigid and soft limiting stops. There are recommendations about simulation an impact by nonlinear contact interaction force and description it by Hertz contact law for vibroimpact systems with limiting stops of any kind. Theoretical basis of modified parameter continuation method for vibroimpact systems investigation at impact simulation by contact interaction force is given an account. Loading curves for the system with rigid constraint are built by this method. The peculiarities of method usage for different impact simulation methods are discussed. A numerical approach to the construction of reduced 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. A system of linear autonomous differential equations with constant coefficients is obtained due to the splitting of the correlation of external influences on the elastic system with the corresponding dynamic states. Product Description popup.authors Бубенчикова В.Г. Ворона Юрій Володимирович Геращенко Олег Валерійович Дехтярюк Євген Семенович Костіна Олена Володимірівна Лук'янченко Ольга Олексіївна Погорелова Ольга Семенівна Постнікова Тетяна Георгіївна Русанова О.В. popup.nrat_date 2020-04-02 Close