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Information × Registration Number 0200U001789, 0198U007902 , R & D reports Title Development of theory and approaches to research of viscoelastoplasticity strain and distraction process of massive bodies of complicated shape and structure under static and dynamic loading. popup.stage_title Head Gulyar O. I., Topor O.G., Registration Date 29-03-2000 Organization Kiev National University of bildiny and tecture popup.description2 Modelling of spatial objects nonlinear deformation in creep condition realized with step-type method by time, wich is involved with considerable duration of this process. Step by time size essentially depends of the material creep characteristics, stress-stained kind and other factors. Solution of the obtained nonlinear equation set on each time's step is made by block-iteration method, wich is conditioned by block-diagonal matrix's structure of algebraical equations. This structure is typical for semianalytical method of finite elements, using Lagrange and Michline polynomial such a basis function system for displacements approximation. Effectiveness of the two variats of algorithm development, wich is difference with using of characteristics of stress-stained state, obtained on the diverce time step, has been considered. Procediing from the compare of calculate spending, which is necessary for correct results obtaining, more effective variant has been choosen. Principles of the working and pl acement in comruter on-line storage of the source and on-line information, used in the process of solution of the tasks, has been developed. Effective algorithms for solving systems of linear and non-linear equations generated by developed mathematical models and method of investigation of stable vibrations of 3D structures (solids of revolution and prismatic solids) nave been presented. Non-linear equations present the process of stable vibrations of the structures with variable by time and by space areas of contact interaction. Taking into account spicific of governing equations of Semi-analytical Finite Element Method, developed algorithms are based upon combination of direct (Gauss method) and iterative (method of successive over relaxation) procedures Product Description popup.authors popup.nrat_date 2020-04-03 Close