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Information × Registration Number 0205U000796, 0103U001407 , R & D reports Title Iterative simulation of problems of durability, stability and oscillations of prismatic composite bodies with the account deplanation of sections popup.stage_title Head Muravlev Vladimir Vyacheslavovich, Registration Date 11-02-2005 Organization Polava National Technical University named in the honour of Yuri Kondratyuk popup.description2 Subject of inquiry or development: the Subject of inquiry is the stress strained state of inhomogeneous composite bars in view of the phenomenon of strains of the transversal shear. The purpose of operation: the Purpose of operation is development of the theory of iterative simulation of problems of mechanics (stress strained state (SSS), oscillations, sustainability) the prismatic bodies of composite structure; construction of analytical and semi-analitical techniques of implementation of the designed theory; accomplishment on this basis of researches of effect of deplanations of cross- section on the solution of the specified problems and deriving of results of application value for different areas of technics. Methods of research and the equipment: Methods of theory of elasticity, mathematical physics, the theory of generalized functions, computer algebra, numerical methods, personal computers, the labware. Results and their novelty: 1. The iterative theory of simulation of SSS of the prismatic composite body (type of a bolster) for the solution of a problem of its straining is builted at curving, oscillations and sustainability in view of a deplanation of cross-sections owing to compliance to shear strains and reduction; 2. Properties of the iterative theory - habits of a formulation of its hypotheses, definition of distribution functions of components of SSS on cross-section of a bolster and parameters of its rigidness, an aspect of system of the defining differential equations and boundary conditions are investigated, and also the boundary line of application of the theory depending on generalized physicomechanical and critical bucklings of the prismatic body and extent of its iteration is established; 3. The technique of analytical implementation of the iterative theory on the basis of methods of direct integration of defining system of the differential equations with deriving their solution in the final closed view for bars under various loadings is offered at the account of various boundary conditions; 4. On the basis of modern methods of computer algebra the technique of semi-analitical implementation of the iterative theory is developed for a problem solving of curving of the prismatic bodies with different conditions of attaching for any extent of a repetitive process; 5. Habits of SSS of the prismatic bodies in working areas of attachings are investigated, at act of various loadings, in particular local, depending on habits of structure and extent of limitation of a deplanation of cross-section; 6. The technique of definition of parameters of frequencies of natural oscillations for bars of different structure, and also the solution of a problem of their forced oscillations is devised; 7. Parameters of critical forces of composite bars and operations of separate phases of an aggregate in a supercritical condition are discovered; 8. Results of a problem solving of mechanics of composite bars of application value have been injected in construction, engineering industry and a materials technology, inparticular, into "Aerocopter Ltd" (Poltava) where were used for calculation of strength and reliability of composite lobes, cubicles and other nodes of helicopters " ЂЉ-1-5 " and "ЂЉ-1-3". Recommendations on use of results of operation: Results of operation are recommended to be used by development of composite materials, and also in strength analysis of elements of constructions and buildings from these materials. The significance of operations and leading-outs: One of aspects of the further successful evolution of a modern science and technics is a heading in practice of progressive composite materials. Result of researches is the mathematical model of SSS of elements of constructions from such materials, and also means of its numerically-analytical implementation. Comparative researches have displayed, that classical theories give essentially underrated values at definition of equivalent bending flexures and efforts. Methods and approaches to creation of modern systems of computer algebra and production engineering of programming in them are developed, that allows to raise efficiency of scientific and technical development considerably. Forecast offers on evolution of a subject of inquiry or development: Constructibility of a mathematical model and generalized methods of its implementation allow to pass round them to composite materials with more complex geometrical and speed-torque characteristics to approach properties of investigated models to properties of really existing constructions and buildings. Product Description popup.authors popup.nrat_date 2020-04-02 Close