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Information × Registration Number 0307U001181, 0105U001332 , R & D reports Title Development of the theory and methods for prognostics processes of deformation of thin-walled and solid constructions under static and dynamic loads with a different nature popup.stage_title Створення й апробація ефективних обчислювальних методів розв'язання нелінійних задач міцності, стійкості та повзучості з урахуванням пошкодженості матеріалу Head Bazhenov Viktor Andriyovich, Registration Date 29-01-2007 Organization Kiev National University of bildiny and tecture popup.description2 Сurrent methods is analyzed and new technique of construction of borders of elastic systems' dynamic stability areas is considered under stochastic stationary and periodic nonstationary parametric excitation. The boundaries of dynamic regions of stability are constructed with regard to moment functions. Differential equations for this functions are based on using the Stratonovich-Khasminskii method of averaging for stochastic differential equations. In the course of researches the new effective methods and algorithm of numerical analyses of process non-linear deforming of thin-walled and solid construction at static and dynamic loads with a different nature were created and approved. On the base of uniform calculated model the combined algorithm of a numerical research of processes of geometrically nonlinear deformation, stability and supercritical behavior of thin inhomogeneous shells at an operation of static temperature and force loads was developed. Technique of self-correcting characteristic ofstability task solution algorithm and technique of detection and analysis of singular points of a solution were built. The methodology and structured system of a research of the process of high-speed deformation of shells' constructions at impulse high-power actions were developed. The mathematical modelling is founded on the offered mechanical model of an elastic-plastic behaviour of shells in view of velocities of strains. The technique of problem solving is founded on application of a principle time-temporarily decomposition. For space discretization the moment's schems of a finite element method with various aspects of finite elements is used. For temporal discretization - methods of the open score under the explicit or implicit finite difference circuits schemes. An effective technique and algorithm of modelling of spatial stress-strained state evolution of complex form bodies of the at static and temperature loadings at presence of irreversible deformations of plasticity and creep in view of damageability of a material has been developed. The multinet algorithm on quasiregular finite element models of spatial structures described. Reliability and efficiency of the developed algorithm is proved on test examples. Product Description popup.authors popup.nrat_date 2020-04-02 Close