Zelentsov D. Models and methods of problems solution on Structural Mechanics of constructions with the varied geometrical characteristics

It is established that the successful and effective solution of Structural Mechanics problems with the varied geometrical characteristics requires considerable adaptation and without new models and methods of calculations. Some new specified mathematical models of the process of geometrical damages accumulation are created. New effective half-analytical algorithms of durability problems solution are constructed and founded. The modified finite elements of variable rigidity permitting higher order approximation for the functions of geometrical characteristics are created. New models of optimal designing of corroding constructions by the criterion of materials consumption at restrictions of durability are offered as well as the methods of their realization on the basis of the adapted method of sliding tolerance. Mathematical, algorithmic, and software support is developed and founded. Within the framework of it numerical illustrations of durability and optimization calculations of corroding constructionsare executed. The appropriate parametrical analysis is carried out.