Locally analytical method of deformed elements state analysis

Аuthors

Korovaycev A. V.^1*, Korovayceva E. A.^2*, Fedotenkov G. V.^3**

1. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
2. Bauman Moscow State Technical University, MSTU, 5, bldg. 1, 2-nd Baumanskaya str., Moscow, 105005, Russia
3. ,

*e-mail: Rus_Region@mail.ru
**e-mail: greghome@mail.ru

Abstract

A modified locally-analytical method for resolving boundary problems is proposed for linear models of deformable elements oj aerospace systems expressed in terms of vectors and matrices. This method makes use of main postulations of grid functions theory, conjugated differential equations, cyclic matrix. This allows obtaining analytic form of integral matrices which is not dependent on inversion of fundamental matrices. The method can be used as a substitute for the usage of grid functions. One of examples of an illustration of possibilities of the method is resulted, allowing to judge its efficiency with reference

Keywords:

: the analysis of stressed-strained state, boundary problems, integral matrices, cyclic matrix, locally-analytic solutions, comparative analysis.