MATHEMATICAL MODELING OF STRESS-STRAIN STATE
OF FLEXIBLE YARNS WITH CONSIDERATION OF PHYSICAL NONLINEARITY 

Tarasov Denis Alexandrovich, candidate of technical sciences, head of department of engineering analysis of structures and protection of intellectual property, Closed Joint-stock company «Center of special engineering constructions of research and design Institute of radio electronic technology», E-mail: den517375@ya.ru
Semenov Dmitry Yuryevich, master, engineer-designer of department of driving and special equipment, ьClosed Joint-stock company «Center of special engineering constructions of research and design Institute of radio electronic technology»,
E-mail: kb@cesis.ru 

624.071.22:531.011 

Background. The object of the study are the main power components of mechanical systems made of flexible threads, working on the perception of lateral loads. Subject of research – the method of mathematical modeling of stress-strain state (VAT) simultaneously takes into account geometric and physical nonlinearity flexible filaments that gives the opportunity to explore work structures beyond elastic behavior of the material.
Materials and methods. The proposed method is based on the theory of mathematical modeling using the apparatus of differential and integral calculus of functions of one and several variables and positions of strength of materials.
Results. The proposed method of nonlinear stress-strain state of flexible filaments taking into account the real properties of materials.
Conclusions. Comparison of parameters of stress-strain state of flexible strands, obtained through computational experiments and also with results obtained by another method of calculation has confirmed the adequacy of the proposed method. 

stress, strain, flexible filament, physical nonlinearity, geometric nonlinearity