Modeling a Synthesized Element of Complex Geometry Based upon Three-Dimensional and Two-Dimensional Finite Elements

Yakupov, S. N.; Kiyamov, H. G.; Yakupov, N. M.

doi:10.1134/s1995080221090316

Cited by 9 publications

(1 citation statement)

References 7 publications

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“…Дальнейшее развитие сплайнового варианта МКЭ -разработка численной модели синтезированного элемента сложной геометрии на базе трехмерных элементов с кубической аппроксимацией искомых переменных во всех трех направлениях рассматриваемой области и двумерных элементов с кубической аппроксимацией искомых переменных по ее граням. Разработанные модели позволяют определять НДС многослойных [49] и тонкостенных элементов с тонким поверхностным покрытием (рис. 6) [50].…”

Section: подходы расчета тонкостенных конструкций сложной геометрииunclassified

Diagnostics of thin-walled structures of complex geometry and structure

Yakupov

2021

Struct. Mech. of Eng. Const. and Build

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The main stages of the birth of thin-walled structures, changes in their relative thickness and mass of a unit area are given; ways of creating perfect thin-walled structures are indicated. The problems arising during the operation of thin-walled structures of complex geometry, as well as approaches and methods of their calculation are noted. To ensure trouble-free operation of a thin-walled structure with a thin-layer coating, under load and exposed to physical fields and environments, it is necessary to correctly diagnose the condition of structural elements. The spline variant of the finite element method in two-dimensional (SV FEM-2) and three-dimensional (SV FEM-3) productions is noted, as well as the synthesis of these variants - SV FEM-2 + SV FEM-3. The combination of the idea of parametrization of the entire domain and approximation of the desired variables within the element by Hermitian cubic splines makes it possible to obtain high-precision consistent finite elements. The developed variants of the finite element method make it possible to evaluate the stress-strain state of structures of complex geometry, including the calculation of multilayer, thin-walled structures with coating and local defects, as well as to take into account specific surface properties other than those of the main array. Studies of stress concentration near local depressions are considered. Two-dimensional experimental and theoretical methods are noted for evaluating the stiffness properties and adhesion of thin-walled, thin-layer and composite structural elements of complex structure, which, along with a distributed complex structure, may have distributed defects. The developments were used in solving specific tasks of a number of enterprises.

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Section: подходы расчета тонкостенных конструкций сложной геометрииunclassified