Abstract
The article presents a comparative analysis of the effectiveness of the use of finite elements of various dimensions in the study of the stress-strain state (SSS) of objects of the agro-industrial complex (AIC). To determine the strength parameters of the AIC objects, which can be attributed to the class of thinwalled, it is proposed to use a two-dimensional finite element in the form of a fragment of the middle surface of a triangular shape with nodes at its vertices. To improve the compatibility of a two-dimensional finite element at the boundaries of adjacent elements, it is proposed to use the Lagrange multipliers introduced in additional nodes located in the middle of the sides of the triangular fragment as additional unknowns. It is proposed to use a three-dimensional finite element in the form of a prism with triangular bases to study the SSS of agricultural objects of medium thickness and thick-walled. To improve the compatibility of the prismatic element, Lagrange multipliers in the middle of the sides of the upper and lower bases are also used. On the example of calculating a fragment of a cylindrical pipeline rigidly clamped at the ends loaded with internal pressure, the effectiveness of the developed two-dimensional and three-dimensional finite elements with Lagrange multipliers was proved. The validity of the use of a twodimensional element for researching the SSS of agricultural objects belonging to the class of thin-walled was proved.
Highlights
The agro-industrial complex (AIC) is one of the highest priority areas for the development of the economy of our country
The construction and trouble-free operation remains quite relevant despite a wide selection of finite element computing systems, mainly foreign ones, the task of developing and improving domestic computing algorithms for determining the strength parameters of AIC objects for their rational design
In order to solve the problem of determining the strength parameters of AIC constructions in a three-dimensional formulation (Fig. 3), it is proposed to use a finite element in the form of a prism with a triangular base with nodes i, j, k, m, n, p located at its vertices
Summary
The agro-industrial complex (AIC) is one of the highest priority areas for the development of the economy of our country. In line with the policy of import substitution, a course has been taken to intensify agricultural production, which provides for the construction of new and reconstruction of existing engineering systems and agricultural facilities Such systems and objects include irrigation, watering, drainage and drainage systems, tanks, bunkers, storage, silos and other structures, the need for which will only grow At the same time, considerations of material and resource conservation necessitate the development of modern computing technologies to determine the strength parameters of the aforementioned systems and AIC facilities. Such technologies include numerical methods for determining the stress-strain state (SSS) of systems and objects [1–9], in particular, the finite element method (FEM) [10–16]. The article presents a comparative analysis of the effectiveness of the use of finite elements of various dimensions in determining the SSS fragments of agribusiness systems
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