Approaches to creating precise geometric models of steel wire ropes in the Gmsh environment using the OpenCascade Core Technology engine

Khoroshev A.S., Puzin V.S., Shchuchkin D.A., Khorosheva E.V.
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A review of the problems of preparing accurate geometric models of steel ropes based on mathematical models without significant simplifications, taking into account the intended purpose of the model, is carried out. Possible approaches to the generation of precise geometric models of steel ropes that have no fundamental limitations on their integration in computational domains and the subsequent construction of finite element models based on them are shown. A generalized parameterized geometric model of single and double twist ropes and its algorithmic implementation using the OpenCASCADE Core Technology geometric modeling kernel in the Gmsh environment (open source software) is considered. The problems of using generic tabular data from steel rope assortment standards as initial data for constructing geometric models are considered. Methods of preliminary verification of collisions of a geometric model based on the initial data of a geometric model are given. Post-verification methods based on Boolean operations over rope wire bodies are given to identify incorrect results of generating models of wire bodies with curvilinear side surfaces based on the algorithm of sequential hierarchical construction of individual wires of single strand and sequential copying of it. Various methods of the process of constructing geometric models of rope wires by extrusion are shown: through a sequence of generatrix with the formation of a body limited by curvilinear surfaces, through a sequence of generatrix with the formation of a body limited by linearly approximated surfaces, and extrusion of one generatrix along a single guideline. The computational complexity of the geometric model generation and the required volume of RAM for the two most universal methods of creating a body of wire are investigated. A method for estimating the value of the step of the arrangement of the generatrix of a single wire is shown, and the influence of its value on the computational complexity of the procedure of wire construction is investigated. Recommendations are given for choosing the value of the radial gap between the layers of wires. An algorithmic implementation of the method for searching for collisions of a geometric model of a steel rope in a non-interactive mode is shown. Approaches to the formation of procedures for processing collisions are proposed. Approaches presented in the article can be implemented in the form of software modules for execution in the Gmsh environment, as well as for another environment using the OpenCascade Core Technology geometric modeling kernel. Such modules allow automation of the construction of accurate geometric models of steel ropes in any configuration without fundamental restrictions on subsequent use, both stand-alone and in the form of objects (primitives) suitable for integration in a third-party model.

Keywords: steel wire rope, geometric model, extrusion, boolean operations, finite element method
Citation in English: Khoroshev A.S., Puzin V.S., Shchuchkin D.A., Khorosheva E.V. Approaches to creating precise geometric models of steel wire ropes in the Gmsh environment using the OpenCascade Core Technology engine // Computer Research and Modeling, 2024, vol. 16, no. 6, pp. 1399-1415
Citation in English: Khoroshev A.S., Puzin V.S., Shchuchkin D.A., Khorosheva E.V. Approaches to creating precise geometric models of steel wire ropes in the Gmsh environment using the OpenCascade Core Technology engine // Computer Research and Modeling, 2024, vol. 16, no. 6, pp. 1399-1415
DOI: 10.20537/2076-7633-2024-16-6-1399-1415
URL: http://crm-en.ics.org.ru/journal/article/3544/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

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