Study On Regularization Geometric Structure Reconstruction Method Based On Topological Optimization Configuration

As the core design concept of modern industrial design,lightweight design is widely used in aerospace,robotics,automotive,and other fields.Therefore,topology optimization technology emerged as the times require.However,the force transfer path boundaries generated by topology optimization algorithms are usually curves,and the surface quality of the model is poor.Although it can meet personalized needs such as 3D printing,it cannot be directly used for batch production and manufacturing.To achieve mass production and manufacturing,it is necessary to solve the problem of replacing "straight" with "curved" topology optimization schemes on the premise of ensuring performance.Therefore,how to efficiently and automatically convert topological structures into parametric geometric models is a hot and difficult issue in the field of structural optimization in mechanical design.To address this issue,this paper proposes a boundary regularization reconstruction method based on continuum topology optimization.The research content is as follows:(1)This paper analyzes the basic principles and mathematical basis in geometric modeling and design,conducts in-depth research on the molding principles and technical methods of geometric reconstruction,analyzes the technical advantages and shortcomings of planar and spatial topological model reconstruction methods,and proposes a research idea for geometric model reconstruction based on boundary regularization reconstruction.(2)A linear boundary geometric reconstruction method for topological optimization of two-dimensional continuum structures is proposed.Define the unit vector and study the vectorization representation method of topological structure boundaries;Introducing vector change rate and vector path curvature matrix to automatically judge the curvature degree of geometric boundaries;The concept of element structure for vector boundaries is proposed,and an algorithm for automatically identifying and extracting key nodes of boundary shapes is established to achieve boundary regularization and reconstruction of 2D models.(3)A boundary geometric reconstruction method for topological optimization of 3D continuum structures was created.A one-way slicing method is established to analyze the geometric characteristics of each layer’s cross section from the cross-sectional profile of the topological structure,establish criteria for extracting the skeleton nodes of the cross section,and form a nonlinear fitting method for vectorized skeleton reconstruction of the topological structure.Finally,a regularized reconstruction model is quickly generated through 3D modeling features in commercial software.(4)The feasibility and effectiveness of the reconstruction methods for two-dimensional and three-dimensional geometric models are verified.Using finite element simulation experiments and physical experiments,the structural mechanical properties of twodimensional and three-dimensional reconstructed models were tested,and compared with the mechanical properties of the original topology model.The differences in mechanical properties between the reconstructed model and the original model were analyzed,verifying the authenticity and effectiveness of the proposed reconstruction methods.The regularized geometric structure reconstruction method based on topology optimization configuration proposed in this paper effectively solves the problems of difficulty and low efficiency in modeling based on topology optimization results.The advantage of this article is that it can automatically interpret topology results,generate boundary regularization geometric reconstruction models,and greatly reduce the time required for parametric CAD design.This method will provide practical and efficient geometric structure design methods for industries 4.0,intelligent manufacturing,mechanical design,and other fields.