Two-dimensional topological optimization result geometric reconstruction method

Abstract

The invention discloses a two-dimensional topological optimization result geometric reconstruction method and belongs to the field of two-dimensional topological optimization result contour recognition and fitting technologies. According to the method, first, the contour recognition technology is utilized to obtain a boundary matrix of a topological optimization result; second, chain codes are utilized to realize tracking and sequencing of boundary points, and differential chain codes are utilized to segment a contour; third, structure response sensitivity of the boundary points is calculated,and interpolation points are screened considering the sensitivity principle and the geometric integrity principle; and last, the screened interpolation points are utilized to perform B spline curve fitting, and control vertexes, node vectors and other important geometric parameters of a spline curve are obtained to realize parametric modeling. The method has the advantages that geometric reconstruction of the topological optimization result with a complicated contour can be realized, the boundary of a reconstruction model is smooth, machining requirements can be met, and a function response error of the model can be actively controlled in the reconstruction process.

Description

technical field [0001] The invention belongs to the technical field of geometric reconstruction of topology optimization results, and in particular relates to a method for geometric reconstruction of contours of two-dimensional topology optimization results. Background technique [0002] Topology optimization is a method for optimizing the distribution of materials within a design domain, which is widely used in mechanical disciplines. Due to the discreteness of the topology optimization design domain, the boundary of the topology optimization result is jagged and not machinable; and the result of topology optimization is a gray-scale concept map, which cannot be directly converted into a parametric model that can be recognized by the CAD system. Therefore, a geometric reconstruction method is needed to meet the manufacturing requirements of topology optimization results. [0003] Patent CN105528485A discloses a method for automatic contour extraction and path generation fr...

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Problems solved by technology

Due to the discreteness of the topology optimization design domain, the boundary of the topology optimization result is jagged and not machinable; and the result of topology optimization is a gray-scale concept map, which cannot be directly converted into a parametric model that can be recognized by the CAD system. Therefore, a geometric reconstruction method is needed to meet the manufacturing requirements of topology optimization results

[0003] Patent CN105528485A discloses a method for automatic contour extraction and path generation from bitmaps, but this method only extracts the contour of the image without accurate parametric expression and error analysis, and has limitations in precision manufacturing and the extraction process requires Manual intervention, not fully automated

[0004] Patent CN201310391023.5 discloses a method for geometric reconstruction of topology optimization results. This method first obtains the surface geometry structure of topology optimization results, then regularizes the contour lines, and finally uses straight lines and arcs to fit the contours to obtain a parametric model, but This method cannot reconstruct topology optimization results with complex geometric features. The reconstruction process does not analyze the functional response error of the reconstructed model, and cannot guarantee the accurate functional response of the reconstructed model.

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