High-fidelity vector diagram conversion method for pixel type topological optimization result

Abstract

The invention discloses a high-fidelity vector diagram conversion method for a pixel type topological optimization result, and the method comprises the steps: constructing an intra-unit continuous pseudo-density field on the basis of the grid description of an implicit structure model, and identifying the coordinates of a topological boundary sampling point; carrying out cubic spline curve fitting on the basis of the sampling points so as to form a boundary explicit expression of the implicit topological structure; the explicit geometric description obtained through the method can be seamlessly connected with a CAD system, unification of a design result and a machining structure is achieved, and later-stage further design optimization of engineering designers is facilitated.

Description

technical field [0001] The invention belongs to the field of topology optimization design, and in particular relates to a high-fidelity vector diagram conversion method of pixel topology optimization results. Background technique [0002] Topology optimization is a method to find the appropriate material distribution in the design domain to achieve the optimal structural performance under given constraints. In the design field of continuum topology optimization, the solid isotropic material with penalty (SIMP) method is most commonly used. The basic idea of ​​this method is to discretize the design domain into grid cells, and introduce each cell into a The pseudo-density value indicating the presence or absence of material, by constructing the corresponding relationship between the pseudo-density value and the element stiffness, transforms the material distribution problem into the element pseudo-density value to solve the optimization problem. Since the pseudo-density valu...

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Problems solved by technology

Since the pseudo-density value varies between 0 and 1, the resulting unit cannot be guaranteed to converge completely to 0 or 1, resulting in a topology that is a grid pixel representation with intermediate densities; this implicit structural boundary description The manufacturability of the method is poor. This kind of topology optimization method that implicitly describes the structure will cause the following two problems: the lack of parametric geometric information makes it difficult to accurately control the size of the structure, which is not conducive to manufacturing; the implicit expression of the structure leads to the design result information It cannot be directly transferred to the CAD system, which is not convenient for designers to process later

[0003] The implicit topology description obtained by the SIMP method is different from the explicit expression based on geometric feature parameters in the CAD system. Due to the lack of exact geometric information in the implicit expression, accurate modeling cannot be completed, so the stroke based on subjective experience is often used. Post-processing method; this processing method leads to geometric differences between the processed structure and the design results, and it is difficult to achieve the expected application effect

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