A level set topology optimization design method considering structural size constraints

By identifying the structural skeleton through the symbolic distance function and morphological operations, and combining the velocity field level set model and MMA algorithm, the problem of not considering structural size constraints in topology optimization is solved, and the accurate calculation of structural size and the manufacturability of optimized design are realized.

CN117034511BActive Publication Date: 2026-07-24HUAZHONG UNIV OF SCI & TECH
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Patent Information

Application Number
CN202310682650.8
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-06-09
Publication Date
2026-07-24
Estimated Expiration
2043-06-09

AI Technical Summary

Technical Problem

Existing topology optimization design methods fail to effectively consider structural size constraints, leading to manufacturing difficulties or requiring extensive modifications, and making it impossible to directly process the optimization results.

Method used

The central axis is identified by the signed distance function, and the skeleton is filled and refined by morphological operations. A topological optimization model of the velocity field level set is established, and material usage, maximum size and minimum size constraints are introduced. The Hadamard boundary variational method and MMA algorithm are used for iterative updates until the optimization design results converge.

Benefits of technology

It achieves accurate calculation and optimization of structural dimensions, meets manufacturing constraints, improves the stability and convergence speed of the algorithm, and ensures the manufacturability of the optimization results.

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Abstract

The present application belongs to the technical field of structural topology optimization, and discloses a level set topology optimization design method considering structural size constraints. The method comprises the following steps: S1, for a to-be-optimized structure, identifying a center axis in the to-be-optimized structure as a coarse skeleton of the to-be-optimized structure, performing morphological operation on the coarse skeleton to obtain a fine skeleton, calculating the nearest distance from each point in the to-be-optimized structure to the fine skeleton to obtain a distance field, and constructing a maximum size constraint and a minimum size constraint of the to-be-optimized structure according to the distance values in the distance field; S2, taking the minimum flexibility of the to-be-optimized structure as the target, and taking the volume constraint, the maximum size constraint and the minimum size constraint of the to-be-optimized structure as the constraint conditions, establishing a velocity field level set topology optimization design model, and solving the optimal solution of the model to realize the level set topology optimization of the to-be-optimized structure. Through the present application, the maximum and minimum sizes of the to-be-optimized structure are effectively controlled, and the manufacturability of the optimization design result is increased.
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