A level set topology optimization design method considering structural size constraints

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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