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Constraint-free length scale control for topology optimization using the velocity field level set method
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DOI：10.1007/s00158-025-03971-7.png)
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Abstract
En 中文
The length scale limitation is an important issue of the structural manufacturability. It is usually involved in the topology optimization by introducing geometrical constraints or projections on design variables. This paper proposes a novel topology optimization method with a constraint-free length scale control strategy utilizing the velocity field level set framework. The local length scale of structural members is represented by using the skeleton based on the signed distance property of the level set function. Then, a length scale control strategy is proposed by adjusting the velocity design variable bounds to drive the structural local sizes to the required values in the velocity field level set method, leading to no additional constraints or penalty functions involved. The topological derivative is also introduced to eliminate the dependency on the initial design. Utilizing the level set model achieves clear/smooth material boundaries and facilitates the length scale representation. Moreover, the proposed method provides an efficient way to perform optimization designs directly in the feasible domain meeting the length scale limitations. The constraint-free strategy greatly simplifies the sensitivity analysis, numerical implementation, and iteration convergence in the optimization process, especially when considering multiple length scale limitations.
Keywords:
Topology optimization design
Length scale control
Velocity field level set method
Manufacturability
Implicit representation
Journal
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4
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