Topology Optimization of Buckling Structures With Size Constraints

ABSTRACT This work delves into the advancement of topology optimization techniques for buckling structures that are subject to size limitations. Conventional density‐based methods are prone to yielding intricate, fine‐scale geometries that are challenging to fabricate. To circumvent this challenge, this work imposes constraints on the density distribution and utilizes aggregation techniques to consolidate local volume constraints into a unified global restriction. This approach ensures a more uniform distribution of material throughout the structure, thereby reducing material clustering, avoiding excessively thin layers, and enhancing both the manufacturability and structural performance. Numerical examples are employed to optimize the topology of buckling structures with varying size constraint parameters. The optimization outcomes demonstrate that the proposed methods are capable of effectively achieving optimal topologies that exhibit enhanced stability and strength while adhering to the specified size constraints.