A high-resolution optimization method for large-scale structural design considering multiple sub-region volume constraints

When using conventional topology optimization methods for structural design, people often have limited means to directly intervene in the design process beyond defining the design domain, non-design domain, and boundary conditions. This limitation arises from their use of a single volume constraint. As a result, the generated designs require iterative recalculations and modifications, often involving component removal or resizing, which reduces efficiency and may compromise structural performance. To address these challenges, this paper proposes a novel High-Resolution Solid Isotropic Material with Penalization (HMV-SIMP) method by integrating multiple local volume constraints and a GPU acceleration strategy into the Solid Isotropic Material with Penalization (SIMP) framework. By applying specific volume constraints to various regions, the new result achieves a compliance increase of less than 7 % compared to conventional SIMP method, while ensuring sufficient safety and generating multiple competitive design alternatives with great structural performance. The HMV-SIMP method allows for the generation of high-resolution material density distributions, providing better insights for architectural design and may enable direct physical implementation through 3D printing. This method provides a flexible tool for directly influencing the topology optimization process, facilitating the fulfillment of complex engineering requirements.