A parallel parameterized level set method for large-scale structural topology optimization under design-dependent load

This paper proposes a topology optimization framework for three-dimensional continuum structures subjected to design-dependent loads, including gravity, centrifugal, and hydrostatic pressure loads. First, this study utilizes the parameterized level set method (PLSM) with unstructured meshes to effectively handle complex structural shapes and boundary conditions. Second, this work employs parallel computing techniques and uses the shape function as the basis function in PLSM to significantly enhance computational efficiency. Additionally, this study comprehensively analyzes design-dependent loads and addresses topology optimization of large-scale structures under complex load conditions. This study overcomes the lack of research on complicated 3D design-dependent load problems. It aims to broaden the application of topology optimization techniques, making them more applicable to engineering practices, such as large-scale underwater structures. Finally, several 3D examples demonstrate the proposed framework’s efficiency, stability, and ability to generate innovative structural designs.