Dynamic layout optimization of truss subjected to a time-dependent load by isogeometric-analysis-based stiffness spreading method
Year: 2026
Type: article
Abstract: An innovative and efficient truss layout optimization framework under the transient load is proposed based on the isogeometric analysis-based stiffness spreading method (IGA-based SSM), integrated with the proper orthogonal decomposition (POD). The IGA-based SSM is featured with a small number of truss elements independently moving in weak IGA background grids to represent the truss layout during optimization, without considering the connectivity of the truss elements, and hence a low computational cost due to few design variables. We use the IGA-based SSM to spread the stiffness, mass and damping matrices of a truss element to weak IGA background grids, according to energy conservation. As such, its shape and size can be simultaneously optimized during dynamic layout optimization of truss. For achieving additional savings in computational cost, the POD procedure with incremental singular value decomposition (SVD) is leveraged to reduce the primal and adjoint equations. To mitigate the consistent error in the sensitivity computation, the reduced adjoint equation is constructed based on the “discretize-then-differentiate” approach. Moreover, we tackle the computational cost and scalability of the reduced order model (ROM) learning and updating phases. Consequently, we can attain the efficient and accurate layout designs of truss by on-the-fly primal and dual reduction, which is verified by 2D and 3D benchmark problems, referring to those obtained from the full order model (FOM).
Source: Results in Engineering
Authors: Xiaoyan Teng, Lingzhi Li, Xudong Jiang, Haijiang Li
Language: English
Subfield: Civil and Structural Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,940
Awards: G7792527281, G942645666
OpenAlex ID: W7135081740