Advancements in Lightweight Structure Design: Proportional Topology Optimization and Isogeometric Analysis

This paper presents a recent overview of the advancements in lightweight structure design through the integration of proportional topology optimization (PTO) and isogeometric analysis (IGA). IGA-based non-uniform rational B-spline (NURBS) basis functions are employed to correctly represent the geometry, displacement, and density fields of material. The mathematical method of PTO is described with a material scheme. IGA employs NURBS basis functions described to accurately represent geometry, displacement, and density fields of material. Examine the computational efficiency between isogeometric and finite element methods. The effective performance of PTO addresses minimal compliance problems and reduces computing time. PTO is evaluated under control parameters of penalty factor, filter radius, and different mesh size. The PTO algorithm results are a comparative analysis of conventional solid isotropic material with penalization (SIMP) and modified solid isotropic material with penalization (MSIMP) methods, highlighting the advantages of PTO in achieving optimal material distribution, higher convergence rates, and improved computational efficiency.