Stiffness and strength topology optimization for bi‐disc systems based on dual sequential quadratic programming

Abstract

AbstractAiming at solving the lightweight design problems for bi‐disc systems with consideration of the stiffness and strength simultaneously, a two stage topology optimization framework based on independent continuous and mapping (ICM) method is developed. First, topology optimization formulations are established to guarantee the optimized design satisfying the key nodal displacement and stress constraints. Second, an information function is introduced to realize the transformation of the material properties between elements and components. Composite exponential filter functions are selected to establish the relationship between the properties of elements and corresponding topology design variables. Third, approximate explicit quadratic programming model is obtained by the sensitivity analysis and Taylor expansion. In the process of solving, the duality theory is used to establish the approximate dual model with less design variables. Finally, a series of topology optimization design problems for bi‐disc systems are presented and discussed to illustrate the robustness and feasibility of the method. This study finds some new torsional bi‐disc designs and can also provide some theoretical references for the lightweight topology optimization of a multicomponent system.