Dynamic analysis of multi-level optimization structures considering multiple working conditions

Abstract To address the lightweight and performance co-design requirements of aerospace engine load-bearing components under multiple working conditions, this study proposes a multi-level structural optimization method based on the Analytic Hierarchy Process (AHP). A gimbal mount is selected as the research object for design validation. First, single-condition topology optimization is performed to obtain material distribution patterns under individual conditions. By integrating AHP to quantify multi-condition weights, the multi-objective problem is transformed into a single-objective optimization. Variable-density lattice materials are filled within the topological configuration, achieving a 55.7% mass reduction in the gimbal mount. Dynamic mechanical validation using ABAQUS demonstrates that the optimized structure exhibits reduced first three natural frequencies in random vibration environments, with resonance stress peaks below the material yield strength, meeting engineering requirements for dynamic adaptability. This research provides theoretical and technical references for the lightweight design of aerospace structures under complex multi-condition scenarios.