多级多重模态减缩策略及其在转子系统动力学 特性分析上的应用
A multi‑stage hybrid modal reduction strategy and its application to rotor dynamics analysis
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摘要: 航空发动机转子部件众多,多部件高维复杂系统计算量大,导致动力学分析困难、计算时间长,进而影响转子 结构设计和动力学验证的效率。基于部件模态综合方法,提出一种针对多部件高维复杂系统降维计算的多级模态 减缩策略。对每个单独的子结构利用固定界面模态减缩,并行减缩各子结构的内部自由度,同时完整保留子结构间 的耦合关系。通过子结构组合定义新一级的子结构,应用多级模态减缩策略提升降维减缩效果,结合多重模态减缩 方法,构建界面分支模态,可显著降低转子有限元模型的维数,同时保留关键子结构的动力学特征和系统整体关键 动力学特性。此计算策略被用于某弹用发动机转子系统低维减缩模型的建立,利用减缩模型提升了转子动力学分 析的效率,加速轴承刚度参数的优化设计。研究结果表明,与 ANSYS 计算相比,转子动力学分析所需时间降低了 99.5%,精度误差不超过 0.1%,该计算策略可用于多部件高维复杂系统的快速分析。Abstract: The large number of aero-engine rotor components and the large computational volume of high-dimensional complex models lead to difficult dynamic analysis and long computation times, which are disadvantageous to the efficiency of rotor structure design and dynamics verification. Based on the component modal synthesis method, a novel multi-stage modal reduction strategy is proposed for the modal reduction of a large complex system with many components. The internal freedom degrees of each substructure are reduced in parallel using fixed interface modal reduction, while the couplings between the substructures are retained completely. By defining a new level of substructure through substructure combination, the multi-stage modal reduction is applied to an additional reduction, and the hybrid mode synthesis is subsequently combined to construct the branch mode and significantly re? duce the dimensionality of the rotor FEM model. Meanwhile, the dynamic characteristics of key substructures and the key dynamic characteristics of the vibration system are preserved. This computational strategy is used to establish a low-dimensional reduced model of a missile engine rotor system, and the reduced model is used to improve the efficiency of rotor dynamics analysis and ac? celerate the design optimization of bearing stiffness parameters. The results show that the time required for rotor dynamics analysis is reduced by 99.5%, and the accuracy error does not exceed 0.1% compared with ANSYS calculations. The computational strate? gy can be used for rapid analysis of multi-component high-dimensional complex systems.