论文部分内容阅读
针对航空发动机高压转子系统动力学模型,给出了一种模型可逆化简化的方法.首先采用有限元法建立了较为精确的动力学模型,然后基于质心集中方法对该模型进行了不同程度的简化,分别得到了单跨双盘模型和单盘模型,并将其与原始模型进行了临界转速的对比.这是一种从结构特点将实际多盘转子简化成单盘转子的方法,它使得在考虑到支承等非线性因素后利用低维非线性动力学理论进行分析和参数优化成为可能.另一方面,研究了模型简化方法的可逆性,即基于质心位置及总质量最优的原则,由单跨双盘模型的圆盘结构参数反推了多级圆盘的等效内外半径、厚度、位置等参数,构建了新的工程结构模型,对比该模型和原始模型的前3阶临界转速,误差均在3%之内.这种由简化模型参数反推多级圆盘的方法,为由非线性动力学理论优化分析所得到的简化模型优化结构参数反推设计多级圆盘工程结构参数奠定了基础.
Aiming at the dynamic model of aero-engine high-pressure rotor system, a method of model simplification is presented.Firstly, the finite element method is used to establish a more accurate dynamic model, and then the model is simplified to some extent based on the centroid concentration method , Single-span double disc model and single disc model are respectively obtained and compared with the original model for the critical speed, which is a method of simplifying the actual multi-disc rotor into a single disc rotor from structural features, Considering the nonlinear factors such as support, it is possible to analyze and optimize the parameters by using the low-dimensional nonlinear dynamics theory.On the other hand, the reversibility of the model simplification method is studied, that is, based on the principle of the centroid position and the total mass, Single-span double-disc model of the structural parameters of the disc backdrag multi-stage disc equivalent inner and outer radius, thickness, location and other parameters to build a new engineering structure model, compared with the model and the original model of the first three critical speed, The errors are all within 3% .This method of simplifying the model parameters backstepping multi-stage disc is a simplified model optimized structure obtained from the nonlinear dynamic theory optimization analysis Parameters of multi-stage design of reverse engineering disc structure laid the foundation.