双盘转子系统动力特性分析及优化设计

Dynamical Characteristics Analysis and Optimization of a Two-Disk Rotor System

关键词:  双盘转子  多自由度  非线性  优化设计

Key words:  Two-disk rotor  Multiple degrees of freedom  Nonlinear  Optimization design

摘要:

为了减小双盘转子系统的整体振动，对居中盘位置进行了优化。建立了带悬臂和居中双盘转子系统的八自由度力学模型和运动微分方程，利用Simulink动态仿真系统计算了加速情况下的转子瞬态响应以及双盘转子系统稳态响应的轴心轨迹，分析研究了转速、两盘偏心及其相位角、两盘质量比等对系统响应的影响。利用多学科设计优化软件Isight，采用最优拉丁超立方设计(Optimal Latin Hypercube Design，Opt. LHD)算法和多岛遗传算法(Multi-Island Genetic Algorithm)，以双盘扰度均最小为优化目标，以居中盘的位置为优化变量进行了优化，优化后悬臂盘的扰度下降44.6%，居中盘的扰度下降79.9%。

Abstract:

In order to reduce the overall?vibration?of a two-disk rotor system，the position of the midspan disk was optimized. Firstly，the dynamical simplified model of the two-disk rotor system with eight degrees of freedom was built and the differential equations of motion were derived. The transient response at acceleration condition and the axis traces at steady response of the two-disk rotor system were simulated by the Simulink dynamical simulation system. The effects of some parameters，such as，rotating speed，eccentricity and its phase angle，mass ratio of two disks，on the system response were analyzed. Then，system optimization was carried out with the Optimal Latin Hypercube Design and Multi-Island Genetic Algorithm by the multidisciplinary design optimization software Isight，in which the deflections of the overhung and midspan disks were the optimization objectives and the position of the midspan disk was the design variable. The optimization results indicate that the deflection of the overhung disk is reduced by 44.6% and the deflection of the midspan disk is reduced by 79.9%.