中文摘要：

研究模拟低压转子的动力学响应及支承优化问题。首先基于发动机模拟低压转子，建立弹性支承．两端带挤压油膜阻尼器的双盘转子动力学模型，推导其运动微分方程。对该动力学方程组，采用数值方法进行求解，得到其响应。转子系统的支承刚度对于其动力学响应影响很大，为了减小振动，采用多岛遗传算法与序列二次规划算法对转子系统的支承进行了多目标优化，得到了在工作转速下支承的最佳刚度。

英文摘要：

The dynamical response of a low-pressure rotor in an aero-engine and the optimization of its supports were investigated. Based on the model of the low- pressure rotor, a dynamically simplified model of a double- disk rotor with squeezed oil-film dampers （SFD） at both ends was established. Its kinetic equations were derived, The numerical method was applied to solve these differential equations and the responses of the rotor were obtained. To reduce the vibration of the rotor, the stiffness of the elastic supports of the rotor needed to be optimized. The Multi-Island Genetic Algorithm and Sequential Quadratic Programming were applied to realize the multi-objective optimization and the best stiffness of the two supports was obtained.