航空发动机转子系统动力特性的非概率分析

运用一种非概率-区间方法来对转子动力特性进行分析.基于区间数学和摄动理论的区间分析方法将不确定参数支承刚度和连接结构刚度视为区间向量,运用区间摄动法建立了转子系统固有频率的公式,分别应用区间摄动法和组合法对数值算例进行分析,并比较结果,验证了方法的有效性.结果表明:与确定性方法相比,运用区间摄动法能够较准确地进行转子动力特性分析,降低了传统的概率分析方法对不确定参数信息的过多要求,不需要确定参数的概率分布.

Non-probabilistic analysis on aero-engine rotordynamics

A non-probabilistic-interval analysis method,which solves the rotordynamics with these uncertain parameters,was presented.Based on interval mathematics and perturbation method,interval analysis method simplified the uncertain parameters such as support stiffness and connecting structure stiffness to interval vectors,so that it could get the intervals within which the rotordynamics varied when less information of structure was known.The formulation of natural frequencies of rotor using interval perturbation analysis method was formulated.A numerical example of comparison between interval perturbation method analysis and monotonic method was given.The rotordynamic analysis of a turbofan rotor was performed with this method.The present interval perturbation method is more accurate than determined method in rotordynamic analysis,and it decreases the requirement of uncertain parameters,such as distribution characteristic.