基于序贯代理模型的转子系统频响特性区间分析方法

在转子系统的频率响应分析中，不确定性广泛存在，并且对分析结果有较大的影响。本文提出了一种面向含区间不确定性转子系统频响分析的序贯代理模型方法。基于区间数学以及转子动力学理论，本文首先建立了含区间参数转子系统频响的控制方程。基于传统的静态代理模型提出了面向转子系统区间分析的序贯代理模型方法。该方法首先通过叫少量的样本点构造粗糙代理模型，再提出了两个指标函数进行下一阶段的选点。重复该过程，直到满足收敛条件，最终可以得到转子系统频率响应的精细代理模型，进而得到区间边界。和传统的区间分析方法相比，该方法精度高，适合非线性问题。

Frequency analysis for rotor system with interval parameters based on sequential surrogate method

Uncertainties wildly exist in rotor systems, and have considerable influence on frequency analysis results. This paper proposes a sequential surrogate method (SSM) for frequency analysis of rotor systems with interval parameters. Based on interval mathematics and theory of rotor dynamics, this paper first establishes the governing function of rotor dynamic system with interval uncertainties. The SSM is presented based on the traditional static surrogate model. The method build coarse surrogate model based on small amount of samples. Then, two functions are introduced to guide the sampling. After iterations, a refined surrogate model can be obtained and interval of frequency response can be calculated accordingly. Compared with traditional interval analysis methods, this method has a higher accuracy and is suitable for highly nonlinear problems.