基于极值响应面法的叶片变形可靠性分析  

Reliability Analysis of Blade Deformation Based on Extremum Response Surface Method

作　　者：孙田 张春宜[2] SUN Tian;ZHANG Chunyi(Harbin Metro Group Co., Ltd., Harbin 150080, China;School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin 150080, China)

机构地区：[1]哈尔滨地铁集团有限公司,哈尔滨150080 [2]哈尔滨理工大学机械动力工程学院,哈尔滨150080

出　　处：《机械工程师》2019年第5期33-35,39,共4页Mechanical Engineer

摘　　要：为了提高航空发动机叶片动态可靠性分析的计算精度与计算效率,提出了一种极值响应面法。综合考虑温度载荷、机械载荷的共同作用,通过确定性分析找到叶片的最大变形点。然后,以叶片的材料密度、转速、温度、气动压力作为输入随机变量,随机小批量抽取输入随机变量样本,并对每个样本求解有限元基本方程,得到对应的变形在分析时域内的动态输出响应。取各组动态输出响应在分析时域内的全部最大值及其对应的输入随机变量作为新的样本点,构造极值响应面函数(ERSF)。最后,应用蒙特卡罗法对输入随机变量进行大批量抽样并带入ERSF计算输出响应,获得叶片的动态可靠性指标。通过方法对比表明,ERSM有很高的计算精度与计算效率。To improve the computational accuracy and computational efficiency of the dynamic reliability analysis of the aeroengine blade, a method of extremum response surface method (ERSM)is proposed. Considering the common effect of temperature load and mechanical load, the maximum deformation point of blade are found by deterministic analysis. Then, the density, rotor speed, temperature and gas pressure of blade are taken as input random variables. The input random sample is small sampled and the finite element basic equation is solved for each sample, and their corresponding dynamic output response of the deformation is obtained within the analysis time domain. By taking the entire maximum values of the dynamic output response in the analysis time domain and its corresponding input random variable as new sample points, the extremum response surface function (ERSF)is established. The Monte Carlo method is used to sample the input random variables in large quantities and substitute the ERSF to calculate the output response, and obtain the dynamic reliability index of the blade. The comparison of methods shows that ERSM has high calculation accuracy and computational efficiency.

关 键 词：叶片变形 极值响应面 蒙特卡罗 动态可靠性 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]