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为描述航空发动机涡轮叶片径向位移的变化规律,改善叶尖间隙设计和控制的合理性,考虑多种随机变量,融合有限元和响应面方法进行了叶片径向变形的概率分析。通过对涡轮叶片在典型载荷下的热分析和结构分析,计算出叶片变形随时间的变化规律,并找出最大位移点作为概率分析的计算点;在计算点处考虑热载荷和离心载荷作用,结合响应面拟合蒙特卡洛法计算出了危险点处的叶片径向变形的分布概率和符合设计要求的可靠度,并分析了影响间隙量的随机因素的灵敏度。结果表明:叶片径向变形量和安全变形概率基本符合设计要求;影响叶片径向位移变化的主要因素是温度、转速和质量。
In order to describe the variation regularity of radial displacement of aeroengine turbine blade and improve the rationality of the design and control of tip clearance, a probabilistic analysis of blade radial deformation is carried out considering various random variables, the finite element method and the response surface method. Through the thermal analysis and structural analysis of the turbine blade under typical loads, the variation law of blade deformation with time is calculated, and the maximum displacement point is calculated as the calculation point of probability analysis. At the calculation point, the thermal load and centrifugal load are considered, Combining the response surface fitting Monte-Carlo method, the distribution probability of blade radial deformation and the reliability meeting the design requirements were calculated, and the sensitivity of random factors affecting the amount of clearance was analyzed. The results show that the blade radial deformation and the safety deformation probability basically meet the design requirements. The main factors affecting the blade radial displacement are temperature, rotation speed and mass.