基于MATLAB的民航发动机涡轮叶片寿命建模

Life Modeling of Turbine Blades for Civil Aviation Engine Based on MATLAB

针对民航飞机维修工作中发动机涡轮叶片普遍存在故障率较高的问题,收集某型民用航空发动机涡轮叶片的可靠性数据,并运用三参数Weibull分布建立该型发动机涡轮叶片的可靠性寿命模型。在模型求解的数值计算过程中,为保证模型的计算精度,采用经典的牛顿迭代法及三参数相关系数优化法对涡轮叶片的寿命数据进行拟合分析及计算;同时为减少计算工作量及提高数值计算过程中人工智能的参与度,基于MATLAB软件对上述数值计算方法编写计算程序,最后对计算结果进行K-S假设检验。结果表明:对涡轮叶片寿命数据进行可靠性分析时,运用Weibull分布建立的数学模型符合客观规律;同时牛顿迭代法、三参数相关系数优化法及MATLAB计算程序的有效利用,保证了计算结果的精度。

Aiming at the high failure rate of engine turbine blades in the maintenance of civil aircraft,the reliability data of turbine blades of a certain type of civil aviation engine were collected,and the reliability life model of turbine blades of this type of engine was established by using the three-parameter Weibull distribution.In the numerical calculation process of solving the model,in order to en⁃sure the calculation accuracy of the model,the classical Newton iteration method and the three-parameter correlation coefficient optimi⁃zation method were used to carry out fitting analysis and calculation of the life data of turbine blades.At the same time,in order to re⁃duce the calculation workload and improve the participation of artificial intelligence in the process of numerical calculation,a calculation program was written based on MATLAB software for the above numerical calculation method.Finally,the calculation results were tested by K-S hypothesis.The results show that:in the reliability analysis of turbine blade life data,the mathematical model established by using Weibull distribution accords with the objective law.At the same time,the effective use of Newton iteration method,three-parame⁃ter correlation coefficient optimization method and MATLAB calculation program ensures the accuracy of the calculation results.