燃气涡轮发动机数学模型建模原理与方法  

Principles and Methods of Mathematical Modeling for Gas Turbine Engines

作　　者：李瑞敏 罗谦 魏晨 Li Rui-min;Luo Qian;Wei Chen(AECC Hunan Aviation Powerplant Research Institute,Hunan Zhuzhou 412000)

机构地区：[1]中国航发湖南动力机械研究所,湖南株洲412000

出　　处：《内燃机与配件》2025年第6期130-132,共3页Internal Combustion Engine & Parts

摘　　要：本文介绍了燃气涡轮数学模型建模时基本的物理原理和数值计算方法,包括特别适用于计算机中正反计算工质热物理性质的变比热计算方法、具体部件参数计算的基本过程,非线性方程与方程组数值解法、转子动力学和容腔动力学理论、常微分方程解法;在数学模型的代码实现层面,介绍了面向对象的建模思路,认为燃气涡轮发动机数学模型具有应用面向对象建模的优越条件,可以同时兼顾代码的可维护性和灵活性。This paper introduces the fundamental physical principles and numerical calculation methods involved in the mathematical modeling of gas turbines.It includes a variable specific heat calculation method that is especially suitable for forward and reverse calculations of the thermophysical properties of working substances in computers,the basic process of calculating specific component parameters,numerical solution methods for nonlinear equations and systems of equations,rotor dynamics and cavity dynamics theories,and solutions to ordinary differential equations.On the level of implementing mathematical models in code,it introduces object-oriented modeling approaches,suggesting that gas turbine engine mathematical models have superior conditions for applying object-oriented modeling.This approach can simultaneously take into account the maintainability and flexibility of the code.

关 键 词：燃气涡轮发动机 变比热 数值方法 面向对象建模 

分 类 号：V235.1[航空宇航科学与技术—航空宇航推进理论与工程]