摘要
转子热状态的监控必须实时计算转子体内温度和应力场。从二维轴对称体内导热微分方程出发,经过一些合理假设和简化后,用积分变换的方法推导得到转子内温差及热应力迭代计算公式,并通过实例与有限元计算结果作了对比。结果表明所得模型计算精度高、计算速度快,所得到的热应力计算公式不仅可用于汽轮机和燃气轮机转子热状态理论分析,还可用于在线监测和疲劳分析以及处理材料、边界条件的非线性因素。所采用的推导方法和得到的应力计算公式还可用于其它具有类似边界条件的轴对称体内热状态分析。
To monitor and control rotor＇s thermal state, rotor＇s temperature and thermal stress fields must be calculated online. After some reasonable assumption and simplicity, an iterative model of rotor＇s temperature and thermal stress has been got with integral transform based on two-dimensional axis-symmetry thermal conduction differential equation. The model can deal with some nonlinear factor such as material and boundary condition. An example has been given to compare with the result computed by finite element method and one-dimensional model. The result shows the analytical model gained has high quality and the computing course is very short. The iterative formula can be used not only to analyze rotor＇s thermal states of turbine, but to monitor and control online. The method adopted can be used for analyzing thermal state of other axis-symmetry object having similar boundary condition.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2006年第1期21-25,共5页
Proceedings of the CSEE
关键词
二维轴对称体
导热微分方程
积分变换
温度和
热应力在线计算
迭代解析计算模型
:
Two-dimensional axis-symmetry object
Thermal conduction differential equation
Integral transform
Iterative temperature and stress online calculating
iterative analytic model
