拉格朗日插值方法和等参单元逆变换方法在热固耦合中的应用  

Lagrange Interpolation Method and Isoparametric Element Inverse Transformation Method Application in Thermosetting Coupling

作　　者：金赛英 陈铁锋 

机构地区：[1]中国航发商用航空发动机有限责任公司,上海200241

出　　处：《装备制造技术》2017年第7期232-236,共5页Equipment Manufacturing Technology

摘　　要：基于拉格朗日插值方法,结合等参单元逆变换方法,将目标插值节点的全局坐标变化成等参单元的局部坐标,获得拉格朗日插值所需的形函数,从而得到目标插值节点所对应的热固耦合结果。对该方法进行了验证并程序化,适用于航空发动机二维整机有限元分析模型进行了热固耦合,算例表明该方法具有较高的精度,工程适用性好,能用于类似的多种航空发动机结构进行热固耦合。Based on the lagrangian interpolation method and inverse is oparametric element mapping method,to get the local coordinate of a target point in the aera of a isoparametric element by changing it＇s global coordinate,then obtain the desired parameters of the lagrangian interpolation shape function,so the corresponding thermal-struture coupling result of the target mapping point be arrived. In this paper,the above method be validated and be programed,and applicable to thermal-structure coupling of the two-dimensional aero-engine rotor structure,the result show that this method has high accuracy and good adaptability in engineering utilize,it can be used in a variety of similar structure of aero-engine to thermal-structure coupling.

关 键 词：拉格朗日插值方法 等参单元逆变换 航空发动机 热固耦合 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]