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 Lagrange interpolation and inverse transformation of isoparametric units, the global coordinates of target interpolation nodes are transformed into the local coordinates of isoparametric units, and the shape functions required for Lagrange interpolation are obtained, and the target interpolation nodes The corresponding thermomechanical coupling results. The method is validated and programmed, which is applicable to the two-dimensional finite element analysis model of aeroengine for thermo-mechanical coupling. The examples show that the method has high accuracy, good engineering applicability and can be applied to similar Aeroengine structure for thermomechanical coupling.