针对传统数值方法在预测曲面板多加热线感应加热变形时耗时长或无法考虑加热顺序的问题，利用钢板电磁-热-结构耦合的有限元模型得到单加热线的残余应变，并将其等效为温度载荷施加在固有应变区;然后,通过弹塑性固有应变有限元计算得到钢板整体变形。采用弹塑性固有应变有限元法对帆形板和鞍形板的多加热线变形进行模拟，钢板挠度变形的计算结果与实验值之间的误差符合工程计算要求，且弹塑性固有应变法可以分析不同加热顺序下的钢板变形，结果表明,加热顺序对钢板变形有明显的影响。

Aiming at the problem of long time consumption or inability to consider the heating sequence when traditional numerical methods were used to predict the deformation of curved panels with multiple heating wires, a finite element model coupled with electromagnetic-thermal-structure of steel plates was used to obtain the residual strain of a single heating wire, which was equivalent to a temperature load, and applied to the fixed strain zone. Then, the overall deformation of the steel plate was calculated by using the elastic-plastic inherent strain finite element method. In this paper, the elastoplastic inherent strain finite element method was used to simulate the deformation of convex plate and saddle plate with multiple heating lines, the errors between the calculation results and the experimental values of the plate deflection met the engineering calculation requirements. Moreover, the elastic-plastic inherent strain method can analyze the steel plate deformation under different heating sequence, as a result of an obvious influence on the deformation of steel plate.