基于Lagrange-Galerkin有限元方法的焊接热循环轻量化求解

Research on lightweight solver for welding thermal cycle based on Lagrange-Galerkin finite element method

焊接热循环的干扰因素多、变化速度快、影响范围广,常需要对其进行即时预测与控制,以保证焊接质量。以焊缝中心温度分布与变化为研究对象,将其简化为一维焊接热循环瞬态热传导问题,并基于Lagrange-Galerkin有限元方法,进行算域离散与插值。开发了一种轻量化的焊接热循环求解算法,研究不同时刻下焊缝中心温度分布曲线与变化曲线的即时变化。以镍基Inconel 718合金2 mm薄板对接接头为例,进行数值模拟实例演算,结果表明计算耗时约0.41~0.72 s,满足数据与轻量化计算的要求。

The welding thermal cycle has many interfering factors,fast changing speed and wide influence range,so it is often necessary to predict and control them immediately to ensure the welding quality.Taking the temperature distribution and change of weld center as the research object,and it was simplified to the transient heat conduction problem of one-dimensional welding heat cycle.Based on Lagrange-Galerkin finite element method,a lightweight welding thermal cycle algorithm was developed to study the immediate changes of the temperature distribution curve and change curve of the weld center at different times.The results show that the calculation time is about 0.41~0.72 s,which meets the requirements of data and lightweight calculation.