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    预测薄板搭接接头焊接变形的高精度二维壳模型

    High-Precision Two-Dimensional Shell Model for Welding Deformation Prediction of Thin Plate Lap Joint

    • 摘要: 以薄板搭接接头为研究对象,分别基于热弹塑性法和温度载荷法建立三维有限元模型和二维壳有限元模型;采用二维壳模型,改变搭接区域单元连接方式(壳单元、CE单元、CP位移耦合和梁单元)进行薄板搭接接头焊接变形模拟,确定最佳单元连接方式,并利用所建三维模型模拟得到的固有应变对优化单元连接方式的二维壳模型进行修正;采用修正二维壳模型对焊接变形进行预测和试验验证,并与三维模型预测方法进行了对比,分析了二维壳模型中焊缝附近网格尺寸与固有应变的关系。结果表明:CP位移耦合连接方式为最佳单元连接方式。采用优化单元连接方式的二维壳模型模拟得到搭接接头上下母材侧边(平行于焊接方向,距焊缝中心125,62.5 mm)最大角变形与试验结果的相对误差分别为1.73%,2.81%,模型预测焊接变形的准确性高。与三维模型相比,二维壳模型的网格数量和计算时间均减少了90%以上,并且计算精度与三维模型相当。固有应变的校核系数与焊缝附近网格尺寸的1.085次幂成倒数关系;当焊缝附近网格尺寸为15 mm时,模拟得到角变形的最大相对误差仅为6.67%。

       

      Abstract: With a thin plate lap joint as the research object, a three-dimensional finite element model with the thermal elastic-plastic method, and a two-dimensional shell finite element model with the temperature load method were established. The welding deformation simulation of the thin plate lap joint was carried out with the two-dimensional shell model by changing the element connection mode of lap joint area (shell element, CE element, CP displacement coupling and beam element), and the best element connection mode was determined. The two-dimensional shell model with optimized element connection mode was modified by the inherent strain obtained by the three-dimensional model. The modified two-dimensional shell model was used to predict and verify the welding deformation, and compared with the three-dimensional model. The relationship between the mesh size and the inherent strain near the weld seam was analyzed. The results show that CP displacement coupling connection was the best element connection mode. The relative errors between the maximum angular deformations on the side edges of the upper and lower base metals (parallel to the welding direction, at 125 mm and 62.5 mm from the center of weld seam) simulated by the two-dimensional shell model with optimized element connection mode and test results were 1.73% and 2.81%, respectively, indicating the model had high accuracy in predicting welding deformation. Compared with the three-dimensional finite element model, the numbers of meshes and the calculation time of the two-dimensional shell finite element model were reduced by more than 90%, and the calculation accuracy was equivalent to that of the three-dimensional model. The verification coefficient of the inherent strain was inversely proportional to the 1.085th power of the mesh size near the weld seam. When the mesh size near the weld seam was 15 mm, the maximum relative error of the angular deformation obtained by simulation was only 6.67%.

       

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