无限大板焊接温度场解析解的实例分析

根据数形结合的思想,实例分析了移动线热源作用下的无限大板焊接温度场解析解,准确绘制了无限大板温度场的三维分布图形和二维分布的温度曲线和等温线.结果发现:沿x方向变化的温度曲线均先升高再降低,并且降低速度显著快于上升速度,温度最高点的位置随着y值的增大缓慢向左移动.沿y方向变化的温度曲线均关于直线y=0 mm左右对称,当y=0 mm时具有最大值.单个等温线类似椭圆状,温度场上下对称,前端线条密集,温度梯度大,后端线条稀疏,温度梯度小.同时计算了实例情况下焊接熔池的表面形状和尺寸,熔池类似椭圆状,长30.16 mm,宽22.13 mm.

Example of analytical solution of welding temperature field for infinite plate

Based on the idea of combination of equation and graph, welding temperature field was analyzed by example plate analytical solution under the action of mobile line heat source. The three-dimensional distribution graph and the two-dimensional temperature and isotherm curve of the temperature field of the infinite plate were accurately drawn. The results showed that the temperature increases slowly and then decreases rapidly with x variation when y takes a fixed value. The highest temperature point moves slowly to the left with the increase of y value. The temperature is symmetric about straight line y=0 mm when x takes a fixed value and takes a maximum value when y=0 mm. A single isotherm is similar to an ellipse and is symmetric about its horizontal axis. The front of the temperature field has dense lines and large temperature gradient, while the back of the temperature field has sparse lines and small temperature gradient. Then the surface shape and size of welding pool in the case of example are calculated, the molten pool looks like an ellipse and is 30.16 mm long, 22.13 mm wide.