裂纹条件下轴类锻件锻造中温度场分析模型

Temperature Field Analysis Model of Shaft Forgings with Cracks during Forging

基于非稳态热传导理论建立了对称与非对称裂纹条件下轴类锻件的二维温度场分析模型。该模型结合复合介质理论,首先运用集总参数法求解对称裂纹锻件的裂纹介质温度场,得出裂纹对应的温度场函数,然后将其作为对称裂纹条件下轴类锻件热传导方程的边界条件,通过求解热传导方程得到对称裂纹条件下轴类锻件的温度场分析模型;其次,通过引入修正系数得到非对称裂纹的温度场函数,将该温度场函数作为非对称裂纹条件下轴类锻件热传导方程的边界条件,求解热传导方程得到非对称裂纹条件下轴类锻件的温度场分析模型。实验验证了该模型的可行性。

Based on the unsteady heat conduction theory,a temperature field analysis model of shaft forgings with symmetric and asymmetric cracks was proposed.The shaft forgings with cracks were considered as composite media.According to lumped parameter method,the temperature field function of crack was obtained through solving governing equation of forgings with symmetric cracks.Then the temperature field function of asymmetric cracks was obtained by introducing correction factors.Moreover,the temperature field function of symmetric crack was regarded as the boundary conditions of heat conduction equation for shaft forgings with symmetric cracks.The temperature field function of asymmetric cracks was regarded as the boundary conditions of heat conduction equation for shaft forgings with asymmetric cracks.Therefore,combining with the corresponding boundary conditions,the temperature field analysis model of shaft forgings with cracks was established.The feasibility of this model was verified according to experimental results.