基于数值流形的瞬态温度场的预测与校正计算方法  

Prediction and correction calculation method on transient temperature field based on numerical manifold

作　　者：何伟健 章争荣[1,2] He Weijian;Zhang Zhengrong(School of Materials and Energy,Guangdong University of Technology,Guangzhou 510006,China;Guangdong Provincial Key Laboratory of Metal Forming Processing and Forging Equipment Technology,Guangzhou 510006,China)

机构地区：[1]广东工业大学材料与能源学院,广东广州510006 [2]广东省金属成形加工与锻压装备技术重点实验室,广东广州510006

出　　处：《锻压技术》2024年第11期241-247,共7页Forging & Stamping Technology

基　　金：国家自然科学基金面上项目(52175294)

摘　　要：提出了一种基于数值流形的瞬态温度场计算方法。推导了瞬态温度场的数值流形离散格式,通过插值法计算每一时间步的第1个预测步,以每一时间步的第1个预测步为基础,加入黄金分割比优选法和修正因子对预测步进行校正,讨论了不同修正因子的选择和变化判断依据,对比了不同方法对计算校正速率的影响。结果表明:插值法可加快温度场的预测,通过不同修正因子系数的计算证明了黄金分割比例系数的优越性,修正因子的变化判断依据采用相对值时比采用绝对值时的校正速率更快且更稳定,校正过程不易出现震荡波动现象;最后以金属镦粗为例,将计算结果与Deform有限元软件的结果进行对比,说明了预测与校正方法的可行性与准确性。A transient temperature field calculation method based on numerical manifolds was proposed,and the discrete format of numerical manifold for transient temperature field was deduced.Then,the first prediction step of each time step was calculated by the interpolation method,and based on the first prediction step of each time step,the prediction step was corrected by adding the golden section ratio preference method and the correction factor.Furthermore,the selection of different correction factors and the judgement basis of change were discussed,and the influences of different methods on the calculation correction rate were compared.The results show that the interpolation method can speed up the prediction of temperature field,and the superiority of the golden section coefficient is proved by the calculation of different correction factor coefficients.The judgement basis of the change in correction factors is based on the fact that the correction rate is faster and more stable when using relative values than that when using absolute values,and the correction process is less prone to oscillation and fluctuation phenomenon.Finally,for metal upsetting,the calculation result and the prediction result obtained by finite element software Deform are compared to illustrate the feasibility and accuracy of the prediction and correction method.

关 键 词：数值流形 温度场 黄金分割比 预测 校正 修正因子 

分 类 号：TG301[金属学及工艺—金属压力加工]