CAJ | 학술논문

有限元法(Finite element method,FEM)在轧制过程力能参数、变形参数、温度参数以及组织演变等模拟与预测中发挥了重要作用,但由于有限元求解问题时所需的计算时间较长而无法实现轧制过程参数的在线计算.快速有限元(Fast fmiteelement,FFE)方法具有计算精度高和计算速度快等优点.基于刚塑性有限元(Rigid plasticity finite element method,RFFEM)方法开发了板材轧制过程FFE程序.讨论了单元数目对计算时间和计算精度的影响规律,研究加快计算收敛速度和减少搜索时间的在线算法,包括采用阻尼Newton-Brunt法相结合减少一维搜索时间;采用改进循环中点求积Newton法为Newton-Raphson迭代法寻求比较好的初始值;采用信赖域Newton混合迭代法以及改进的Cholesky分解使Hessian矩阵强迫正定以加快收敛速度;研究计算机操作系统、软硬件条件对计算时间的影响.开发的FFE在线设定模块在某热轧带钢厂取得良好的应用效果.
유한원법(Finite element method,FEM)재알제과정력능삼수、변형삼수、온도삼수이급조직연변등모의여예측중발휘료중요작용,단유우유한원구해문제시소수적계산시간교장이무법실현알제과정삼수적재선계산.쾌속유한원(Fast fmiteelement,FFE)방법구유계산정도고화계산속도쾌등우점.기우강소성유한원(Rigid plasticity finite element method,RFFEM)방법개발료판재알제과정FFE정서.토론료단원수목대계산시간화계산정도적영향규률,연구가쾌계산수렴속도화감소수색시간적재선산법,포괄채용조니Newton-Brunt법상결합감소일유수색시간;채용개진순배중점구적Newton법위Newton-Raphson질대법심구비교호적초시치;채용신뢰역Newton혼합질대법이급개진적Cholesky분해사Hessian구진강박정정이가쾌수렴속도;연구계산궤조작계통、연경건조건대계산시간적영향.개발적FFE재선설정모괴재모열알대강엄취득량호적응용효과.
Finite element method(FEM)plays a very important role in the simulation and prediction of the parameters of pressure,deformation,temperature and microstructure evolution during rolling process.But online calculation is impossible because of the long time consumed in the FEM calculation of rolling parameters.Fast finite element(FFE)method has advantage of calculation with high precision and fast speed.On the basis of rigid plastic finite element method(RPFEM),the FFE method in strip rolling is developed.Effects of element numbers on calculation time and precision are analyzed.Onlme arithmetic methods of accelerating convergence and reducing search time are researched,including the combined damped Newton and Brunt method to reduce the one dimensional searchtime;the better initial value Can be obtained by adopting improved mid-point integral Newton method;improved Newton method with trust region method and forced positive definite Hessian matrix method are used to reduce the convergence time.In addition,the influence of operating system,hardware and sottware of computer on the calculating time is also discussed.The FFE online calculation module developed is well used in a hot strip plant.