北京科技大学学报
北京科技大學學報
북경과기대학학보
JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING
2013年
3期
358-364
,共7页
楔横轧%轧齐成形%微分方程%数值方法
楔橫軋%軋齊成形%微分方程%數值方法
설횡알%알제성형%미분방정%수치방법
cross wedge rolling%step shaping%differential equations%numerical methods
为了解决目前轧齐理论应用于窄台阶轧齐曲线求解时精确性不足的问题,同时为了进一步了解轧齐成形本质,通过改进几何模型,分析并给出各影响因素之间关系函数,将轧齐曲线求解问题描述成为微分方程初值问题.通过软件编程应用数值方法进行求解,得到窄台阶轧齐曲线函数的离散值.使用有限元模拟计算及轧制试验的方法,将计算结果与文献作对比.通过对比分析模拟和实验结果中台阶面的尺寸,证明该解法不但是成立的,而且有利于成形更加精确的内侧较窄直角台阶.
為瞭解決目前軋齊理論應用于窄檯階軋齊麯線求解時精確性不足的問題,同時為瞭進一步瞭解軋齊成形本質,通過改進幾何模型,分析併給齣各影響因素之間關繫函數,將軋齊麯線求解問題描述成為微分方程初值問題.通過軟件編程應用數值方法進行求解,得到窄檯階軋齊麯線函數的離散值.使用有限元模擬計算及軋製試驗的方法,將計算結果與文獻作對比.通過對比分析模擬和實驗結果中檯階麵的呎吋,證明該解法不但是成立的,而且有利于成形更加精確的內側較窄直角檯階.
위료해결목전알제이론응용우착태계알제곡선구해시정학성불족적문제,동시위료진일보료해알제성형본질,통과개진궤하모형,분석병급출각영향인소지간관계함수,장알제곡선구해문제묘술성위미분방정초치문제.통과연건편정응용수치방법진행구해,득도착태계알제곡선함수적리산치.사용유한원모의계산급알제시험적방법,장계산결과여문헌작대비.통과대비분석모의화실험결과중태계면적척촌,증명해해법불단시성립적,이차유리우성형경가정학적내측교착직각태계.
@@@@Existing methods are not accurate enough to apply in the solution of shaping curves for narrow steps in cross wedge rolling. In order to solve this problem and explore the shaping essence, the curve solution was described as the initial value problem of a differential equation by improving the previous geometric model and analyzing the relationships among various factors in shaping processes. A numerical method by mathematical programming software was used to solve the discrete results of the shaping curves. Through simulation and practice experiments, the calculated results were compared with data in literatures. The comparison of step size obviously shows that this method is not only able to be established, but also better than previous methods on the shaping accuracy of narrow steps.