维修线性流量阀时的内筒设计问题  

The Question of Designing the Inside Tube in Maintaining Linear Valve

作　　者：赵彬[1] 马莉[2] 白曦[3] 

机构地区：[1]吉林大学辊锻工艺研究所,长春130025 [2]吉林大学交通学院,长春130025 [3]吉林大学计算机科学与技术学院,长春130012

出　　处：《数学的实践与认识》2007年第14期113-122,共10页Mathematics in Practice and Theory

摘　　要：针对问题1,利用微元法证明了面积特性曲线保持线性的必要条件.探索了内筒孔为四种特殊形状下,线性关系比较良好.利用最小二乘原理建立了无约束条件泛函极值模型.通过对内筒孔曲线的合理假设,得到了线性关系较好的内筒孔曲线形状.针对问题2,利用最小二乘原理建立了有约束条件泛函极值模型,设计出最优内筒孔形状.通过牺牲严格的线性关系使其逐渐满足两个约束条件,设计出最优的内筒孔形状.最后考虑外筒孔磨损情况提出了基于自动控制理论和逆向工程技术等方法.Aim at question 1, we use differential element method to prove the necessary condition of the area characteristic curve to keep linear relationship. We investigate the four special shapes of the inside tube bore, then find that the curves have good linear relationship. By using least square method, we set up a nonrestraint functional extreme model. We suppose the inside tube bore curve reasonably, and get the better inside tube bore curve shape in keeping linear relationship. Aim at question 2, by using least square method, we set up a restraint functional extreme model, and design the optimization inside tube bore shape. We abandon strict linear relationship to make it satisfy two restraints, and design a optimization inside tube bore shape. Finally, we put forward the method based on automatic control theories and reverse engineering technique considering the outside tube bore abrasion.

关 键 词：线性阀体 最小二乘法 泛函极值模型 

分 类 号：O242.1[理学—计算数学]