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线性流量阀内筒孔的设计
引用本文:徐伟光,何国辉,孙瑞锦.线性流量阀内筒孔的设计[J].数学的实践与认识,2007,37(14):103-112.
作者姓名:徐伟光  何国辉  孙瑞锦
作者单位:解放军理工大学,指挥自动化学院,南京,210007
摘    要:从理论上证明了不存在使过流面积与移动距离成线性关系的图形,同时得到了内筒孔形状的特点.并给出了两种具体设计方案.方案I中,简化曲线段设计,直接使每一个曲线段与圆上对应的弧相同,在满足线性区间最大面积达到最大范围的85%的条件下求得内筒孔形状的初始宽度为a=0.372r,这时线性区间达到最大范围区间的77.3%.方案II中用位图离散化表示外筒孔和待设计的内筒孔,用matlab编程模拟两个图形相对运动时过流面积的变化的同时描绘出内筒孔的形状.内筒孔的初始宽度a=0.196r,此时得到的连续线性区间达到最大范围区间的98.55%,线性区间的最大面积达到最大范围的99.02%.文章的最后比较了两种方案的优缺点.

关 键 词:线性流量阀  计算机模拟
修稿时间:2007年3月1日

The Design of the Linear Flow Valve's Inner Cylinder Aperture
XU Wei-guang,HE Guo-hui,SUN Rui-jin.The Design of the Linear Flow Valve''''s Inner Cylinder Aperture[J].Mathematics in Practice and Theory,2007,37(14):103-112.
Authors:XU Wei-guang  HE Guo-hui  SUN Rui-jin
Abstract:The paper proves that there is no graphics which makes the acreage which the flow pass be linear with the moved distance in theory,gets the characteristics of the inner cylinder aperture′s geometric figure,and provides two specific design scheme. Scheme I: To simplify the design of the curve,we make every curve the same as the relevant arc of the circle.After satisfying the qualification that the maximum acreage of the linear interval is equal to or above 85 percent of the maximum domain,we solve out that the initial width of the inner bucket is 37.2 percent of the circle′s radius and then the linear interval is equal to 77.3 percent of the maximum domain interval. Scheme II: We use bitmap to describe the outer and inner cylinder aperture′s figure in a discrete way.We simulate the change of the passing stream′s acreage and describe the figure of the inner cylinder aperture when the two graphics move towards each other.The initial width of the inner cylinder aperture is 19.6 percent of the radius of the circle,then we find that the continuous linear interval reaches 98.55 percent of the maximum domain interval and the maximum acreage of the linear interval is 99.02 percent of the maximum domain. The paper analyzes the merits and defects of two schemes at last.
Keywords:linear flow valve  computer simulation
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