| 锥筒浇包余液体积及体心矩的锥体平面解析法 |
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| 引用本文： | 阳国柱,张天昌,阳国崧.锥筒浇包余液体积及体心矩的锥体平面解析法[J].华中科技大学学报(自然科学版),1989(2). |
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| 作者姓名： | 阳国柱 张天昌 阳国崧 |
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| 作者单位： | 华中理工大学机械工程二系
(阳国柱，张天昌)，济南汽车制造总厂(阳国崧) |
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| 摘 要： | 为求取锥筒形侧浇浇包中金属余液在现底前、后的体积和体心矩,本文采用了“锥体平面解析法”。其方法是将余液形成的斜截圆锥台的体积和体心矩的三维问题转化成千面解析几何中求面积和面心矩的平面问题来求解,从而简化了计算过程。
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| 关 键 词： | 锥筒形侧浇浇包 体心矩 金属余液 斜椭圆锥体 叙椭圆弓锥体 斜截圆锥台 |
Calculation of Volume and Volumetric Centroids of the Residuum in a Side Dump Conic Ladle |
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| Yang Guozhu Zhang Tianchang Yang Guosong.Calculation of Volume and Volumetric Centroids of the Residuum in a Side Dump Conic Ladle[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1989(2). |
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| Authors: | Yang Guozhu Zhang Tianchang Yang Guosong |
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| Institution: | Yang Guozhu Zhang Tianchang Yang Guosong |
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| Abstract: | A calculating method is employing the concept of plane analytic geometry for obtaining the relations between the volumes and the volumetric centroids of the residual molten metal in a side dump conic ladle before and after the ladle's bottom shows is presented.The principle of the method that an inclined truncated conic column formed from the residual molten metal and truncated by an inclined plane, the metal's upper surface, can be divided into several parts, the inclined elliptic cone, the inclined segmental elliptic cone, the circular cone and the segmental circular cone. With this method, the 3-D problem will be reduced to one of plane analytic geometry and the calculation is significantly simplified. |
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| Keywords: | The side dump cone ladle Volumetric centroid Residual molten metal Inclined elliptic cone Inclined segmental elliptic cone Inclined truncated conic column |
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