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| 流水中重物运动过程的数学建模与分析 | |
| 引用本文： | 王子振,何英明,中冠宇,王瑞和,陈华.流水中重物运动过程的数学建模与分析[J].数学的实践与认识,2011,41(14). |
| 作者姓名： | 王子振 何英明 中冠宇 王瑞和 陈华 |
| 作者单位： | 1. 中国石油大学(华东)石油工程学院,山东青岛,266555 2. 中国石油大学(华东)石油工程学院,山东青岛266555;中海石油研究总院,北京100027 3. 中国石油大学(华东)理学院,山东青岛,266555 |
| 摘 要： | 围绕与封堵溃口有关的重物落水后的运动问题,通过分析落水重物的受力,确定了影响其在水中运动的主要因素.建立了大实心方砖落水后竖直位移-时间、水平位移-时间的运动模型.在此基础上,通过建立包含形状因素的水流力系数模型,将各种形状试件折算为球体,建立了适应不同情况的描述重物水中运动过程的一般化模型,并对一般化模型进行合理性检验和误差分析.结合建立的模型,提出了"最有效位置触底"的猜想以及需要进行的验证试验.最后,结合相似性理论对模型进行了推广. |
| 关 键 词： | 重物落水 运动方程 误差分析 最有效位置 相似准则 |
The Modeling and Analysis of The Object's Motion in Flowing Water |
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| WANG Zi-zhen,HE Ying-ming,ZHONG Guan-yu,WANG Rui-he,CHEN Hua.The Modeling and Analysis of The Object's Motion in Flowing Water[J].Mathematics in Practice and Theory,2011,41(14). | |
| Authors: | WANG Zi-zhen HE Ying-ming ZHONG Guan-yu WANG Rui-he CHEN Hua |
| Institution: | WANG Zi-zhen~1,HE Ying-ming~(1,3),ZHONG Guan-yu~1,WANG Rui-he~1,CHEN Hua~2 (1.School of Petroleum Engineering in China University of Petroleum,QingDao 266555,China) (2.School of Sciences in China University of Petroleum,China) (3.CNOOC Research Institute,Beijing 100027,China) |
| Abstract: | This paper centers on the motion of heavy object falling into water.It confirms the factors on the motion by analyzing the forces affecting the objects and establishes the vertical displacement-time and horizontal displacement-time model of large solid squares falling into water.Based on this,a model of the motion of heavy objects in water suitable for different kinds of conditions is set up.This paper also presents reasonableness test and error analysis for this model.Combined with this model,the suspect o... |
| Keywords: | heavy object motion equations error analysis the most effective grounding position similarity criterion |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |