| 重物落水后运动过程的数学建模 |
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| 引用本文： | 程浩,丁建东,孙田. 重物落水后运动过程的数学建模[J]. 数学的实践与认识, 2011, 41(14) |
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| 作者姓名： | 程浩 丁建东 孙田 |
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| 作者单位： | 1. 南京工业大学理学院,江苏南京,210009
2. 南京工业大学交通学院,江苏 南京,210009 |
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| 基金项目： | 江苏省自然科学基金(BK2010599) |
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| 摘 要： | 分析了影响重物落水运动过程的主要因素,根据各因素权重关系及相关物理理论建立了多因素融合的大实心方砖落水过程模型,对重物在水中的运动分成部分浸入水中和重物完全浸入水体两个阶段.定性描述了两连接物体落水后耦合运动过程,并与实测数据进行拟合,根据对比的结果,实现了误差分析,根据误差原因优化模型以提高其准确度和适用性,并对未来的试验和研究工作提出了一些建议,以提高试验数据的质量.
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| 关 键 词： | 溃口封堵 数学模型 压差阻力 误差分析 |
Movement Process Mathematical Modeling of Object Falling into Water |
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| CHENG Hao,DING Jian-dong,SUN Tian. Movement Process Mathematical Modeling of Object Falling into Water[J]. Mathematics in Practice and Theory, 2011, 41(14) |
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| Authors: | CHENG Hao DING Jian-dong SUN Tian |
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| Affiliation: | CHENG Hao~1,DING Jian-dong~1,SUN Tian~2 (1.College of Sciences,Nanjing University of Technology,Nanjing 210009,China) (2.College of Transportation Science and Engineering,China) |
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| Abstract: | The main factors that impact the movement process of object falling into water are analyzed.According to the factors weights relationship and related physical theories, mathematical model of solid square brick drowning process is established.In this model,the object motion is divided into two stages,part submerged in water and all submerged in water. The movement process of two connected objects is described qualitatively.After data fitting and comparison with experimental data,we analyze the error sources.... |
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| Keywords: | Dam-breach closure mathematical model pressure drag error analysis |
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