| 任意挠曲输液管道瞬时变分原理 |
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| 引用本文： | 张欢,倪振华,等.任意挠曲输液管道瞬时变分原理[J].应用力学学报,1998,15(3):99-103. |
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| 作者姓名： | 张欢 倪振华 |
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| 作者单位： | [1]西安交通大学，西安710049 [2]汕头大学，汕头515063 |
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| 摘 要： | 给出了弹性系统瞬时势能泛函的一般表达式，得到了其关于任意挠曲输液管道的具体表达式，根据瞬时最小势能原理建立了该结构的有限元动力方程，并首次推导出其离心力载荷公式，讨论了管道结构静平衡位置的发散流速的确定，最后，用简单的实验结果对理论分析作了验证。
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| 关 键 词： | 输液管道 变分原理 有限单元法 挠曲 |
The Variation Principle for the Arbitrarily Curved and Twisted Pipe Conveying Fluid |
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| Zhang Huan,Ni Zhenhua,Gu Chuangang.The Variation Principle for the Arbitrarily Curved and Twisted Pipe Conveying Fluid[J].Chinese Journal of Applied Mechanics,1998,15(3):99-103. |
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| Authors: | Zhang Huan Ni Zhenhua Gu Chuangang |
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| Abstract: | The general expression for the instantaneous potential energy functional of elastic system is given at first, and then the special for the arbitrarily curved and twisted pipe conveying fluid is obtained. The dynamic finite element equations of the structure are established through the application of the minimum instantaneous potential energy principle. The centrifugal load formulations on the structure are derived maidenly. The determinations for the static balanced position and the divergent mass transport velocity are discussed. The static and dynamic calculations for a given example are carried out for comparion with a simple experiment. |
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| Keywords: | pipe conveying fluid variation principle finite element method |
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