任意挠曲输液管道瞬时变分原理

The Variation Principle for the Arbitrarily Curved and Twisted Pipe Conveying Fluid

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和发散流速的确定。最后，用简单的实验结果对理论分析作了验证。

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.