The Non-linear Equations of Motion of Pipes Conveying Fluid
The Non-linear Equations of Motion of Pipes Conveying Fluid
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DOI：
10.1006/jsvi.1994.1035
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发表时间：
1994-02
影响因子：
4.7
通讯作者：
C. Semler;G. X. Li;M. Païdoussis
中科院分区：
文献类型：
--
作者：
C. Semler;G. X. Li;M. Païdoussis
摘要 通过能量法和牛顿法，可以用简单易懂的术语导出输送流体的管道的非线性运动方程。对于悬臂式管道（假设中心线不可延伸）和两端固定的管道进行了不同的推导；结果表明，这两种情况下的推导、各项的起源以及方程的结构明显不同。然后将运动方程与已有的方程进行比较，例如 Holmes、Rousselet 和 Herrmann、Lundgren、Sethna 和 Bajaj 的方程，同时澄清所做的推导和假设，并讨论最终方程的有效性和完整性。一些方程被发现是完全正确的，实际上优于此处推导的方程，而另一些方程则由于所做的假设或推导中的不一致而被发现有缺陷；对于两端固定的管道，本文给出的方程被认为是最完整和正确的。
Abstract The non-linear equations of motion of pipes conveying fluid are derived in simple and accessible terms, by energy and Newtonian methods. Different derivations are made for cantilevered pipes, where the centreline is assumed inextensible, and for pipes with both ends fixed; it is shown that the derivations, the origin of the various terms and the structure of the equations are distinctly different in these two cases. The equations of motion are then compared with those already in existence, e.g., by Holmes, Rousselet and Herrmann, and Lundgren, Sethna and Bajaj, at the same time clarifying the derivations and assumptions made, and discussing the validity and completeness of the final equations. Some of the equations are found to be fully correct, indeed superior to those derived here, while others are found to be deficient, because of assumptions made or inconsistencies in the derivations; for pipes with both ends fixed, the equations given in this paper are considered to be the most complete and correct.