摘要
本文利用 Hamilton变分原理和变形体内流体运动的 N- S方程建立了描述输流管道非线性流固耦合振动的控制方程 ,形成描述弱约束管道 ,输送可压缩流体、具有定常或非定常流动状态系统的非线性 4-方程模型。模型全面考虑了管道中流体的喘振特性 ,并包括了各种耦合机理。通过对现有代表性模型的讨论和比较可以看出 ,本文导出的全耦合 4-方程模型是目前较完善的描述输流管道流固耦合运动的非线性动力模型。
A nonlinear 4 equation model, including full coupling mechanisms of fluid structure interaction of fluid conveying pipe, was developed by use of Hamilton′s variational principle and equations of momentum and continuity of internal flows in deformable moving control volume in this paper. The vibrations were described with a set of 4 partial differential equations in which 4 dependent variables, axial and lateral displacements of pipe motion, and flow velocity and pressure, are involved for a flexible pipe conveying fluid. The equations of motion were then compared with those already in existence, for the save of clarifying the derivations, the validity, and the completeness. The findings obtained by comparisons are the model given in this paper is a more complelete one. [WT5HZ]
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
2000年第1期116-128,共13页
Chinese Journal of Hydrodynamics
基金
云南省自然科学基金资助项目!(97E0 0 0 3G)
水利部重点水利科技项目!(SZ9830 )
