A nonlinear model for a free-clamped cylinder subjected to confined axial flow

被引:23
作者
Abdelbaki, A. R. [1 ]
Paidoussis, M. P. [1 ]
Misra, A. K. [1 ]
机构
[1] McGill Univ, Dept Mech Engn, 817 Sherbroke St West, Montreal, PQ H3A 2K6, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Free-clamped cylinder; Nonlinear dynamics; Axial flow; Instability; INVERTED PIEZOELECTRIC FLAG; UNIFORM STEADY FLOW; CANTILEVERED CYLINDERS; FLAPPING DYNAMICS; VIBRATION; EQUATIONS; ENERGY; MOTION;
D O I
10.1016/j.jfluidstructs.2018.03.006
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper a full nonlinear model(1) is presented for the dynamics of a cantilevered cylinder, terminated by an ogival free end, and subjected to confined, inverted axial flow. This system is also known as "a free-clamped cylinder in axial flow", since the flow is directed from the free end towards the clamped one. All the fluid-related forces and the gravity-related terms are derived separately to third-order accuracy; the inviscid forces are modelled using an extension of Lighthill's slender-body analysis to the same accuracy, and the viscous forces are obtained semi-empirically. The boundary conditions related to the free end are also derived separately, to first-order accuracy, and added to the model. The final equation of motion is obtained via Hamilton's principle, then discretized and solved numerically using AUTO and MATLAB software. The stability of the system is investigated by means of bifurcation diagrams, time histories, phase-plane and power-spectral-density plots, and the dynamical behaviour is compared to theoretical predictions and experimental observations, from the literature, for systems that have the same parameters. The theory is in good qualitative agreement with the experiments, and also good quantitative agreement in terms of the critical flow velocity of instability. (C) 2018 Published by Elsevier Ltd.
引用
收藏
页码:390 / 404
页数:15
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