Dynamic behavior analysis for a two-end simply-supported slender cylinder subjected to pulsating flow

SHU Yafeng1,2, WU Jianjun1, YANG Yongwei2, LI Jiajun1

Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (13) : 49-56.

PDF(874 KB)
PDF(874 KB)
Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (13) : 49-56.

Dynamic behavior analysis for a two-end simply-supported slender cylinder subjected to pulsating flow

  • SHU Yafeng1,2, WU Jianjun1, YANG Yongwei2, LI Jiajun1
Author information +
History +

Abstract

The nonlinear dynamic model of a two-end simply-supported cylinder subjected to axial pulsating flow was established considering a nonlinear term caused by additional axial force. In order to study dynamic characteristics of the system, effects of key parameter’s pulsating frequency on dynamic behaviors of the system were further discussed. From bifurcation diagram, it was observed that chaos may exist in the system within a certain frequency range. Phase diagrams, Poincare mapping and statistical features, such as, power spectrum and the maximum Lyapunov exponent under 3 special pulsating frequencies were used to analyze dynamic characteristics of the system. It was shown that the results provide a guide for safety assessment of flow induced vibration of a fuel rod caused by pulsating flow in a reactor system.

Key words

nonlinear term / pulsating flow / bifurcation diagram / dynamic characteristics

Cite this article

Download Citations
SHU Yafeng1,2, WU Jianjun1, YANG Yongwei2, LI Jiajun1. Dynamic behavior analysis for a two-end simply-supported slender cylinder subjected to pulsating flow[J]. Journal of Vibration and Shock, 2020, 39(13): 49-56

References

[1]     E.Ter Hofstede, S. Kottapalli, A. Shams, Numerical prediction of flow induced vibrations in nuclear reactor applications[J]. Nuclear Engineering and Design, 2017, 319: 81-90.

[2]     W. R. Marcum, B. G. Woods. Predicting the onset of dynamic instability of a cylindrical plate under axial flow conditions[J]. Nuclear Engineering and Design, 2012, 250: 81-100.

[3]     M. P. Paϊdoussis. Dynamics of flexible slender cylinders in axial flow Part 1. Theory[J]. Journal of Fluid Mechanics, 1966, 26(4): 717-736.

[4]     M. P. Paϊdoussis. Dynamics of flexible slender cylinders in axial flow Part 2. Experiments[J]. Journal of Fluid Mechanics, 1966, 26(4), 737-751.

[5]     M. P. Paϊdoussis. The dynamical behaviour of cylindrical structures in axial flow[J]. Annals of Nuclear Science and Engineering 1974,1:83-106.

[6]     王琳,输流管道的稳定性、分岔与混沌行为研究[D].武汉:华中科技大学博士论文,2006.

WANG Lin, Stability, bifurcations, and chaos in pipes conveying fluid[D]. Wuhan: Huazhong University of Science & Technology PH.D. thesis, 2006

[7]     J. D. Jin, Stability and chaotic motions of a restrained pipe conveying fluid. Journal of Sound and Vibration, 1997, 208: 427~439

[8]       Y. Modarres-Sadeghi. Nonlinear dynamics of a slender flexible cylinder subjected to axial flow[D]. PhD thesis, McGill University, 2006.

[9]       Y. Modarres-Sadeghi, M. P. Païdoussis, Semler, C., et al., Nonlinear dynamics of slender cylinders supported at both ends and subjected to axial flow. In IUTAM Symposium on Integrated Modeling of Fully Coupled Fluid Structure Interactions Using Analysis, Computations and Experiments (pp. 233-246). Springer, Dordrecht, 2003

[10]    V. I. Solonin, V. V. Perevezentsev, Studying the vibration and random hydrodynamic loads on the fuel rods bundles in the fuel assemblies of the reactor installations used at nuclear power stations equipped with VVER reactors[J]. Thermal Engineering, 2012, 59(5): 384-389.

[11]    J. De Ridder, Doaré O., J. Degroote, et al. Simulating the fluid forces and fluid-elastic instabilities of a clamped–clamped cylinder in turbulent axial flow[J]. Journal of Fluids and Structures, 2015, 55: 139-154.

[12]  M. J. Lighthill, Note on the swimming of slender fish[J]. Journal of fluid Mechanics, 1960, 9(02): 305-317.

[13]  G.Taylor,Analysis of the swimming of long and narrow animals[J]. Proceedings The Royal Society, 1952, 214(1117): 158-183.

[14]  M. P. Paϊdoussis, Fluid-Structure interactions, slender structures and axial flow ,V. 2[M]. Academic Press, London, U.K., 2004.

[15]    A. Labuschagne, van Rensburg N.F.J., Van der Merwe A. J., Comparison of linear beam theories[J]. Mathematical and Computer Modelling, 2009, 49(1-2): 20-30.

[16]    刘延柱,陈立群.非线性振动[M]. 北京:高等教育出版社,2001.

LIU Yanzhu, CHEN Liqun. Nonlinear vibrations[M]. Beijing: High education press, 2001.

[17]    武建军,郑晓静,周又和,何丽红.两级EMS型悬浮磁悬浮控制系统的动力学稳定性分析[J]. 固体力学学报,2003, 24(1):67-74.

WU Jianjun, ZHENG Xiaojing, ZHOU Youhe, et al. The nonliear dynamical characteristics of magalev control system with two suspensions[J]. Acta mechanical solida sinica, 2003,24(1):67:74

[18]    周又和,郑晓静,武建军,何丽红.磁浮列车的动力稳定性与Liapunov指数[J].力学学报,2000,32(1):42-51.

ZHOU Youhe, ZHENG Xiaojing, WU Jianjun, et al. Analysis of dynamical stability for magnetic levitation vehicles by Liapunov characteristic nunber[J]. Acta mechanical sinica, 2000, 32(1):42-51

PDF(874 KB)

Accesses

Citation

Detail

Sections
Recommended

/