Global chaos in flow-induced oscillations of cylinders

被引：23

作者：

Plaschko, P ^{[1
]}

机构：

[1] Univ Autonoma Metropolitana Iztapalapa, Mexico City 09340, DF, Mexico

来源：

JOURNAL OF FLUIDS AND STRUCTURES | 2000年 / 14卷 / 06期

关键词：

D O I：

10.1006/jfls.2000.0298

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Flow-induced cylinder vibrations can be approximately described by the dynamics of a Hamiltonian system excited at a fundamental and a higher harmonic frequency. Three resonances arise and each of them is associated with a heteroclinic path. The overlap of a pair of tori yields global chaos, the onset of which is calculated with the Chirikov method. An averaging approximation is used and a comparison with the exact solution shows excellent agreement in the low-energy limit. The transition occurs along a locus curve which relates the wind speed to the frequency parameter. Poincare maps confirm qualitatively the theoretical predicted transition. (C) 2000 Academic Press.

引用

页码：883 / 893

页数：11

共 15 条

[1] ON A MECHANISM OF VORTEX EXCITED OSCILLATIONS OF A CYLINDER [J].

BERGER, E .

JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS, 1988, 28 (1-3) :301-310

[2] HOPF BIFURCATIONS AND HYSTERESIS IN FLOW-INDUCED VIBRATIONS OF CYLINDERS [J].

BERGER, E ;

PLASCHKO, P .

JOURNAL OF FLUIDS AND STRUCTURES, 1993, 7 (08) :849-866

[3] VORTEX-INDUCED VIBRATIONS OF A LONG FLEXIBLE CIRCULAR-CYLINDER [J].

BRIKA, D ;

LANEVILLE, A .

JOURNAL OF FLUID MECHANICS, 1993, 250 :481-508

[4] UNIVERSAL INSTABILITY OF MANY-DIMENSIONAL OSCILLATOR SYSTEMS [J].

CHIRIKOV, BV .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1979, 52 (05) :263-379

[5] STOCHASTICITY IN CLASSICAL HAMILTONIAN-SYSTEMS - UNIVERSAL ASPECTS [J].

ESCANDE, DF .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1985, 121 (3-4) :165-261

[6]

Feng C.C., 1968, The measurement of vortex-induced effects in flow past stationary and oscillating circular and D-section cylinders

[7]

Goldstein H, 1980, CLASSICAL MECH

[8] Dynamics of a hydroelastic cylinder with very low mass and damping [J].

Khalak, A ;

Williamson, CHK .

JOURNAL OF FLUIDS AND STRUCTURES, 1996, 10 (05) :455-+

[9]

KOBAYASHI T, 1980, THESIS TU BERLIN BER

[10]

ksendal B., 1998, Stochastic Differential Equations: An Introduction with Applications, V6th, DOI [10.1007/978-3-662-03620-4, DOI 10.1007/978-3-662-03620-4]

← 1 2 →