Experiments on the onset of impacting motion using a pipe conveying fluid

被引:18
作者
Fredriksson, MH [1 ]
Borglund, D
Nordmark, AB
机构
[1] Royal Inst Technol, Dept Mech, SE-10044 Stockholm, Sweden
[2] Royal Inst Technol, Dept Aeronaut, SE-10044 Stockholm, Sweden
基金
瑞典研究理事会;
关键词
grazing bifurcation; impact oscillations; pipe conveying fluid; Hopf bifurcation;
D O I
10.1023/A:1008322725617
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The transition from stable periodic nonimpacting motion to impacting motion, due to variations of parameters, is observable in a wide range of vibro-impact systems. Recent theoretical studies suggest a possible scenario for this type of transition. A key element in the proposed scenario is fulfilled if the oscillatory motion involved in the transition is born in a supercritical Hopf bifurcation. If the onset of impacting motion is close to the Hopf bifurcation, the impacting motion is likely to be chaotic. A numerical simulation of a system of articulated pipes conveying fluid is used to illuminate the theory. An experimental setup is presented, where a cantilevered pipe conveying fluid is unilaterally constrained. Results from experiments are found to be in good qualitative agreement with the theory.
引用
收藏
页码:261 / 271
页数:11
相关论文
共 15 条
[2]   Prediction of period-1 impacts in a driven beam [J].
Bishop, SR ;
Thompson, MG ;
Foale, S .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 452 (1954) :2579-2592
[3]   On the optimal design of pipes conveying fluid [J].
Borglund, D .
JOURNAL OF FLUIDS AND STRUCTURES, 1998, 12 (03) :353-365
[4]   GRAZING BIFURCATIONS IN IMPACT OSCILLATORS [J].
CHIN, W ;
OTT, E ;
NUSSE, HE ;
GREBOGI, C .
PHYSICAL REVIEW E, 1994, 50 (06) :4427-4444
[5]   On the origin and bifurcations of stick-slip oscillations [J].
Dankowicz, H ;
Nordmark, AB .
PHYSICA D-NONLINEAR PHENOMENA, 2000, 136 (3-4) :280-302
[6]   Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators [J].
Fredriksson, MH ;
Nordmark, AB .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 453 (1961) :1261-1276
[7]   Dynamics of oscillators with impact and friction [J].
Hinrichs, N ;
Oestreich, M ;
Popp, K .
CHAOS SOLITONS & FRACTALS, 1997, 8 (04) :535-558
[8]  
LANGTHJEM MA, 1996, S71 DCAMM TU DENM DE
[9]   NONPERIODIC MOTION CAUSED BY GRAZING-INCIDENCE IN AN IMPACT OSCILLATOR [J].
NORDMARK, AB .
JOURNAL OF SOUND AND VIBRATION, 1991, 145 (02) :279-297
[10]   Universal limit mapping in grazing bifurcations [J].
Nordmark, AB .
PHYSICAL REVIEW E, 1997, 55 (01) :266-270