Bifurcation and Chaos of an Axially Accelerating Visoelastic Belt

LIU Yan-qi; ZHANG Wei

Journal of Beijing University of Technology > 2009 > 35(3): 293-296,315.

LIU Yan-qi, ZHANG Wei. Bifurcation and Chaos of an Axially Accelerating Visoelastic Belt[J]. Journal of Beijing University of Technology, 2009, 35(3): 293-296,315.

Citation:

LIU Yan-qi, ZHANG Wei. Bifurcation and Chaos of an Axially Accelerating Visoelastic Belt[J]. Journal of Beijing University of Technology, 2009, 35(3): 293-296,315.

Citation:

LIU Yan-qi, ZHANG Wei. Bifurcation and Chaos of an Axially Accelerating Visoelastic Belt[J]. Journal of Beijing University of Technology, 2009, 35(3): 293-296,315.

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Bifurcation and Chaos of an Axially Accelerating Visoelastic Belt

College of Mechanical Engineering and Applied Electornics, Beijing University of Technology, Beijing 100124, China

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Received Date: October 28, 2007
Available Online: December 06, 2022

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Abstract

Bifurcation and chaos of an axially accelerating viscoelastic belt are investigated.Based on geometry nonlinearity,nonlinear governing equations of motion for the axially acelerating viscoelastic belt are derived by using Hamilton's principle.The partial differential governing equations are truncated to a set of fourdimensional ordinary differential equations based on the first term Galerkin method.The nonlinear dynamical behaviors of the system are numerically identified by using the bifurcation diagrams.The results of numerical simulations indicate that bifurcation and chaos occur in the transverse nonlinear oscillations of the axially acelerating viscoelastic belt.
- viscoelastic belt,
- nonlinear,
- vibration,
- chaos

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References

[1]	MOTE C D,Jr.Stability of systems transporting accelerating axially moving materials[J].Journal of Dynamic Systems Measurement and Control,1975,97:96-98.
[2]	PAKDEMIRLI M,ULSOY A G,CERANOGLU A.Transverse vibration of an axially accelerating string[J].Journal of Sound and Vibration,1994,169(2):179-196.
[3]	WICKERT J A.Transient vibration of gyroscopic systems with unsteady superposed motion[J].Journal of Sound and Vibration,1996,195(5):797-807.
[4]	CHEN L Q,ZU J W,WU J.Principal responses in transverse nonlinear parametric vibration of an axially accelerating viscoelastice string[J].Acta Mech Sinica,2004,20(3):307-316.
[5]	ZHANG W,SONG C Z.Higher-dimensional periodic and chaotic oscillations for viscoelastic moving belt with multiple internal resonances[J].International Journal of Bifurcation and Chaos,2007,17(5):1637-1660.
[6]	HUANG J S,FUNG R F,LIN C H.Dynamic stability of a moving string undergoing three-dimensional vibration[J]. International Journal of Mechanics Science,1995,37:145-160.
[7]	LIU Y Q,ZHANG W,CHEN L H.Nonplanar periodic and chaotic oscillation of an axially moving viscoelastic belt with one-to-one internal resonance[J].International Journal of Nonlinear Sciences and Numerical Simulation,2007,8(4):589-600.
[8]	WICKERT J A,MOTE C D,Jr.Classical vibration analysis of an axially-moving continua[J].ASME Journal of Applied Mechanis,1990,57:738-744.

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