| HOPF BIFURCATION OF A NONLINEAR RESTRAINED CURVED PIPE CONVEYING FLUID BY DIFFERENTIAL QUADRATURE METHOD |
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| 作者姓名： | WangLin NiQiao HuangYuying |
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| 作者单位： | DepartmentofMechanics,HuazhongUniversityofScienceandTechnology,Wuhan430074,China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(No.10272051). |
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| 摘 要： | This paper proposes a new method for investigating the Hopf bifurcation of a curved pipe conveying fluid with nonlinear spring support. The nonlinear equation of motion is derived by forces equilibrium on microelement of the system under consideration. The spatial coordinate of the system is discretized by the differential quadrature method and then the dynamic equation is solved by the Newton-Raphson method. The numerical solutions show that the inner fluid velocity of the Hopf bifurcation point of the curved pipe varies with different values of the parameter,nonlinear spring stiffness. Based on this, the cycle and divergent motions are both found to exist at specific fluid flow velocities with a given value of the nonlinear spring stiffness. The results are useful for further study of the nonlinear dynamic mechanism of the curved fluid conveying pipe.
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| 关 键 词： | Hopf分叉 非线性振动 弯曲流疏运管 流体力学 Newton-Raphson理论 DQM 微分正交理论 |
| 收稿时间： | 15 June 2003 |
HOPF BIFURCATION OF A NONLINEAR RESTRAINED CURVED PIPE CONVEYING FLUID BY DIFFERENTIAL QUADRATURE METHOD |
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| WangLin NiQiao HuangYuying.HOPF BIFURCATION OF A NONLINEAR RESTRAINED CURVED PIPE CONVEYING FLUID BY DIFFERENTIAL QUADRATURE METHOD[J].Acta Mechanica Solida Sinica,2003,16(4):345-352. |
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| Authors: | Wang Lin Ni Qiao Huang Yuying |
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| Institution: | (1) Department of Mechanics, Huazhong University of Science and Technology, 430074 Wuhan, China |
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| Abstract: | This paper proposes a new method for investigating the Hopf bifurcation of a curved pipe conveying fluid with nonlinear spring support.The nonlinear equation of motion is derived by forces equilibrium on microelement of the system under consideration.The spatial coordinate of the system is discretized by the differential quadrature method and then the dynamic equation is solved by the Newton-Raphson method.The numerical solutions show that the inner fluid velocity of the Hopf bifurcation point of the curved pipe varies with different values of the parameter, nonlinear spring stiffness.Based on this,the cycle and divergent motions are both found to exist at specific fluid flow velocities with a given value of the nonlinear spring stiffness.The results are useful for further study of the nonlinear dynamic mechanism of the curved fluid conveying pipe. |
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| Keywords: | curved fluid conveying pipe Hopf bifurcation nonlinear vibration DQM |
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