| STABILITY AND LOCAL BIFURCATION IN A SIMPLY-SUPPORTED BEAM CARRYING A MOVING MASS |
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| 作者姓名： | Liu Pan Ni Qiao Wang Lin Yuan Liang |
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| 作者单位： | Department of Mechanics，Huazhong University of Science and Technology，Wuhan 430074，China |
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| 摘 要： | The stability and local bifurcation of a simply-supported flexible beam(Bernoulli- Euler type)carrying a moving mass and subjected to harmonic axial excitation are investigated. In the theoretical analysis,the partial differential equation of motion with the fifth-order nonlinear term is solved using the method of multiple scales(a perturbation technique).The stability and local bifurcation of the beam are analyzed for 1/2 sub harmonic resonance.The results show that some of the parameters,especially the velocity of moving mass and external excitation,affect the local bifurcation significantly.Therefore,these parameters play important roles in the system stability.
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| 关 键 词： | 稳定性 局部分岔 简单支撑梁 移动块 |
| 收稿时间： | 11 January 2007 |
| 修稿时间： | 2007-01-112007-06-11 |
STABILITY AND LOCAL BIFURCATION IN A SIMPLY-SUPPORTED BEAM CARRYING A MOVING MASS |
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| Liu Pan Ni Qiao Wang Lin Yuan Liang.STABILITY AND LOCAL BIFURCATION IN A SIMPLY-SUPPORTED BEAM CARRYING A MOVING MASS[J].Acta Mechanica Solida Sinica,2007,20(2):123-129. |
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| Authors: | Liu Pan Ni Qiao Wang Lin Yuan Liang |
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| Institution: | 1. Young Researchers and Elite Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran;2. Department of Mechanical Engineering, University of Tabriz, P.O. Box 516616471, Tabriz, Iran |
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| Abstract: | The stability and local bifurcation of a simply-supported flexible beam(Bernoulli- Euler type)carrying a moving mass and subjected to harmonic axial excitation are investigated. In the theoretical analysis,the partial differential equation of motion with the fifth-order nonlinear term is solved using the method of multiple scales(a perturbation technique).The stability and local bifurcation of the beam are analyzed for 1/2 sub harmonic resonance.The results show that some of the parameters,especially the velocity of moving mass and external excitation,affect the local bifurcation significantly.Therefore,these parameters play important roles in the system stability. |
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| Keywords: | stability local bifurcation simply-supported beam moving mass |
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