| 轴向流中圆柱体的非线性动力学分析 |
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| 引用本文： | 李宁,金基铎.轴向流中圆柱体的非线性动力学分析[J].沈阳航空工业学院学报,2011,28(5):23-26. |
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| 作者姓名： | 李宁 金基铎 |
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| 作者单位： | 沈阳航空航天大学航空宇航工程学院,辽宁沈阳,110136 |
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| 基金项目： | 国家自然科学基金(项目编号:10872135) |
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| 摘 要： | 通过引入流体摩擦力的二次阻尼项，推导出了轴向流中两端简支圆柱体的新的运动微分方程。对添加二次阻尼项的运动微分方程进行了无量纲化和Ritz-Galerkin离散。通过数值模拟，对两端铰支圆柱体的稳定性进行了系统的分析，并得出颤振发生的临界流速条件。
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| 关 键 词： | 非线性 圆柱体 稳定性 颤振 二次阻尼项 |
Analysis on nonlinear dynamics of a cylinder subjected to axial flow |
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| LI Ning,JIN Ji-duo.Analysis on nonlinear dynamics of a cylinder subjected to axial flow[J].Journal of Shenyang Institute of Aeronautical Engineering,2011,28(5):23-26. |
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| Authors: | LI Ning JIN Ji-duo |
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| Institution: | LI Ning,JIN Ji-duo(School of Aerospace Engineering,Shenyang Aerospace University,Liaoning Shenyang 110136) |
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| Abstract: | This paper presents a weakly nonlinear equation of motion derived for the simply supported cylinder subjected to axial flow,adding the quadratic terms in the expression of the frictional force.The equation of motion is discretized by the Rite-Galerkin method with the three-mode expansion,and the numerical analysis is performed with the discretized equation.Bifurcation diagrams obtained through numerical analysis show that a flutter around the trivial equilibrium may exist for a high enough flow(as predicted... |
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| Keywords: | nonlinear cylinder instability flutter quadratic terms |
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