| 计入脉动风速非线性项的随机稳定性分析 |
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| 引用本文： | 徐旭,曹志远,梁岗.计入脉动风速非线性项的随机稳定性分析[J].上海海事大学学报,2000,21(4):63-71. |
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| 作者姓名： | 徐旭 曹志远 梁岗 |
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| 作者单位： | 1. 同济大学工程力学与技术系,上海,200092
2. 上海海运学院工学院,上海,200135 |
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| 摘 要： | 将脉动风速及其非线性项引入到桥梁的自激力公式中 ,运用随机微积分理论与矩方程理论 ,得到双方向运动的桥梁断面的一阶矩与二阶矩的微分方程组。通过微分方程的数值方法 ,得到扭转驱动的桥梁断面随机振动的时程曲线 ,从而得到随机失稳的临界风速。研究表明 ,脉动风速非线性项使得扭转驱动的桥梁趋于稳定
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| 关 键 词： | 随机稳定性 矩方程 颤振 |
Analysis of Stochastic Stability Including the Nonlinear Item of Gust Velocity |
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| Xu Xu,Cao Zhiyuan,Liang Gang.Analysis of Stochastic Stability Including the Nonlinear Item of Gust Velocity[J].Journal of Shanghai Maritime University,2000,21(4):63-71. |
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| Authors: | Xu Xu Cao Zhiyuan Liang Gang |
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| Institution: | Xu Xu Cao Zhiyuan Liang Gang |
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| Abstract: | The along-wind gust velocity and its nonlinear item have been introduced into the expressions of self-excited forces in this paper,and the differential equations of 1-order and 2-order moment of bridge section moving in two directions have been formulated by using the theory of Stochastic Differential Equation and Moment equation.The critical wind velocity can be determined from the time-history of bridge section,which vibrates randomly in torsional direction.It is showed that the bridge driven in torsional direction is made to be more stable beacause of the nonlinear item of gust velocity. |
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| Keywords: | stochastic stability moment equation flutter |
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