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以随机振动理论为基础,对Scanlan基于桥梁的颤抖振分析理论加以气动导纳函数修正应用于列车抖振分析中。提出了列车抖振反应谱理论与计算方法。水平风谱引用Simiu经验公式,竖向风谱引用Panofsky-McCormick竖向风谱经验公式,气动导纳函数选用Vickery的圆柱截面和棱柱截面的近似公式,计算出了车体和转向架的一阶升沉、横移和侧滚的抖振反应谱。结果表明:随风速增大,抖振反应增长迅猛,随风速线性增大,列车抖振反应呈指数增长,该结果符合动力学特征;转向架的抖振反应比车体的抖振反应大很多,无论是升沉、横移和侧滚均大出一个数量级以上。
Based on the theory of stochastic vibration, the chatter vibration analysis theory based on bridge is applied to the chatter vibration analysis of train based on the correction of aerodynamic admittance function. The theory and calculation method of train chattering response spectrum are proposed. The horizontal wind spectrum refers to the Simiu empirical formula. The vertical wind spectrum refers to the experience formula of Panofsky-McCormick vertical wind spectrum, and the aerodynamic admittance function uses Vickery’s cylindrical section and approximate formula of prism section to calculate the first order of body and bogie Flutter response of heave, traverse and roll. The results show that the chattering response increases rapidly with the increase of wind speed, and the chattering response exponentially increases with the increase of wind speed. The result is in accordance with the dynamic characteristics. The chattering response of the bogie is higher than that of the vehicle body Much larger, whether it is heave, traverse and roll, are an order of magnitude larger.