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桥梁颤振方程降阶法及临界风速公式简化 被引量:1

An Order Reduction Method of Bridge Flutter Equation and a Simplified Formula of Critical Flutter Wind Velocity
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摘要 基于平板颤振理论,建立了桥梁断面在空气中的含有8个颤振导数的二维耦合颤振方程,通过合理假设,令方程两边的实部和虚部分别相等,并化简分析,提出了一种降阶求解方法。与典型方法及其他方法相比,降低了方程阶次,简化了计算方程式。此外,根据《公路桥梁抗风设计规范》的大跨桥梁竖弯基频公式和扭转基频公式,基于Van der Put公式,结合工程实例,建立了大跨度斜拉桥颤振临界风速简化计算公式。通过结合实例对比分析:竖弯基频近似公式和颤振临界风速简化公式简便,精度满足实际工程的要求。 Based on the flutter theory of flat plate,the 2D coupled flutter equation of bridge in air involving 8 flutter derivatives was established,and an order reduction method was proposed by reasonable assumptions and simplified analysis through making both sides of the real and imaginary parts equal.The equation order was reduced and the formula was simplified comparing with the typical method and other methods.Besides,according to the vertical bending and torsional fundamental frequency formulas of long-span bridge in Wind-resistant Design Specification for Highway Bridges,the simplified critical flutter wind velocity formula for long-span cable-stayed bridge was established based on Van der Put formula and some engineering projects.The vertical-frequency approximate formula and simplified critical flutter wind speed formula are simple and the accuracy is satisfied with requirements by comparing with practical engineering.
作者 邱可 孙作玉
出处 《公路交通科技》 CAS CSCD 北大核心 2011年第11期105-109,共5页 Journal of Highway and Transportation Research and Development
关键词 桥梁工程 简化公式 降阶法 颤振 临界风速 bridge engineering simplified formula order reduction method flutter critical wind velocity
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