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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 plate flutter theory, a two-dimensional coupled flutter equation with eight flutter derivatives in the air of the bridge section is established. By reasonable assumption, the real and imaginary parts of the two sides of the bridge are equal and simplified A reduced order solution method. Compared with the typical method and other methods, the order of the equation is reduced and the calculation equation is simplified. In addition, based on Van der Put formula and engineering example, a simplified calculation formula of flutter critical wind speed of long-span cable-stayed bridge is established according to the formula of vertical bending frequency and torsional fundamental frequency of long-span bridge according to Code for Design of Wind-resistant Bridge and Highway. . Through the comparative analysis of examples, the simplified formulas of vertical bending fundamental frequency approximation and flutter critical wind speed are simple and the precision can meet the requirement of actual project.