Sensitivity analysis of 3-D flutter of large-span bridge based on differential method
WENG Xiangying1, DONG Rui2, GE Yaojun3
1. Fujian Provincial Key Lab of Civil Engineering New Technology & Imformationize, Fujian University of Technology, Fuzhou 350118, China;
2. College of Civil Engineering, Fuzhou University, Fuzhou 350118, China;
3. State Key Lab for Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China
Abstract：With the ability of indicating the dependency of critical flutter wind speed on design parameters, bridge flutter sensitivity is an important tool for long-span bridge aerodynamic optimizations. To assist bridge designers accurately and efficiently acquiring the influence of structural dynamic characteristics and flutter derivatives on the flutter performance of long-span bridges in the preliminary design stage, a three-dimensional local flutter sensitivity analysis method based on direct differentiation is proposed. By considering the orthogonality of the left and right eigenvectors of the system matrix, a set of normalized conditions for the multimode coupled bridge flutter is constructed under small variations of design parameters. Combined with the flutter critical condition, the sensitivity of the system eigenvalues and flutter critical wind speed to the design parameters are obtained. To verify the method, the flutter sensitivity of a simple supported beam with an ideal thin flat plate cross-section is carried out and compared with the numerical parameter study. It finds the two results agree well. The flutter sensitivity analysis of a large-span suspension bridge is conducted. The sensitivity results show that for a large-span bridge with a streamlined girder, the first symmetric vertical bending and first symmetric torsion modes have the greatest impact on bridge flutter. Optimization measures including increment of the damping ratio, modal mass, and fundamental frequency ratio of torsion to vertical bending mode will have positive influence on the bridge critical flutter wind speed. Among the flutter derivatives, has the most significant impact on the critical flutter wind speed, followed by , and , while the others can be ignored.
翁祥颖1, 董 锐2, 葛耀君3. 基于微分法的大跨度桥梁三维颤振敏感性分析[J]. 振动与冲击, 2024, 43(7): 205-213.
WENG Xiangying1, DONG Rui2, GE Yaojun3. Sensitivity analysis of 3-D flutter of large-span bridge based on differential method. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(7): 205-213.
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