用Ritz法分析江阴悬索桥地震反应的影响

江阴悬索桥采用钢加劲梁和钢筋混凝土桥塔,这使得阻尼在全桥中分布不均匀,导致主坐标系中的运动方程耦联。为了分析地震荷载作用下非经典阻尼对江阴桥的影响,用Lanczos过程生成的与外荷载相关的实Ritz向量,再结合拟力叠代法解江阴桥在地震作用下非经典阻尼动力反应。通过分析表明,非经典阻尼对江阴悬索桥的地震反应有明显的影响,用经典阻尼模型得不出准确的解。此外,通过与振型叠加法比较,此算法有明显高的计算效率。

RITZ METHOD FOR SEISMIC RESPONSE ANALYSIS OF JIANGYIN SUSPENDED BRIDGE WITH NON-CLASSICAL DAMPING

Jiangyin Suspended Bridge consists of a steel deck and two concrete towers, which leads to non-uniform distribution of damping on the complete bridge and makes the dynamic equation coupling in the normal coordinates. The real Ritz vector generated by utilizing the load dependent vector in the Lanczos process together with pseudo-force iteration method are used to analyze seismic responses of Jiangyin suspended bridge considering non-classical damping. The load dependent vector algorithms employ recurrence equations analogous to the Lanczos algorithm. Solutions of seismic responses of Jiangyin Bridge show that this method has much higher efficiency than the modal superposition procedure. It is also concluded that the non-classical damping has a significant influence on the seismic responses of Jiangyin Suspended Bridge.