非经典阻尼对悬索桥地震反应的影响
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摘要
我国建设了四座大跨悬索桥。现代悬索桥多使用钢加劲梁和钢筋混凝土桥塔，使得其阻尼分布不均而具有非经典阻尼性质，导致主座标系的运动方程耦联。本文讨论了非经典阻尼系统运动方程的几种解法，并编制了通用软件。对青马桥和虎门桥的地震分析表明，非经典阻尼对悬索桥地震反应有明显影响，用经典阻尼解法无法得出可靠的解。
Modern suspension bridges generally consist of steel stiffening deck and RC pylons and piers, that makes damping unequally distributed in complete bridges.This non-proportional damping induces coupled equations of motion of bridges in the normal coordinates.This paper discusses the for methods of solving the coupled-by-damping equations of motion and their implementation on PC computers. Seismic analysis of Tsing Ma and Humen bridges show that the non- proportional damping significantly influences seismic responses of suspension bridges, and the methods without consideraion of the non-proportional damping can not give reliable results of seismic responses of suspension bridges.
Modern suspension bridges generally consist of steel stiffening deck and RC pylons and piers, that makes damping unequally distributed in complete bridges.This non-proportional damping induces coupled equations of motion of bridges in the normal coordinates.This paper discusses the for methods of solving the coupled-by-damping equations of motion and their implementation on PC computers. Seismic analysis of Tsing Ma and Humen bridges show that the non- proportional damping significantly influences seismic responses of suspension bridges, and the methods without consideraion of the non-proportional damping can not give reliable results of seismic responses of suspension bridges.
引文
1 Clough R W, Penzien J.Dynamics of Structures.New York: McGraw-Hill, Inc., 1993
2 Caughey T K. Classical Normal Modes in Dampee Linear Systems.Joural of Applied Mechanics, 1960, 27 (4)
3 Foss K A. Coordinates Which uncouple the Equations of Motion of Damped Linear Dynamic Systems.Journal of Applied Mechanics,1958, 32 (4)
4 Claret A M, Venancio-Filho F.A Model Superposition Pseudo-Forces Method for Dynamic Analysis of Structural Systems with Non-Prop-ortional Damping.EESD, 1991, 20 (4)
5 Ibrahimbegovic A, Wilson E L.Simple Numerical Algorithms for the Mode Superposition Analysis of Linear Structural Systems with Non-proportional damping can not give reliable results of seismic responses of suspension bridges.Keywords: non-proporitional damping,Rayleigh damping,Suspenision bridge,seismic response
6秦权,罗颖,孙浩.悬索桥上部结构的抗震设计.清华大学学报(自然科学版),1998,39(12)
2 Caughey T K. Classical Normal Modes in Dampee Linear Systems.Joural of Applied Mechanics, 1960, 27 (4)
3 Foss K A. Coordinates Which uncouple the Equations of Motion of Damped Linear Dynamic Systems.Journal of Applied Mechanics,1958, 32 (4)
4 Claret A M, Venancio-Filho F.A Model Superposition Pseudo-Forces Method for Dynamic Analysis of Structural Systems with Non-Prop-ortional Damping.EESD, 1991, 20 (4)
5 Ibrahimbegovic A, Wilson E L.Simple Numerical Algorithms for the Mode Superposition Analysis of Linear Structural Systems with Non-proportional damping can not give reliable results of seismic responses of suspension bridges.Keywords: non-proporitional damping,Rayleigh damping,Suspenision bridge,seismic response
6秦权,罗颖,孙浩.悬索桥上部结构的抗震设计.清华大学学报(自然科学版),1998,39(12)
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