Seismic response and design method of single large span structures to spatially random ground motions

This article aims at studying the seismic response rules and design method of single large span structures to spatially varying ground motions. A corrected earthquake power spectral density model is first proposed and applied to the following solution process. The practical solution form of the multi-support pseudo excitation method is put forward and used to analyze the seismic response. The total response is divided into the pseudo-static and relative dynamic response. A simplified single large span structural model is used as the research object to study the response law when both the wave-passage effect and incoherence effect are considered. The result shows that the wave-passage effect and incoherence effect can both increase the pseudo-static response. The relative dynamic response is influenced by the form of trigonometric function, while wave-passage frequency influences the period and coherence function results in amplitude attenuation. When the ratio of natural frequency to wave-passage frequency equals to 0.5 n (n = 0, 1, 2,…), the structural seismic response reaches extreme value. Based on the derived response law, a method of quickly determining the most unfavorable conditions of the multi-support excitation effect is proposed for seismic design of single large span structures.

[1]  Alemdar Bayraktar,et al.  Stochastic response of seismically isolated highway bridges with friction pendulum systems to spatially varying earthquake ground motions , 2005 .

[2]  Wang Rong.  Study on dynamic characteristics and behavior of cable dome subjected to multi-dimensional and multi-point seismic excitations , 2005 .

[3]  Wei Xiao,et al.  APPLICATION POWER SPECTRAL DENSITY FUNCTIONS FOR SEISMIC DESIGN CODE OF BRIDGE , 2000 .

[4]  A. A. Dumanoglu,et al.  Spatial variability effects of ground motions on cable-stayed bridges , 2004 .

[5]  Zhou Qing.  Test and analysis of responses of hangar of capital airport under multiple excitations , 2004 .

[6]  E. Vanmarcke,et al.  Stochastic Variation of Earthquake Ground Motion in Space and Time , 1986 .

[7]  Frederic Ward Williams,et al.  Seismic spatial effects for long-span bridges, using the pseudo excitation method , 2004 .

[8]  Lin Jia-hao.  Seismic random vibration analysis of bridges and production of input power spectrum , 2007 .

[9]  Lin Jia-hao,et al.  A fast CQC algorithm of psd matrices for random seismic responses , 1992 .

[10]  A. Kiureghian,et al.  Response spectrum method for multi‐support seismic excitations , 1992 .

[11]  A G Davenport,et al.  NOTE ON THE DISTRIBUTION OF THE LARGEST VALUE OF A RANDOM FUNCTION WITH APPLICATION TO GUST LOADING. , 1964 .

[12]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[13]  Kiyoshi Kanai,et al.  Semi-empirical Formula for the Seismic Characteristics of the Ground , 1957 .

[14]  T. K. Datta,et al.  Seismic behaviour of cable-stayed bridges under multi-component random ground motion , 1999 .

[15]  Hong Hao.  Response of two-way eccentric building to nonuniform base excitations , 1998 .

[16]  Qingshan Yang,et al.  Response analysis of national stadium under spatially varying earthquake ground motions , 2006 .

[17]  Li Zhong.  Random seismic response analysis of long - span spatial lattice structure under three - dimensional and multi - support earthquake excitations , 2005 .

[18]  Marc O. Eberhard,et al.  EFFECTS OF SPATIALLY VARYING GROUND MOTIONS ON SHORT BRIDGES , 1998 .

[19]  Ji-hong Ye,et al.  Application of the Pseudo-Excitation Method with Spatial Coherence in Random Vibration Analysis of Long-Span Space Structures , 2007 .

[20]  H. L. Wong,et al.  Response of a rigid foundation to a spatially random ground motion , 1986 .

[21]  Ernesto Heredia-Zavoni,et al.  Torsional response of symmetric buildings to incoherent and phase‐delayed earthquake ground motion , 2003 .

[22]  H. Tajimi,et al.  Statistical Method of Determining the Maximum Response of Building Structure During an Earthquake , 1960 .

[23]  Li Zhongxian.  Influence of wave travelling effect on random seismic responses of long-span spatial structures , 2008 .

[24]  Hong-Nan Li,et al.  Seismic Response of a Steel Trussed Arch Structure to Spatially Varying Earthquake Ground Motions Including Site Effect , 2010 .

[25]  Shilin Dong,et al.  Seismic design for steel trussed arch to multi-support excitations , 2007 .

[26]  M. K. Kaul,et al.  Stochastic characterization of earthquakes through their response spectrum , 1978 .