行波效应下对称多跨大跨结构的随机地震响应研究

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (20) : 9-16.

论文

赵博1，王元清2，陈志华1，石永久2

作者信息 +

Study on the random seismic response of large symmetric multi-span structures to wave-passage effect

ZHAO Bo1 WANG Yuan-qing2 CHEN Zhi-hua1 SHI Yong-jiu2

Author information +

文章历史 +

摘要

为了研究行波效应对于多跨大跨结构随机地震响应的影响机理，本文首先以两跨结构简化模型为研究对象，选取柱顶相对位移作为计算响应量，采用多点虚拟激励法对结构的响应功率谱公式进行推导，求得结构响应极值随行波频率的变化规律，最后将此方法拓展至多跨结构，分析不同跨数以及不同支承形式对于多点激励下结构地震响应的变化规律。计算结果表明：受拟静力响应影响，多跨结构中柱柱顶相对位移受行波效应影响更加显著，在大跨结构抗震设计中应该引起重视；随着跨数增加结构响应极值并没有明显提升，但不同支承形式可能导致结构受多点激励效应影响不同，针对具体的支承形式结构进行具体分析是必要的。

Abstract

This paper aimed at studying the influence mechanism of the seismic response of large multi-span structures to wave-passage effect. A simplified two span structural model is firstly used as the research object and the relative displacement of columns are used as the calculated response. The response power spectrum density formulae are derived by the multi-support pseudo excitation method. The changing law of the structural seismic peak response with wave-passage frequency is also calculated. These procedures are extended to multi-span structures to study the influence of different amounts of spans and different supporting forms to the structural seismic response. The result shows that: due to the pseudo static response, the relative displacement of the middle columns is larger than the corner columns that should be paid more attention in structural seismic design; the peak response does not increase a lot with the increasing amount of spans, however, different supporting forms may lead to distinct response. It is necessary to calculate the structural response to multi-support excitations according a specific supporting form.

导出引用

赵博1，王元清2，陈志华1，石永久2. 行波效应下对称多跨大跨结构的随机地震响应研究[J]. 振动与冲击, 2016, 35(20): 9-16

ZHAO Bo1 WANG Yuan-qing2 CHEN Zhi-hua1 SHI Yong-jiu2. Study on the random seismic response of large symmetric multi-span structures to wave-passage effect[J]. Journal of Vibration and Shock, 2016, 35(20): 9-16

参考文献

[1] Zerva A, Zervas V. Spatial variation of seismic ground motions: An overview [J]. Appl Mech Rev, 2002, 55(3): 271-297.
[2] Bai F L, Hao H, Li H N. Seismic response of a steel trussed arch structure to spatially varying earthquake ground motions including site effect [J]. Advances in Structural Engineering, 2010, 13(6): 1089-1103.
[3] Ernesto H Z, Adrian L. Torsional response of symmetric buildings to incoherent and phase-delayed earthquake ground motion [J]. Earthquake Engineering & Structural Dynamics, 2003, 32(7): 1021-1038.
[4] Hao H. Response of two-way eccentric building to nonuniform base excitation [J]. Engineering Structures, 1998, 20(8): 677–684.
[5] Sun J M, Ye J H, Cheng W R, Zhang Q L. Application of the pseudo-excitation method with spatial coherence in random vibration analysis of long-span space structures [J]. Advances in Structural Engineering, 2007, 10(2): 135-151.
[6] 丁阳, 张笈玮, 李忠献. 行波效应对大跨度空间结构随机地震响应的影响[J]. 地震工程与工程振动, 2008, 28(1): 24-31.
Ding Y, Zhang J W, Li Z X. Influence of wave travelling effect on random seismic responses of long-span spatial structures [J]. Journal of Earthquake Engineering and Engineering Vibration, 2008, 28(1): 24-31.
[7] 张亚辉, 陈艳, 李丽媛等. 桥梁抗震随机响应分析及输入功率谱研究[J]. 大连理工大学学报, 2007, 47(6): 786-792.
Zhang Y H, Chen Y, Li L Y, et al. Seismic random vibration analysis of bridges and production of input power spectrum [J]. Journal of Dalian University of Technology, 2007, 47(6): 786-792.
[8] 江洋. 大跨度建筑结构多点输入地震响应计算与抗震设计方法研究[D], 北京: 清华大学, 2010.
Jiang Y. Research on the earthquake response analyses and seismic design methods for large-span building structures under multi-support excitations [D], Beijing: Tsinghua University, 2010.
[9] Lin J H, Zhang Y H, Li Q S, et al. Seismic spatial effects for long-span bridges, using the pseudo excitation method [J]. Engineering Structures, 2004, 26(9): 1207-1216.
[10] Clough R W, Penzien J. Dynamics of structures [M], New York：McGraw-Hill, 1993.
[11] Davenport A G. Note on the distribution of the largest value of a random function with application to gust loading [J]. Proceedings of the Institution of Civil Engineers, 1964, 28(2): 187-196.