非一致地震激励下大跨度桥梁弹塑性随机响应分析研究

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (12) : 297-304.

论文

刘小璐1，苏成2，聂铭1

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Inelastic random response analysis of long-span bridges under non-uniform seismic excitation

LIU Xiaolu1, SU Cheng2, NIE Ming1

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摘要

大跨度桥梁地震激励具有明显的非一致性和随机性，且在强震作用下大桥部分构件会进入弹塑性状态，然而目前尚缺乏非一致地震激励下大跨度桥梁弹塑性随机响应的有效计算方法。在大质量法的基础上推导了非一致地震激励下大跨度桥梁弹塑性动力响应的时域显式表达式，利用该表达式的降维列式优势，仅需针对结构弹塑性单元自由度进行迭代计算，进而对大跨度桥梁结构快速开展弹塑性时程分析；结合蒙特卡罗法，高效获取非一致地震激励下大跨度桥梁的弹塑性随机响应。以某主跨为1 200 m的悬索桥为工程实例，采用纤维梁柱单元模拟大桥弹塑性构件，开展顺桥向非一致地震激励下的弹塑性时程分析以及弹塑性随机振动分析，验证了该方法的正确性和高效性。研究结果表明，该大桥非一致地震激励下的内力标准差和平均峰值比一致地震激励下的结果既可能偏大也可能偏小。

Abstract

Seismic excitation at different supports of long-span bridges is usually non-uniform and essentially random, and some structural components of bridges will be in inelastic under strong earthquakes.So far, there is no effective method to calculate the inelastic random response of long-span bridges under non-uniform seismic excitation.Based on the large-mass method, the time-domain explicit expression for inelastic dynamic responses was derived for long-span bridges under non-uniform seismic excitation.By use of the time-domain explicit expression, only the degree of freedoms associated with the inelastic elements were involved in iterative calculation, thus inelastic time-history analysis could be conducted efficiently.Combined with the Monte-Carlo simulation, the inelastic random responses of long-span bridges under non-uniform excitation could be obtained efficiently.A suspension bridge with span of 1 200 m was taken as the engineering example, where the inelastic components were simulated by the fiber beam-column element model, and nonlinear random vibration analysis was conducted on the bridge under non-uniform seismic excitation along the bridge to verify the accuracy and efficiency of the present method.The result shows that the standard deviations and mean peak values of the internal forces of the bridge under non-uniform seismic excitations may be larger or smaller than those under uniform seismic excitations.

导出引用

刘小璐1，苏成2，聂铭1. 非一致地震激励下大跨度桥梁弹塑性随机响应分析研究[J]. 振动与冲击, 2021, 40(12): 297-304

LIU Xiaolu1, SU Cheng2, NIE Ming1. Inelastic random response analysis of long-span bridges under non-uniform seismic excitation[J]. Journal of Vibration and Shock, 2021, 40(12): 297-304

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