中国安全科学学报 ›› 2024, Vol. 34 ›› Issue (6): 48-56.doi: 10.16265/j.cnki.issn1003-3033.2024.06.0987

• 安全工程技术 • 上一篇    下一篇

非平稳随机地震激励下多层框架-摇摆墙结构的响应分析

宋英华(), 马建, 张远进**()   

  1. 武汉理工大学 安全科学与应急管理学院,湖北 武汉 430070
  • 收稿日期:2023-12-14 修回日期:2024-03-18 出版日期:2024-06-28
  • 通讯作者:
    **张远进(1988—),男,湖北武汉人,博士,讲师,主要从事随机动力学方面的研究。E-mail:
  • 作者简介:

    宋英华 (1962—),男,湖北武汉人,博士,教授,主要从事公共安全与应急管理、公共管理、协同决策等方面的研究。E-mail:

  • 基金资助:
    湖北省自然科学基金资助(2021CFB017); 安全预警与应急联动技术湖北省协同创新中心资助项目(AY2023-1-3)

Response determination of multi-story frame-rocking wall structure under non-stationary random seismic excitation

SONG Yinghua(), MA Jian, ZHANG Yuanjin**()   

  1. School of Safety Science and Emergency Management, Wuhan University of Technology, Wuhan Hubei 430070, China
  • Received:2023-12-14 Revised:2024-03-18 Published:2024-06-28

摘要:

框架-摇摆墙是一种可有效提高建筑抗震性和韧性的组合自复位结构,为充分了解其在地震下的随机响应特性,构建多自由度框架-摇摆墙结构的简化非线性方程,并利用等效线性化,基于响应的伪谐波行为假设,构建含时变参数的等效线性动力方程;基于随机平均的原理,得出控制响应幅值概率密度函数(PDF)的时间演变形式的福克-普朗克-科尔莫哥洛夫(FPK)方程,最终得出随机响应时间相关方差的一阶微分方程;并以某教学楼一榀框架为样本构建算例模型进行验证。结果表明:近似解析方法具有优异的精确度,在保证随机响应时间相关方差准确性的前提下,相对于传统的蒙特卡罗模拟(MCS)方法可提高分析的效率;在可分离形式和不可分离形式的非平稳地震动功率谱模型的结果中,随机响应方差曲线趋势与随机地震激励的形式相关,且在分段式调制非平稳谱作用下其分段点表现出很明显的不平滑现象;不同类型的随机地震激励扰动下的结果证明了此方法优异的适用性。

关键词: 非平稳, 随机地震, 框架-摇摆墙结构, 响应分析, 随机平均

Abstract:

Frame-rocking wall was a composite self-resetting structure that could effectively improve the seismic resistance and toughness of buildings. To fully understand the random response characteristics of structures under earthquakes, a simplified nonlinear equation for a multi-degree-of-freedom frame-rocking wall structure was constructed, and an equivalent linear dynamic equation with time-varying parameters was constructed based on the assumption of pseudo harmonic behavior in response using equivalent linearization. Further, based on the principle of random averaging, the Fokker-Planck-Kolmogorov(FPK) equation could be derived to determine the time evolution form of probability density function(PDF) for controlling the amplitude of the response, and ultimately the first-order differential equation for the time-dependent variance of the random response could be obtained. Finally, a computational model was constructed using a framework of a certain teaching building as a sample for validation. The results show that the approximate analytical method has excellent accuracy, and while ensuring the accuracy of the random response time-related variance, it can improve the efficiency of analysis compared to traditional Monte Carlo simulation(MCS) methods. In the results of non-steady ground motion power spectrum models in separable and non-separable forms, the trend of the random response variance curve is related to the form of random seismic excitation, and its segmentation points show obvious unsmooth phenomena under the action of segmented modulation of non-stationary spectra. The results under different types of random seismic excitation disturbances demonstrate the excellent applicability of this method.

Key words: non-stationary, random earthquake, frame-rocking wall structure, response analysis, stochastic average

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