随机地震作用下单自由度线性体系的能量法分析

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• 英文论文题名：Energy method analysis of SDOF linear system subjected to stochastic seismic excitation
• 论文作者：黄斌 ; 郝良玉 ; 郭文豪 ; 操子晨
• 英文论文作者：Huang Bin ; Hao Liangyu ; Guo Wenhao ; Cao Zichen ; Wuhan University of Technology
• 年：2016
• 作者机构：武汉理工大学;
• 论文关键词：结构抗震 ; 随机振动 ; 能量法 ; 瞬态地震输入能
• 英文论文关键词：structure anti-seismic ; random vibration ; energy method ; transient seismic input energy
• 会议召开时间：2016-10-27
• 会议录名称：第九届全国防震减灾工程学术研讨会论文集
• 语种：中文
• 分类号：TU311.3
• 学会代码：OGTY
• 会议名称：第九届全国防震减灾工程学术研讨会
• 会议地点：中国安徽合肥
• 主办单位：中国土木工程学会、中国工程院土木、水利与建筑工程学部、中国土木工程学会防震减灾工程技术推广委员会、合肥工业大学、安徽省住房和城乡建设厅
• 学会名称：中国土木工程学会
• 页数：11
• 文件大小：447k
• 原文格式：O
• 会议级别：全国

摘要

提出了瞬态地震输入能的概念,并利用随机振动理论,对平稳随机地震作用下,单自由度线性体系地震输入能量的统计特征及其影响因素进行了研究。从频域上推导了平稳反应阶段,单自由度线性体系瞬态地震输入能均值、方差和地震总输入能均值的理论公式,与时程分析法计算得到的能量反应的统计值进行了比较分析,初步验证了理论公式的准确性。研究表明,平稳随机地震作用下其瞬态地震输入能的均值和方差是与时间无关的常数,它们仅与地震动的频谱特性和结构的动力特性相关。同时瞬态地震输入能的均值谱和方差谱的研究结果表明,结构的阻尼比越大,其瞬态地震输入能均值谱和方差谱的峰值越小;自振周期相同时,瞬态地震输入能的方差随着阻尼比的减小而增大。
The concept of transient seismic input energy was proposed at first in this paper.Based on the theory of random vibration,the statistical characteristics and influence factors of seismic input energy of a SDOF linear system subjected to stochastic seismic excitation were studied.When the response of the SDOF linear system was in stable state,the half—closed form mean formula and variance formula of transient seismic input energy were derived,and then the mean of total seismic input energy was determined.The half—closed form solutions were compared with the statistics of the energy response calculated by the transient response analysis method to testify the correctness of the solutions.The text results show that the mean and variance of transient seismic input energy are independent of time as the SDOF linear system is under stationary random seismic excitation.They are only related to spectral characteristics of ground motion and dynamic characteristics of structure.The mean spectrum and variance spectrum of transient seismic input energy were studied in the example.The results of the example show that,if the damping ratio of the SDOF linear system increases,the peak value of mean spectrum and variance spectrum of transient seismic input energy will reduce.Given that the damping ratio decreases,the variance of transient seismic input energy will increase.

引文

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