摘要
为评价单层球面网壳结构抗震性能,需充分考虑地震激励的随机性以及非平稳性.结合概率密度演化方法,可得到单层球面网壳结构动力响应的概率信息及可靠度.首先,采用谱表示-随机函数方法,生成符合不同设防要求的全非平稳地震动,其平均反应谱与规范反应谱拟合效果理想,通过概率密度演化方法考察了单层球面网壳结构最大位移的概率密度演化全过程;进一步地,分别从宏观和微观层次上选取2个失效评价指标,通过引入等效极值分布思想,可获得单层球面网壳结构抗震可靠度分析所关心的动力响应极值分布;最后通过参数分析,评价了不同参数对单层球面网壳结构抗震可靠度的影响.与传统方法相比,本文方法从随机性的角度评价网壳结构的抗震性能更加合理,并且兼顾了效率和精度.
To evaluate the seismic performance of single-layer spherical reticulated shell,the randomness and non-stationarity of seismic excitations need to be sufficiently taken into account.In conjunction with the probability density evolution method(PDEM),the probabilistic information of dynamic response and reliability can be readily obtained.First,the random function based spectral representation method is employed to model the fully non-stationary seismic ground motions,which meets the requirements of different fortifications.Moreover,the average response spectrum accords well with the target response spectrum.Then,the instantaneous probability density evolution process of the shell’s maximum displacement is investigated from the perspective of PDEM.Further,two indices,which characterize the failure of the shell structure,are selected from macro and micro levels,respectively.By introducing the idea of equivalent extreme-value event,one can obtain the extreme value distribution of response for seismic reliability analysis.Finally,through carrying out the parametric analyses,the effect of different parameters on the seismic reliability of the shell can be evaluated.Compared with the traditional methods,the proposed method can evaluate the seismic performance of single-layer spherical reticulated shells fromthe perspective of randomness,which is much more reasonable.Besides,the tradeoff of efficiency and accuracy can be also ensured.
作者
徐军
袁子豪
XU Jun;YUAN Zihao(College of Civil Engineering,Hunan University,Changsha 410082,China)
出处
《湖南大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2019年第11期69-78,共10页
Journal of Hunan University:Natural Sciences
基金
国家自然科学基金资助项目(51608186)
中央高校基本科研经费资助项目(531107040890)
湖南省自然科学基金资助项目(2017JJ3016)~~
关键词
单层球面网壳
地震动
概率密度演化
随机动力响应
动力可靠度
single-layer spherical reticulated shell
ground motion
probability density evolution method
stochastic dynamic response
dynamic reliability