Abstract：Aiming at the reliability problem of ground peak acceleration under the uncertain influence of the randomness of earthquake and site conditions, based on the probability distribution of equivalent site shear wave velocity, the expression of the analytical solution of ground peak acceleration in seismic response of horizontally layered foundations was derived at the same time with the probability density distribution function of the ground peak acceleration of the site, through the collected 100 actual soil measurements from a site in a science and technology city in Zhejiang, Flac3D was used to simulate and analyze the numerical solution of the ground peak acceleration, and the probability density distribution function of the ground peak acceleration of the site was fitted. On this basis, the confidence interval equation of the ground peak acceleration of the site at any reliability level was given. The results show that the seismic response ground peak acceleration of the horizontal layered foundation site obtained by analytical or numerical analysis conforms to the normal distribution, and the maximum allowable deviation of the confidence interval of the seismic response ground peak acceleration obtained by the analytical analysis is more than that obtained by the numerical analysis. The maximum allowable deviation is less, and the peak ground acceleration obtained by numerical analysis is more discrete than the distribution of peak ground acceleration obtained by analytical analysis.
梁师俊，蒋蓓. 水平土层地震响应地面峰值加速度可靠度研究[J]. 振动与冲击, 2022, 41(6): 30-36.
LIANG Shijun，JIANG Bei. Reliability of peak ground acceleration in the seismic response analysis on stratified soil. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(6): 30-36.
[1]陈志强,郑史雄,等.非平稳地震作用下非线性结构动力可靠性分析[J].振动与冲击,2020,39(19):121-129.
Chen Zhiqiang,Zheng Shixiong,etc. Dynamic reliability analysis for strong nonlinear structures under non-stationary earthquake[J].Journal of Vibration and Shock,2020,39(19):121-129.
[2]杨庆山,田玉基.地震地面运动及其人工合成[M].北京:科学出版社,2014.
[3]周锡元,王广军,苏经宇.场地地基设计地震[M].北京：地震出版社,1991.
[4]冯希杰,金学申.场地土对基岩峰值加速度放大效应分析[J].工程地质学报,2001,9(4):285-388.
Feng Xijie,Jin Xueshen.Analysis on amplification effect of bedrock peak acceleration caused by site soil[J].Journal of Engineering Geology，2001,9(4):285-388.
[5]薄景山,李秀领,刘红帅.土层结构对地表加速度峰值的影响[J].地震工程与工程震动,2003,23(3):35-40.
Bo Jingshan,Li Xiuling,Liu HongShuai.Effects of soil layer construction on peak acceleration of ground motions[J].Journal of Earthquake Engineering and Engineering Vibration,2003,23(3):35-40.
[6]吕悦军,彭艳菊,兰景岩,等.场地条件对地震动参数影响的关键问题[J].震灾防御技术,2008,3(2):126-135.
Lv Yuejun,Peng Yanju,Lan Jingyan,et al.Some Key problems about site effects on seismic ground motion parameters[J].Technology for Earthquake Disaster Prevention,2008,3(2):126-135.
[7]胡聿贤.地震工程学[M].北京：地震出版社，2006.
[8]张振浩,谭荣平,曹峰,等.地震持时和安全阈值对结构抗震可靠度的影响[J].防灾减灾工程学报,2017,37(5):705-711.
Zhang Zhenhao,Tan Rongping,Cao Feng,et al.Effect of seismic duration and safety bound on structural seismic reliability[J].Journal of Disaster Prevention and Mitigation Engineering,2017,37(5):705-711.
[9]杨朋超,薛松涛,谢丽宇.地震动作用下消能构建的动力可靠性分析[J].土木工程学报,2016,49(增刊1):115-118.
Yang Pengchao,Xue Songtao,Xie Liyu.Dynamic reliability analysis of passive energy dissipation devices subjected to seismic excitations[J].China Civil Engineering Journal,2016,49(S1):115-118.
[10]周继磊,杨迪雄,陈国海,等.近断层强震作用结构动力可靠度分析[J].建筑结构学报,2016,37(7):136-143.
Zhou Jilei,Yang dixiong,Chen Guohai,et al.Dynamic reliability analysis of structure subjected to near-fault strong ground motions[J].Journal of Building Structure,2016,37(7):136-143.
[11]侯红英,郭德存,刘红帅.地震动特性对岩质边坡安全系数的影响[J].水力发电,2012,38(10):17-20.
Hou Hongying,Guo Decun,Liu Hongshuai.Effects of input ground motion characters on safety factor of sock slope[J].Water Power,2012,38(10):17-20.
[12]孔宇阳,李珊.地震荷载作用下岩石边坡稳定性的拟动力分析及可靠度研究[J].科学技术与工程,2017,17(22):169-175.
Kong Yuyang,Li Shan.Pseudo-dynamic analysis and reliability study of stability of rock slope under seismic load[J].Science Technology and Engineering,2017,17(22):169-175.
[13]尚守平,李定乾,杜运兴.场地土随机地震反应分析及动力可靠度计算[J].工程抗震与加固改造,2007,29(1):26-32.
Shang Shouping,Li Dingqian,Du Yunxing.Response analysis and dynamic reliability calculation for random seismic of ground soil[J].Earthquake Resistant Engineering and Retrofitting,2007,29(1):26-32.
[14]陈达钦.场地地震响应随机动力可靠性分析[J].力学季刊,2001,22(2):228-233.
Chen Daqing.Study on random dynamic reliability of site seismic response [J].Chinese Quarterly of Mechanics, 2001, 22(2):228-233.
[15]KLEIBER M,SPANOS P D. The stochastic finite element method: basic perturbation technique and computer implementation[M]. NewYork: John Wiley & Sons,1992.
[16]NAESS A, MOE V. Efficient path integration methods for nonlinear dynamic systems[J]. Probabilistic Engineering Mechanics, 2000,15(2):221-231.
[17]SHINOZUKA M. Monte Carlo solution of structure dynamics[J]. Computers & Structures,1972,2(5/6):855-874.
[18] 李建亮,亢川川,何玉林,等.场地条件对地面加速度峰值离散型的影响研究[J]. 震灾防御技术,2011,6(4):417-426.
Li Jianliang, Kang Chuanchuan, He Yulin,etc. Effects of Site Condition on Discreteness of Ground Peak Accelerations [J]. Technology for Earthquake Disaster Prevention, 2011, 6(4):417-426.
[19]陈国兴,刘薛宁,等.深厚松软场地卓越周期与地面峰值加速度的空间变异特征：以苏州为例[J]. 岩土工程学报,2019,41(6):996-1004.
Chen Guoxing, Liu Xuening, etc. Spatial variation of predominant periods of site and amplifications of peak ground accelerations for deep sediment layers: case study of Suzhou City [J]. Chinese Journal of Geotechnical Engineering, 2019,41(6):996-1004.
[20] 刘方成,武景芳,陈斌,等.软土层几何特性与剪切波速对场地峰值加速度的影响[J]．震灾防御技术,2015,10(4)：840-852．
Liu Fangcheng, Wu Jingfang, Chen Bin.etc. Influence of the Geometric Properties and Shear Wave Velocity of a Soft Soil Layer on the PGA Response of Site[J]. Technology for Earthquake Disaster Prevention,2015,10(4)：840-852．
[21]梁师俊,陆吉赟,石树中.沉积相和地质年代对第四纪土动力学参数的影响[J].地震工程学报,2019,41(3):702-709.
Liang Shijun,Lu Jieyun,Shi Shuzhong.Influence of Sedimentary Facies and Geological Time on Kinetic Parameters of Quaternary Soil[J].China Earthquake Engineering Journal,2019,41(3):702-709.
[22]张克绪、凌贤长.岩土地震工程及工程振动[M].北京:科学出版社,2019.
[23] 建筑抗震设计规范：GB5011-2010[S]．北京：中国建筑工业出版社，2010.
