类梯形山体的地震动力响应分析
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
摘要
为探讨地震作用对山体动力响应的影响,建立了双坡面为曲面的类梯形山体的剪切梁模型,给出了响应的理论解和梯形山体第1阶固有频率的简化表达式;计算获得了不同形状山体的最大相对位移、最大相对速度和最大绝对加速度,并将计算结果与有限元分析结果进行了比较.结果表明:梯形山体模型求解山体动力响应简单,而类梯形山体模型则能获得更精确的结果;山体动力响应在水平地震作用产生弯矩较小的情况下,理论解与有限元解接近;随泊松比增大,山体的第1阶固有频率略有增大;梯形和类梯形山体的最大相对位移、最大相对速度从底部到顶部逐渐增大,而最大绝对加速度则在山体约2/5高度处出现极小值.
In order to investigate the effect of earthquake loading on the dynamic responses of a mountain,a shear-beam model,an analytical method,for trapezoid-like mountains with two curved slopes was set up. The analytical solutions of the dynamic responses were obtained. A simplified empirical expression of the first order natural frequency of a trapezoid mountain was given. The maximum relative displacements,maximum relative velocities and maximum absolute accelerations of trapezoid and trapezoid-like mountains were calculated and compared with those obtained by FEM(finite element method). The research results show that the trapezoid model is easy to obtain the responses,but the trapezoid-like model is more accuracy. The analytical solutions are close to those obtained by FEM under the condition of a small moment. The first order natural frequency of a mountain increases slightly with the growth of Poisson's ratio. The maximum relative displacements and maximum relative velocities of a mountain become larger from its bottom to its top,while its maximum absolute accelerations reach the minimum at the height of its approximately 2 /5 height.
引文
[1]刘红帅,薄景山,吴兆营,等.土体参数对地表加速度峰值和反应谱的影响[J].地震研究,2005,28(2):167-168.LIU Hongshuai,BO Jingshan,WU Zhaoying,et al.Effects of soil parameters on ground surface acceleration peak and response spectra[J].Journal of Seismological Research,2005,28(2):167-168.
    [2]MONONOBE N,TAKATA A,MATUMURA M.Seismic stability of the earth dam[C]∥Proceeding of the 2nd Congress on Large Dams(CLD'36).Washington D C:[s.n.],1936:435-442.
    [3]张锐.高土石坝地震作用效应及坝坡抗震稳定分析研究[D].大连:大连理工大学土木工程学院,2008.
    [4]GAZETAS G.New dynamic model for earth dams evaluated through case histories[J].Soils and Foundations,1981,21(1):67-78.
    [5]DAKOULAS P,GAZETAS G.A class of inhomogeneous shear models for seismic response of dams and embankments[J].International Journal of Soil Dynamics and Earthquake Engineering,1985,4(4):166-182.
    [6]栾茂田,金崇磐,林皋.非均质堤坝振动特性简化分析[J].大连理工大学学报,1989,29(4):479-488.LUAN Maotian,JIN Chongpan,LIN Gao.A simplified approach to evaluation of vibration characteristics of nonhomogeneous embankments[J].Journal of Dalian University of Technology,1989,29(4):479-488.
    [7]DAKOULAS P,HSU C H.Response of dams in semielliptical canyons to oblique SH waves[J].Journal of Engineering Mechanics,1995,121(3):379-391.
    [8]孔宪京,张天明.土石坝与地基地震反应分析的波动-剪切梁法[J].大连理工大学学报,1994,34(2):173-179.KONG Xianjing,ZHANG Tianming.Wave motion-shear wedge beam method of seismic response analysis for embankment and soil deposit[J].Journal of Dalian University of Technology,1994,34(2):173-179.
    [9]王春玲,黄义,张为民.指数函数剪切模量的成层土地震反应解析解[J].长安大学学报:自然科学版,2003,23(4):15-17.WANG Chunling,HUANG Yi,ZHANG Weimin.General solution to earthquake response of stratified foundations with exponential function shear modulus[J].Journal of Chang'an University:Natural Science Edition,2003,23(4):15-17.
    [10]李湛,栾茂田.土石坝地震响应的非线性剪切条模型与对比分析[J].地震工程与工程振动,2006,25(5):41-49.LI Zhan,LUAN Maotian.Nonlinear shear slice model and comparative studies for seismic response analysis of earth and rock-fill dams[J].Earthquake Engineering and Engineering Vibration,2006,25(5):41-49.
    [11]肖晓春,潘一山,王秋香.影响剪切梁层间失效模型的参数分析[J].辽宁工程技术大学学报:自然科学版,2005,24(3):354-356.XIAO Xiaochun,PAN Yishan,WANG Qiuxiang.Parameter analysis influencing shear beam model for interface failure[J].Journal of Liaoning Technical University:Natural Science Edition,2005,24(3):354-356.
    [12]吴艳红,王春玲,梁志刚.幂函数模量成层土上剪切梁式结构的随机地震反应[J].西安建筑科技大学学报:自然科学版,2009,41(3):439-443.WU Yanhong,WANG Chunlin,LIANG Zhigang.Random earthquake response of shearing beam structure on the stratified foundations with power function modulus[J].Journal of Xi'an University of Architecture&Technology:Natural Science Edition,2009,41(3):439-443.
    [13]任慧,尚守平,李刚.非匀质场地地震反应的模态叠加法解[J].西北地震学报,2009,31(1):26-30.REN Hui,SHANG Shouping,LI Gang.Seismic response of inhomogeneous site by using the modesuperposition method[J].Northwestern Seismological Journal,2009,31(1):26-30.
    [14]ZHAO J X.Estimating modal parameters for a simple soft-soil site having a linear distribution of shear wave velocity with depth[J].Earthquake Engineering and Structural Dynamics,1996,25(2):175-177.
    [15]ZHAO J X.Modal analysis of soft-soil sites including radiation damping[J].Earthquake Engineering and Structural Dynamics,1997,26(1):108-112.
    [16]顾淦臣,沈长松,岑威钧.土石坝地震工程学[M].北京:中国水利水电出版社,2009:218-221.
    [17]张振宇,张立柱.偏微分方程[M].上海:复旦大学出版社,2011:56-59.
    [18]克拉夫R,彭津J.结构动力学[M].2版.王光远,译.北京:高等教育出版社,2006:302-303.

版权所有:© 2023 中国地质图书馆 中国地质调查局地学文献中心