类梯形山体的地震动力响应分析

张迎宾; 余鹏程; 赵兴权

doi:10.3969/j.issn.0258-2724.2015.03.008

类梯形山体的地震动力响应分析

doi: 10.3969/j.issn.0258-2724.2015.03.008

基金项目:

国家973计划资助项目(2013CB036200)

国家自然科学基金资助项目(51408511)

详细信息

作者简介:
张迎宾(1983-),男,副教授,博士,研究方向为地震岩土工程等,电话:18349123566,E-mail:yingbinz719@home.swjtu.edu.cn

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- 文章访问数: 1050
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出版历程
- 收稿日期: 2014-05-07
- 刊出日期: 2015-06-25

Analytical Solutions of Earthquake Dynamic Responses of Trapezoid-Like Mountain

摘要

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.
- 地震边坡 /
- 动力响应 /
- 解析解 /
- 频率 /
- 类梯形山体
Abstract: 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.
- seismic slope /
- dynamic response /
- analytical solution /
- frequency /
- trapezoid-like mountain

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参考文献(44)

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文章访问数: 1050
HTML全文浏览量: 86
PDF下载量: 531
被引次数: 0

类梯形山体的地震动力响应分析

doi: 10.3969/j.issn.0258-2724.2015.03.008

作者简介: 张迎宾(1983-),男,副教授,博士,研究方向为地震岩土工程等,电话:18349123566,E-mail:yingbinz719@home.swjtu.edu.cn

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出版历程

Analytical Solutions of Earthquake Dynamic Responses of Trapezoid-Like Mountain

计量

出版历程

目录

作者简介:
张迎宾(1983-),男,副教授,博士,研究方向为地震岩土工程等,电话:18349123566,E-mail:yingbinz719@home.swjtu.edu.cn