饱和地基表面基础在Rayleigh波作用下的摇摆振动分析

›› 2012, Vol. 33 ›› Issue (12): 3689-3695.

饱和地基表面基础在Rayleigh波作用下的摇摆振动分析

王鹏¹，王军¹，蔡袁强^{1, 2}，丁光亚¹

1.温州大学建筑与土木工程学院，浙江温州 325035；2.浙江大学建筑工程学院，杭州 310058

收稿日期:2011-07-27 出版日期:2012-12-12 发布日期:2012-12-15
作者简介:王鹏，男，1984年生，博士，讲师，主要从事土动力学方面的研究工作
基金资助:
国家杰出青年基金（No. 51025827）；国家重点基础研究发展计划(973计划)前期专项（No. 2011CB411907）；国家自然科学基金（No. 50808145）

Analysis of rocking vibrations of a foundation on saturated soil excited by Rayleigh waves

WANG Peng¹, WANG Jun¹, CAI Yuan-qiang^{1, 2}, DING Guang-ya¹

1. College of Architecture and Civil Engineering, Wenzhou University, Wenzhou, Zhejiang 325035, China; 2. College of Architecture and Civil Engineering, Zhejiang University, Hangzhou 310058, China

Received:2011-07-27 Online:2012-12-12 Published:2012-12-15

摘要/Abstract

摘要： 考虑地基与基础的相互作用，运用Biot波动方程理论，研究了饱和地基表面有质量的刚性圆形基础在入射Rayleigh波作用下的摇摆振动问题。将饱和地基中的总波场分解为自由波场、刚体辐射波场及刚体散射波场，从而考虑基础对Rayleigh波的散射。采用Hankel变换求解土体控制方程，结合基础摇摆振动的混合边值条件以及Rayleigh波的动力作用获得基础摇摆振动振幅的表达式。计算结果分析了泊松比、基础质量、透水条件、土体渗透系数等对基础摇摆振动的影响。研究结果表明，与弹性介质相比，饱和地基中孔隙水的存在减弱了基础的摇摆振动，其作用效果与土体渗透系数及地基表面排水条件密切相关。

关键词: 摇摆振动, 饱和地基, 圆形基础, Rayleigh波, 散射

Abstract: Considering the interaction between soil and foundation, an investigation is put into rocking vibrations of a rigid circular foundation on the poroelastic soil excited by incident Rayleigh waves based on Biot’s dynamic theory. The free field, rigid-body radiation field and rigid-body scattering field are introduced in order to consider the scattering phenomena caused by the existence of the foundation. Using the Hankel integral transforms, the governing equations of the soil are solved. Combining with the mixed boundary-value condition at the interface between the soil and the foundation, expression of the rocking dynamic amplitude of the foundation under the action of the Rayleigh waves is obtained. Influences of the Poisson ratio, the mass of foundation, the boundary drainage, the permeability of soil on rocking vibrations of the foundation are determined through numerical calculation. Computed results show that pore water in the soil has weakening effect on rocking vibrations comparing with that in elastic half-space. And the weakening effect depends upon the boundary drainage and permeability of soil.

Key words: rocking vibrations, poroelastic half-space, circular foundation, Rayleigh waves, scattering

中图分类号:

TU 435

王鹏，王军，蔡袁强，丁光亚 . 饱和地基表面基础在Rayleigh波作用下的摇摆振动分析[J]. , 2012, 33(12): 3689-3695.

WANG Peng , WANG Jun , CAI Yuan-qiang , DING Guang-ya . Analysis of rocking vibrations of a foundation on saturated soil excited by Rayleigh waves[J]. , 2012, 33(12): 3689-3695.

参考文献

相关文章 15

[1]	周凤玺, 柳鸿博, 蔡袁强, . 饱和多孔热弹性介质中Rayleigh波传播特性分析[J]. 岩土力学, 2020, 41(1): 315-324.
[2]	周凤玺, 柳鸿博, . 非饱和土中Rayleigh波的传播特性分析[J]. 岩土力学, 2019, 40(8): 3218-3226.
[3]	刘中宪, 王治坤, 梁建文, 王楚楚, . 基于球面波势函数基本解方法的弹性波三维散射与动应力求解[J]. 岩土力学, 2019, 40(7): 2730-2738.
[4]	何颖, 于琴, 刘中宪, . 考虑散射效应沉积河谷空间相关多点地震动模拟[J]. 岩土力学, 2019, 40(7): 2739-2747.
[5]	史吏, 王慧萍, 孙宏磊, 潘晓东, . 群桩基础引发饱和地基振动的近似解析解[J]. 岩土力学, 2019, 40(5): 1750-1760.
[6]	李志远，李建波，林皋，韩泽军，. 基于子结构法的成层场地中沉积河谷的散射分析[J]. , 2018, 39(9): 3453-3460.
[7]	艾智勇，慕金晶, . 竖向简谐荷载下二维层状饱和地基的解析层元解[J]. , 2018, 39(7): 2632-2638.
[8]	李志远，李建波，林皋, . 局部复杂场地Rayleigh波传播特性分析的SBFEM模型研究[J]. , 2018, 39(11): 4242-4250.
[9]	徐颖，梁建文，刘中宪,. Rayleigh波在饱和半空间中圆形洞室周围的散射[J]. , 2017, 38(8): 2411-2425.
[10]	刘中宪，武凤娇，王冬，张海, . 弹性半空间夹杂群对平面SH波散射的快速多极多域边界元法模拟[J]. , 2017, 38(4): 1154-1163.
[11]	章敏，尚微，周忠超，郭诚,. 双层非饱和地基中Rayleigh波的传播特性[J]. , 2017, 38(10): 2931-2938.
[12]	齐辉，蔡立明，潘向南，张德伟，张洋. 直角域中凸起和孔洞对SH波的散射与地震动[J]. , 2015, 36(2): 347-353.
[13]	吴大志，张振营. 广义Gibson饱和地基中刚性圆板的扭转柔度系数[J]. , 2015, 36(12): 3393-3399.
[14]	吴大志，张振营. 埋置简谐扭转荷载作用下广义 Gibson饱和地基动力响应[J]. , 2015, 36(1): 149-155.
[15]	朱友群，朱鸿鹄，孙义杰，施斌，. FBG-BOTDA联合感测管桩击入土层模型试验研究[J]. , 2014, 35(S2): 695-702.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed