[1]付艳艳,余云燕.均质土体中部分埋入单桩基础的模态正交性研究[J].地震工程与工程振动,2019,39(04):115-125.[doi:10.13197/j.eeev.2019.04.115.fuyy.012]
 FU Yanyan,YU Yunyan.The orthogonality of modes of the single pile embedded partially in homogeneous soil[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2019,39(04):115-125.[doi:10.13197/j.eeev.2019.04.115.fuyy.012]
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均质土体中部分埋入单桩基础的模态正交性研究
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《地震工程与工程振动》[ISSN:/CN:]

卷:
39
期数:
2019年04
页码:
115-125
栏目:
论文
出版日期:
2019-09-30

文章信息/Info

Title:
The orthogonality of modes of the single pile embedded partially in homogeneous soil
作者:
付艳艳 余云燕
兰州交通大学 土木工程学院, 甘肃 兰州 730070
Author(s):
FU Yanyan YU Yunyan
School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
关键词:
部分埋入单桩基础纵向振动横向振动模态正交性回传射线矩阵法
Keywords:
single partially embedded pilelongitudinal vibrationtransverse vibrationmodesorthogonalitymethod of reverberation-ray matrix
分类号:
TU473
DOI:
10.13197/j.eeev.2019.04.115.fuyy.012
摘要:
将部分埋置于均质土体中的单桩基础划分为两个单元,分别建立各单元的纵向及横向振动运动方程,并求解各方程在频域中的解。结合各单元在局部对偶坐标系下的内力及位移的对偶变换关系及各节点的力平衡及位移协调方程,严格推导部分埋入单桩基础在局部对偶坐标系和单一局部坐标系下的模态正交性条件。以回传射线矩阵法为基础,进一步求解出部分埋入单桩基础的自振频率、衰减系数及模态,并通过数值算例验证部分埋入单桩基础的模态正交性条件公式推导的正确性。结果表明:若忽略数值计算结果的误差,部分埋入均质土体中的单桩基础的纵向及横向振动的模态均满足模态正交性条件。
Abstract:
The single pile foundation which partially embedded in homogeneous soil is divided into two elements, the equations of longitudinal and transverse vibration motion of each element are established respectively, and the solutions of the equations in frequency domain are solved. Combined with the dual transformation relations of internal forces and displacements in the local dual coordinate system of each element and the force balance and displacement compatibility equations of each node, the modal orthogonality conditions of partially embedded single pile foundation in the local dual coordinate system and the single local coordinate system are strictly derived. Based on the method of reverberation-ray matrix, the natural frequencies, attenuation coefficients and modes of partially embedded single pile foundations are solved. A specific example is given to verify the correctness of formula derivation, the result show that if the errors of numerical results are neglected, the longitudinal and transverse vibration modes of a single pile foundation partially embedded in homogeneous soil satisfy the condition of orthogonality.

参考文献/References:

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相似文献/References:

[1]胡昌斌,黄晓明.成层粘弹性土中桩土耦合纵向振动时域响应研究[J].地震工程与工程振动,2006,26(04):205.
 Hu Changbin,Huang Xiaoming.A quasi-analytical solution to soil-pile interaction in longitudinal vibration in layered soils considering vertical wave effect on soils[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2006,26(04):205.

备注/Memo

备注/Memo:
收稿日期:2018-12-11;改回日期:2019-4-10。
基金项目:国家自然科学基金项目(51268031,11662007);甘肃省基础研究创新群体资助项目(145RJIA332)
作者简介:付艳艳(1987-),女,博士研究生,主要从事岩土与地下工程,土-结构耦合动力学研究.E-mail:648009089@qq.com
通讯作者:余云燕(1968-),女,教授,博士,主要从事岩土与地下工程,土-结构耦合动力学研究.E-mail:yuyunyan@mail.lzjtu.cn
更新日期/Last Update: 1900-01-01