[1]王春玲,张科宇,郭 莹.层状地基与深置薄板静力相互作用解析研究[J].西安建筑科技大学学报:自然版,2016,48(02):234-239.[doi:10.15986/j.1006-7930.2016.02.014]
 WANG Chunling,ZHANG Keyu,GUO Ying.Analytic study of the statics interaction between buried plate and multilayered subgrade[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2016,48(02):234-239.[doi:10.15986/j.1006-7930.2016.02.014]
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层状地基与深置薄板静力相互作用解析研究
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西安建筑科技大学学报:自然版[ISSN:1006-7930/CN:61-1295/TU]

卷:
48
期数:
2016年02期
页码:
234-239
栏目:
出版日期:
2016-04-28

文章信息/Info

Title:
Analytic study of the statics interaction between buried plate and multilayered subgrade
文章编号:
TU311;O342
作者:
王春玲1 张科宇1郭 莹2
1.西安建筑科技大学理学院,陕西 西安 710055;2.陕西科技大学机电工程学院,陕西 西安 710021
Author(s):
WANG Chunling1 ZHANG Keyu1 GUO Ying2
1.School of Science, Xi’an Univ. of Arch. & Tech., Xi’an 710055, China;2.School of Mechanical & Electrical Engineering, Shaanxi University of Science & Technology, Xi’an 710021,China
关键词:
 横观各向同性层状地基深置基础正交各向异性矩形薄板弯曲解析解
Keywords:
transversely isotropic multilayered subgrade buried load orthotropic anisotropic thin plates bending analytic solution
分类号:
1006-7930(2016)02-0234-06
DOI:
10.15986/j.1006-7930.2016.02.014
文献标志码:
A
摘要:
选用更具广泛性的层状横观各向同性弹性地基模型,分析研究深置于地基中的正交各向异性矩形薄板的弯曲解析解.基于直角坐标系下单层横观各向同性体的通解,借助傅里叶变换和矩阵传递法,获得荷载作用在土层内部的层状横观各向同性地基解;然后将正交各向异性薄板的弯曲控制方程,与基于获得的地基位移解建立的板与地基的变形协调方程相结合,得出深置于层状横观各向同性弹性地基中的正交各向异性矩形薄板的弯曲解析解,包括地基反力、板的挠度及内力的解析表达式.不仅克服了数值法的弊端,取消了对地基反力的假设,而且考虑了地基的层状性和板与地基的异性性,得出了板的内力与地基反力更切实际的分布规律.同时通过算例分析验证了本文研究方法的可行性及地基深度、埋深比对地基和基础板相互作用的影响.
Abstract:
In this paper, the bending solution of orthotropic anisotropic rectangular thin plate with four free edges on the transversely isotropic elastic multilayered subgrade is analyzed. Based on the general solution of transversely isotropic elastic single-layer subgrade under the rectangular coordinate system and by use of Fourier transformation, both the displacement and stress with undetermined coefficients can be calculated. Considering the boundary conditions and continual conditions of multilayered subgrade, the actual displacement and stress of transversely isotropic elastic multilayered subgrade under buried load can also be gained by using transferring matrix method. Combining the governing equation of bending of orthotropic anisotropic plate with deformation compatibility equation of the plate and foundation, and based on the static integral transform solution of displacement on the transversely isotropic elastic multilayered subgrade under arbitrary vertical load, the analytical bending solution of orthotropic anisotropic plate
on the transversely isotropic elastic multilayered subgrade which has buried load is obtained. Then the analytical expression of foundation reaction force, deflection of the plate and the internal force of the plate are derived. Not only does this method excel the numerical method by excluding ground reaction force as the governing factor, it takes the foundation layer and its difference with plate into consideration, which better predicts the internal force distribution pattern and foundation reaction force distribution pattern respectively. In addition, the feasibility of the research methods is verified in this paper by analysis of some examples and with this method, the effect of foundation embedded depth and embedment ratio on foundation and plate can be analyzed as well.

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备注/Memo

备注/Memo:
收稿日期:2015-06-02 修改稿日期:2016-04-07
基金项目:国家自然科学基金资助(51178387);陕西省自然科学基金资助(2014JM1033)
作者简介:王春玲(1964?),女,汉族,博士,教授.研究方向:地基与基础结构相互作用.E-mail:13149232065@163.com
更新日期/Last Update: 2016-05-23