半无限体内环形线性垂直荷载下的竖向位移解  

Vertical Displacement Solutions of Circular Linear Vertical Load in Semi-infinite Body

作　　者：刘秀军 LIU Xiu-jun(Shenzhen Geotechnical Investigation&Surveying Institute(Group)Co.Ltd.,Shenzhen 518028;State Key Laboratory for Geomechanics and Deep Underground Engineering,China University of Mining and Technology,Xuzhou 221116)

机构地区：[1]深圳市勘察测绘院(集团)有限公司,深圳518028 [2]中国矿业大学深部岩土力学与地下工程国家重点实验室,徐州221116

出　　处：《广州建筑》2022年第6期21-24,共4页GUANGZHOU ARCHITECTURE

摘　　要：基于Mindlin弹性理论位移解,推导出半无限体内部作用一环形线性垂直荷载情况下的竖向位移解,并分别分析了荷载环中心轴线上(r=0处)、荷载环边界(r=a处)、半无限体表面(z=0处)以及荷载作用深度处(z=c处)等四种特殊情况下的竖向位移解,最后较为深入地研究了荷载作用深度处的竖向位移随着泊松比μ、水平距离r以及荷载作用深度c的变化规律。本文对了解此类问题有一定指导和借鉴意义。Based on the displacement solution of Mindlin's elastic theory,the vertical displacement solution under the condition of a circular linear vertical load acting inside the semi-infinite body is derived.And the vertical displacement solutions are also analysed for four special cases:on the central axis of the load ring(at r=0),at the boundary of the load ring(at r=a),at the semi-infinite surface(at z=0)and at the depth of the load action(at z=c).Finally,the variation law of the vertical displacement at the depth of load action with Poisson's ratioμ,the horizontal distance r and the depth of load action c is studied in more depth.This paper is instructive and useful in understanding such issues.

关 键 词：MINDLIN位移解 半无限体 环形线性垂直荷载 竖向位移解 

分 类 号：TU470.3[建筑科学—结构工程]