竖向荷载作用下散体地基应力解析方法

发布时间：2018-08-20 18:38

【摘要】：竖向荷载作用下地基应力分析方法是基础工程设计与计算的重要依据,现有方法不能反映实际地基土的散体介质特性。为此,依据现有散体介质应力传递研究成果,首先假定竖向集中荷载作用下散体地基应力呈半无限曲线圆锥体形状向下传递,将竖向集中荷载作用下散体地基应力分析问题转化为锥顶作用竖向集中荷载的曲线圆锥应力分析问题,从探讨直线圆锥应力分析方法入手,获得了半无限曲线圆锥应力的求解方法,进而提出了竖向集中荷载作用下散体地基应力的解析方法;然后,将圆形竖向均布荷载作用下散体地基应力分析问题视为竖向集中荷载作用下散体地基应力的积分求解问题,建立了圆形竖向均布荷载作用下散体地基应力分析方法,该方法较充分地反映了地基土的散体介质特点,较现有Boussinesq解具有明显的优越性;最后,采用该方法、Boussinesq解以及颗粒流数值分析方法对圆形竖向均布荷载作用下散体地基应力分布进行了对比分析,表明了本文方法的合理性与可行性。
[Abstract]:The method of foundation stress analysis under vertical load is an important basis for foundation engineering design and calculation. Therefore, based on the existing research results of stress transfer in bulk media, it is assumed that the stress of granular foundation is transmitted downward in the shape of semi-infinite curve cone under the action of vertical concentrated load. In this paper, the stress analysis of granular foundation under vertical concentrated load is transformed into the curve cone stress analysis of vertical concentrated load acting on conical top, and the method of linear cone stress analysis is discussed. In this paper, the method of solving the conical stress of semi-infinite curve is obtained, and the analytical method of the stress of the foundation under vertical concentrated load is put forward. The stress analysis of granular foundation under circular vertical uniform load is regarded as the integral solution of stress under vertical concentrated load, and the stress analysis method of granular foundation under circular vertical uniform load is established. This method fully reflects the characteristics of the granular medium of the foundation soil and has obvious advantages over the existing Boussinesq solution. The Boussinesq solution and the particle flow numerical analysis method are used to compare and analyze the stress distribution of granular foundation under circular vertical uniform load. The results show that the proposed method is reasonable and feasible.
【作者单位】：湖南大学岩土工程研究所;长沙理工大学水利工程学院;
【基金】：国家自然科学基金项目(51378198,51508039) 高等学校博士学科点专项科研基金项目(20130161110017)
【分类号】：TU431

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