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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。
The stress analysis method of foundation under vertical load is an important basis for the design and calculation of foundation engineering. The existing methods can not reflect the properties of bulk medium in actual foundation soil. For this reason, based on the existing research results of stress transfer in bulk media, we first assume that the stress of the scattered ground under the vertical concentrated load is transmitted in the shape of a semi-infinite curve and the shape of the cone transfers downward. The stress analysis problem of the loose ground under vertical concentrated load This paper deals with the problem of the cone stress analysis of the vertical concentrated load transformed into the conical top. Starting from the discussion of the method of straight-line cone stress analysis, the method of solving the semi-infinite curve of the cone stress is obtained, and then the stress of the discrete foundation under the vertical concentrated load Then, the problem of stress analysis of the loose ground under circular vertical uniform load is considered as the integral solution of the stress of the loose ground under the vertical concentrated load. This method can reflect the characteristics of bulk media more adequately than traditional Boussinesq solution. Finally, using this method, Boussinesq solution and particle flow numerical analysis, The stress distribution of granular soil under uniform load is compared and analyzed, which shows the rationality and feasibility of this method.