Based on the generalized variational principle of the modificatory variables and substituent shearing strain field interpolation of the bending theory of the mindilin plate , this paper brings up the nine - node mixed plate bending element and adopts the sap2000 ? a large - scale finite element analysis programs . by the examples , we find the precision of the method is satisfying 在对转换层厚板进行局部有限元分析时,本文提出了基于mindlin中厚板弯曲理论的修正的二类变量广义变分原理和替代剪应变场插值方法的九节点厚薄板通用的板弯曲单元,并采用了sap2000有限元程序。
2 . based on the mindlin ’ s solution of displacement , the distributing expressions of the shear stress and the axial force in anchorage are derived , and the mechanical characteristic of anchorage is analyzed , which indicates the mechanics of the support more deeply . the method of confirming the length of anchorage is proposed 2 、根据mindlin ’ s问题的位移解,推导出了锚杆的界面剪应力和轴力分布规律,并分析了锚杆的受力特性,进一步了解锚杆柔性支护的作用机理,在此基础上提出确定锚固长度的计算公式。
This paper focuses on the problem of semi - infinite elastic body filled with the material which behaves differently in tension and compression . the contents include : ( 1 ) the solution of elasticity theory for the material incapable in tension is established by introducing heaviside function ; ( 2 ) the solution of elasticity theory with different modulus in tension and compression is established based on the solution of elasticity theory for the material incapable in tension and mindlin ' s solution ; ( 3 ) the solution of elasticity theory with different modulus in tension and compression is employed to analyze the stress of pile foundation ; ( 4 ) the solution of elasticity theory with different modulus in tension and compression is employed to analyze the settlement of pile foundation 本文考虑材料的拉压性能不同的特点,对半无限空间内部作用竖向集中力问题进行了新的研究,做了如下工作: ( 1 )引入heaviside函数,建立了不能承受拉应力材料的弹性理论解; ( 2 )基于不能承受拉应力材料的弹性理论解和mindlin解,建立了拉压模量不同材料的弹性理论解; ( 3 )将拉压模量不同材料的弹性理论解应用于桩基应力分析; ( 4 )将拉压模量不同材料的弹性理论解应用于桩基沉降分析。
Through a lot of test pile material , this essay concludes the vertical bearing capacity calculation formula of man - made pile with bulb shaped base by strength theory and relative deformation as control criterion . the method of defining pedestal pile foundation deformation modulus is especially discussed in this article , and it takes the mindlin solution as the starting point using mathematics method to get the poisson ' s ratio ( u ) which is the factor influencing foundation soil deformation modulus , and a deformation modulus calculating equation is finally determined 本文通过大量试桩资料和有限元计算分析,给出了以强度理论和相对变形为控制标准的人工挖孔扩底桩竖向承载力计算公式。其中特别论述了扩底桩地基变形模量的确定方法,并从mindlin解出发利用数学方法得出了影响地基土变形模量大小的因素?泊松比,初步确定了比较完善的变形模量计算公式。
Base on the theory of bearing capacity of single pile , we calculated the bearing capacity of single precast pile in zhoushan . the target reliability and partial factors were provided at the same time . according to the theory of settlement of single pile , mindlin solution and layerwise summation method , we also calculated the settlement and provided a settlement prediction method 结合舟山实际试桩资料,本文对单桩承载力进行了估算,在此基础上进行了可靠度指标的计算和荷载分项系数、抗力分项系数的计算;根据沉降理论对单桩沉降应用mindlin解和分层总和法进行计算并与资料进行了对比。