A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
The invention belongs to the field of slope safety evaluation, and particularly relates to a slope safety coefficient non-iterative solving method. The method comprises the steps of: dividing a sliding soil body of a slope into n vertical blocks through a vertical line, assuming the acting force direction between the adjacent blocks, recording acting force Ti-1 as the acting force of a block Bi-1to Bi, and constructing the transfer equation Ti=f(Ti-1) of the acting force between the adjacent blocks through a static balance condition; establishing a polynomial equation about the safety factorFs of the sliding surface according to the boundary conditions T0=0 and Tn=0 of the sliding soil body; and solving the root of the polynomial equation, obtaining the root, respectively substituting the Fsi into the block body moment balance condition one by one, removing the root which does not meet the block body moment balance, and selecting the root with the maximum value as the safety coefficient of the feasible sliding surface S. The method can reasonably and effectively determine the slope safety coefficient.
本发明属于边坡安全评价领域，尤其涉及一种边坡安全系数不迭代求解方法，包括步骤：将边坡的滑动土体通过垂直线划分成n个的垂直块体假定相邻块体间的作用力方向，记作用力T为块体B对B的作用力，通过静力平衡条件构建相邻块体间作用力的传递方程T＝f(T)；根据滑动土体的边界条件T＝0、T＝0，建立关于滑动面的安全系数Fs的多项式方程；求解上述多项式方程的根，得根分别将Fs逐一代入块体力矩平衡条件，剔除不满足块体力矩平衡的根，从中选择最大值的根作为可行滑动面S的安全系数，本方法能够合理、有效地确定边坡安全系数。
The invention belongs to the field of slope safety evaluation, and particularly relates to a slope safety coefficient non-iterative solving method. The method comprises the steps of: dividing a sliding soil body of a slope into n vertical blocks through a vertical line, assuming the acting force direction between the adjacent blocks, recording acting force Ti-1 as the acting force of a block Bi-1to Bi, and constructing the transfer equation Ti=f(Ti-1) of the acting force between the adjacent blocks through a static balance condition; establishing a polynomial equation about the safety factorFs of the sliding surface according to the boundary conditions T0=0 and Tn=0 of the sliding soil body; and solving the root of the polynomial equation, obtaining the root, respectively substituting the Fsi into the block body moment balance condition one by one, removing the root which does not meet the block body moment balance, and selecting the root with the maximum value as the safety coefficient of the feasible sliding surface S. The method can reasonably and effectively determine the slope safety coefficient.
本发明属于边坡安全评价领域，尤其涉及一种边坡安全系数不迭代求解方法，包括步骤：将边坡的滑动土体通过垂直线划分成n个的垂直块体假定相邻块体间的作用力方向，记作用力T为块体B对B的作用力，通过静力平衡条件构建相邻块体间作用力的传递方程T＝f(T)；根据滑动土体的边界条件T＝0、T＝0，建立关于滑动面的安全系数Fs的多项式方程；求解上述多项式方程的根，得根分别将Fs逐一代入块体力矩平衡条件，剔除不满足块体力矩平衡的根，从中选择最大值的根作为可行滑动面S的安全系数，本方法能够合理、有效地确定边坡安全系数。
Slope safety coefficient non-iterative solving method
一种边坡安全系数不迭代求解方法
2020-07-14
Patent
Electronic Resource
Chinese
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