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基于优化理论的刚体极限平衡模型 被引量:18

Rigid Limit Equilibrium Model Based on Optimization Theory
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摘要 对于具有多个滑移面的滑动岩体,在采用“等K法”进行刚体极限平衡分析时,一般认为通过相邻两个滑移面的交线存在一个错动面。常规的做法是假设错动面为垂直面,而这种做法缺乏理论依据。笔者根据滑体稳定原理,以错动面倾角作为设计变量,取稳定安全系数为目标函数,利用优化方法,找出最小安全系数K及其对应的错动面倾角。研究结果表明,在多数情况下尤其是相邻滑移面上参数的数量级接近时,取错动面为垂直面后所求得的安全系数为最小。从而验证了常规做法有一定的合理性,使其更具有明确的数学和物理意义。并用该方法分析了某重点工程#3厂房坝段基岩深层抗滑稳定性。 In the stability analysis of slide rock mass with multi slide planes by “Equivalence K method”, an assumption that, through the line of intersection of two neighbor slide planes, there exists a vertical faulted bedding plane, is generally adopted. However, this assumption lacks of theoretical basis. In the paper, according to the principle of rock slide stability, using optimizing method, regarding the dips of faulted bedding planes as design variables and the stability safety factors as objective functions, the minimum safety factor K and its corresponding dip of the faulted bedding plane can be determined. The study results show that, in the most cases, specially when the quantity grade of parameter values on the neighbor slide planes are close to each other, the overall safety factor would be minimum as setting a faulted bedding plane nearly vertical , therefore, it is testified that the conventional usage is reasonable, and it is of actual significance of mathematics and geology. The stability of the dam reach No.3 in some major project was analysed by this method.
出处 《长江科学院院报》 EI CSCD 北大核心 1999年第3期17-20,共4页 Journal of Changjiang River Scientific Research Institute
关键词 刚体极限平衡 岩体抗滑稳定 优化方法 rigid limit equilibrium method rock mass stability against sliding optimization method stability safety factor equivalence K method
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参考文献6

  • 1长江流域规划办公室.岩石坝基工程地质[M].北京:水利水电出版社,1987..
  • 2任青文.拱坝坝肩稳定分析中非线性方程组的线性化解法[J].河海大学学报(自然科学版),1991,19(3):120-124. 被引量:7
  • 3任青文,河海大学学报,1991年,19卷,3期
  • 4长江流域规划办公室,岩石坝基工程地质,1987年
  • 5潘家铮,重力坝设计,1987年
  • 6潘家铮,建筑物的抗滑稳定和滑坡分析,1980年

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