土工防爆墙倾覆稳定性分析

Overturn stability analysis of geotechnical explosion-proof walls

基于文献试验,建立了土工防爆墙倾覆稳定计算方法。假设墙体在水平均布冲击波荷载作用下绕墙趾产生刚体转动,分别得到了指数衰减荷载和瞬时冲量荷载作用下墙体转动线性微分方程的解析解和倾覆稳定系数计算公式,并采用Rung-Kutta法求解墙体转动非线性微分方程和倾覆稳定系数的数值解。对于文献中的两种土工防爆墙,解析解、数值解与试验结果比较表明:理论计算与试验结果吻合较好;可忽略冲击波加载时程和墙体转动微分方程非线性对倾覆稳定系数的影响,按瞬时冲量荷载下的解析解计算倾覆稳定系数,并取容许倾覆稳定系数为1.1。

Based on experiments in references,an approximated method for the overturn stablity of a geotechnical explosion-proof wall was developed.It was assumed that the horizontal blast loading pressure was applied uniformly to the front surface of the wall and the wall rotated around one of its bottom corners as a rigid body.Analytical solutions to the linear differential eqation and the formulas of the overturn stablity factor were obtained for two blast load models of exponentially decayed load and instantaneous impluse load,respectively.The Rung-Kutta method was used for the numerical solutions to the nonlinear differential equation and the overturn stablity factor.For two geotechnical explosion-proof walls from references,the results from the present analytical and numerical solutions were compared with the experimental results from references,it was shown that the theoretical results are in good agreement with experimental ones;the influnces of the blast loading time and the nonlinearity of the differential equation on the overturn stablity factor are negligible,and the overturn stablity factor from the analytical solution to the instantaneous impluse load is reliable with the allowable overturn stablity factor of 1.1.