Stability analysis of shallow tunnels subjected to seepage with strength reduction theory

Based on strength reduction theory, the stability numbers of shallow tunnels were investigated within the framework of upper and lower bound theorems of limit analysis. Stability solutions taking into account of water seepage were presented and compared with those without considering seepage. The comparisons indicate that the maximum difference does not exceed 3.7%, which proves the present method credible. The results show that stability numbers of shallow tunnels considering seepage are much less than those without considering seepage, and that the difference of stability numbers between considering seepage and without considering seepage increase with increasing the depth ratio. The stability numbers decrease with increasing permeability coefficient and groundwater depth. Seepage has significant effects on the stability numbers of shallow tunnels.     

Effective prediction of DEA model by neural network

In this paper,a fast neural network model for the forecasting of effective points by DEA model is proposed,which is based on the SPDS training algorithm.The SPDS training algorithm overcomes the drawbacks of slow convergent speed and partially minimum result for BP algorithm.Its training speed is much faster and its forecasting precision is much better than those of BP algorithm.By numeric examples,it is showed that adopting the neural network model in the forecasting of effective points by DEA model is valid.     

Comprehensive assessment on dynamic roof instability under fractured rock mass conditions in the excavation disturbed zone

The damage process of fractured rock mass showed that the fracture in rocks induced roof collapse in Yangchangwan Coal Mine,China.The rock mass was particularly weak and fractured.There occurred 6 large-scale dynamical roof falls in the excavation disturbed zone (EDZ) with the collapsing volume of 216 m3.First,the field detailed geological environment,regional seismic dy-namics,and dynamic instability of roadways were generally investigated.Second,the field multiple-index monitoring measurements for detecting the deep delamination of the roof,convergence deformation,bolt-cable load,acoustic emission (AE) characteristic pa-rameters,total AE events,AE energy-releasing rate,rock mass fracture,and damage were arranged.Finally,according to the time-space-strength relations,a quantitative assessment of the influence of rock-mass damage on the dynamic roof instability was accomplished.     

不同分布φ^~混合序列的弱大数定理

通过利用矿混合序列的矩不等式推导出φ^~混合阵列行和的一个弱大数定理,并由φ^~混合阵列行和弱大数定理得出不同分布矿混合序列的一个弱大数定理。     

不对称级联型多电平变频器的分析及改进

不对称级联型多电平变频器拓扑结构各单元直流母线的电压不尽相同,采用混合控制策略,可以用较少的功率器件输出更多的电平数,达到更好的输出性能．引入最大延伸定理,为不对称级联型多电平变频器各单元选取电压比值提供理论依据,同时给出了一种改进型不对称级联型多电平变频器拓扑结构．     

偶数阶中立型差分方程最终正解的存在性

研究一类具连续变量偶数阶中立型时滞差分方程,利用Lebesgue控制收敛定理给出这类方程存在最终有界正解的一个充分必要条件,得到相应新的比较定理.     

时间模上二阶三-点边值问题的三个正解

运用Legget—Williams锥上的不动点定理,讨论时间模上的二阶非线性方程三一点边值问题至少有三个正解的存在性．     

带积分边界条件的二阶微分方程三个正解的存在性

运用不动点定理,研究了一类带积分边界条件的二阶微分方程三个正解的存在性．推广了以前的结果．     

求解逆Goursat问题的变分迭代法

应用变分迭代法来求解一类逆Goursat问题,可以得到快速收敛于精确值的序列,计算结果说明了本方法的有效性.     

一种改进的含参数精确罚函数及其修正拟牛顿算法

对求解约束非线性规划问题,提出一种新的含参数精确罚函数的方法,通过对目标参数和罚参数的有效控制,达到罚函数的可微和精确双重效果,并得到相关的精确罚定理;给出解此类罚函数问题的一种新的修正拟Newton算法,并讨论了算法的有效性和超线性收敛性。