基于Mathews稳定性图解法的某矿山空场采矿法优化

根据某矿山的工程地质条件,结合现有采矿方法,通过Mathews稳定性图解法,得出了稳定状态和崩落状态下的采场长度、极限宽度、暴露面积,从而进行采矿方法结构优化,初步确定了采场结构参数;采用Flac 3D软件对优化后的采矿方法进行数值模拟,对优化的采场结构参数进行了验证。现场工程应用表明:采用优化后的采矿方法,采矿损失率由24.72%降低至17.30%,矿石贫化率由16.91%降低至12.25%,生产能力由400 t/d提高至420 t/d,效果显著,可在同类型矿山中推广应用。

均质土坡稳定性分析的图解法探究

在边坡稳定性分析中,极限平衡方法是以安全系数Fs作为判别标准,而现有确定安全系数的方法需要复杂的迭代计算,不能快速地确定不同工况的安全系数。基于极限平衡Spencer法与有限元的强度折减法,建立一种快速的初步确定边坡稳定性安全系数的方法,该方法可以弥补计算复杂和判断失准的缺点。首先,在考虑天然条件、地下水条件和地震烈度等主要因素情况下,利用计算机中的Spencer(1967)边坡稳定性分析程序中的切片编码方法,得到非线性破坏包络线稳定性分析图,对非线性边坡破坏包络线进行了详细分析。其次,通过试验数据,分析地震烈度、孔隙水压力系数等对安全系数的影响。结果表明,利用非线性破坏包络线建立的稳定分析图能快速准确地确立边坡的安全系数。

一种基于波数积分方法的线源声场计算方法

提出了在Pekeris波导条件下,一种基于波数积分方法的线源声场中的稳定数值计算方法。通过对深度格林函数中上行波与下行波的归一化,得到稳定的系数矩阵,从而求得格林函数的解析解。对深度格林函数进行模式展开,验证了该方法得到的深度格林函数解析解的准确性。结合仿真实例,将该方法得到的波数积分模型与传统简正波模型KRAKENC的结果进行比较,结果显示,当某号简正波的波数与海底波数接近时,KRAKENC计算不出该号简正波,会导致KARKENC的计算结果不准确,而波数积分方法可以很好地解决该问题。因此,提出的方法可以作为Pekeris波导中线源激发声场的标准模型。

采场锚索预加固技术的研究

传统锚索设计方法只考虑单根锚索的悬吊作用,而忽略了群锚效应,加大了锚索加固的盲目性。稳定性图解法通过岩体工程地质调查来掌握岩体的基本特性,首先对采场进行稳定性分析,在此基础上确定其支护参数,并针对具体锚索型号验算锚固力。采场帮壁锚索加固试验证明,稳定性图解设计法是切合实际的,确定的锚索参数及受力分析是比较合理的。

破碎复杂矿体回采工艺优化研究

安庆铜矿马头山矿体较破碎,采用大直径深孔崩矿法回采,在前期生产过程中,部分采场出现了大面积偏帮、顶板垮塌等现象,以及工程巷道顶板冒落、变形等地压活动,严重影响到了矿山的安全生产。针对现有15 m宽的采场,通过对采场结构和爆破参数的优化,在后续的回采过程中采场顶板和上盘围岩均未出现较大的垮塌,采场两侧保持完好、规整,有效地降低了矿石损失率、贫化率和大块率,解决了马头山复杂破碎矿体开采技术难题,为安庆铜矿马头山矿体的稳定生产提供了技术保障。

采场锚索预加固设计方法

介绍了用于井下采场顶板及两帮壁的锚索预加固的稳定性解法，并以实例说明。

Stability analysis for nonlinear multi-variable delay perturbation problems

This paper discusses the stability of theoretical solutions for nonlinear multi-variable delay perturbation problems (MVDPP) of the form x′(t)=f(x(t),x(t-τ 1(t)),...,x(t-τ m(t)),y(t),y(t-τ 1(t)),...,y(t-τ m(t))), and εy′(t)=g(x(t),x(t-τ 1(t)),...,x(t-τ m(t)),y(t),y(t-τ 1(t)),...,y(t-τ m(t))), where 0<ε1. A sufficient condition of stability for the systems is obtained. Additionally we prove the numerical solutions of the implicit Euler method are stable under this condition.

One-step post-synthesis treatment for preparing hydrothermally stable hierarchically porous ZSM-5

Hierarchically porous ZSM‐5 (SiO2/Al2O3 ≈ 120) containing phosphorus was prepared by a one‐step post‐synthesis treatment involving controlled desilication and phosphorous modification. The hierarchically porous ZSM‐5 featured high thermal and hydrothermal stability. The obtained ZSM‐5zeolites were systematically characterized by X‐ray diffraction, scanning electron microscopy,transmission electron microscopy, N2 adsorption‐desorption, NH3 temperature‐programmed desorption,and 27Al and 31P magic‐angle spinning nuclear magnetic resonance spectroscopy. Theprepared ZSM‐5 displayed enhanced activity and prolonged lifetime toward hydrocarbon cracking.The high activity was attributed to improved coke tolerance owing to the presence of the highlystable mesoporous network of ZSM‐5 and acid sites introduced upon phosphorus modification.Additionally a mechanism of the stabilization of the zeolites by phosphorus was proposed and discussed.

Finite-Time Stability of Nonautonomous Delayed Systems

The finite-time stability to linear discontinuous time-varying delayed system was investigated. By applying the method of upper and lower solutions, some sufficient conditions of this kind of stability were obtained. Furthermore, it also developed a monotone iterative technique for obtaining solutions which are obtained as limits of monotone sequences

H-stability of the Runge-Kutta methods with general variable stepsize for system of pantograph equations with two delay terms

This paper deals with H-stability of the Runge-Kutta methods with a general variable stepsize for the system of pantograph equations with two delay terms. It is shown that the Runge-Kutta methods with a regular matrix A are H-stable if and only if the modulus of the stability function at infinity is less than 1.

A simple algorithm for testing the stability of periodic solutions of some nonlinear oscillators with large time delay

Periodic solutions occur commonly in linear or nonlinear dynamical systems. In some cases, the stability of a periodic solution holds if the rightmost characteristic root has negative real part. Based on the Lambert W function, this paper presents a simple algorithm for locating the rightmost characteristic root of periodic solutions of some nonlinear oscillators with large time delay. As application, the proposed algorithm is used to study the primary resonance and 1/3 subharmonic resonance of the Duffing oscillator under harmonic excitation and delayed feedback, as well as the control problem of the van der Pol oscillator under harmonic excitation by using delayed feedback, with a number of case studies. The main advantage of this algorithm is that though very simple in implementation, it works effectively with high accuracy even if the delay is large.

An element decomposition method with variance strain stabilization

An element decomposition method with variance strain stabilization(EDM-VSS) is proposed. In the present EDM-VSS, the quadrilateral element is first divided into four sub-triangular cells, and the local strains in sub-triangular cells are obtained using linear interpolation function. For each quadrilateral element, the strain of the whole quadrilateral is the weighted average value of the local strains, which means only one integration point is adopted to construct the stiffness matrix. The stabilization item of the stiffness matrix is constructed by variance of the local strains, which can eliminate the instability of the one-point integration formulation and largely increase the accuracy of the element. Compared with conventional full integration quadrilateral element, the EDM-VSS achieves more accurate results and expends much lower computational cost. More importantly, as no mapping or coordinate transformation is involved in the present EDM-VSS, the restriction on the conventional quadrilateral elements can be removed and problem domain can be discretized in more flexible ways. To verify the accuracy and stability of the present formulation, a number of numerical examples are studied to demonstrate the efficiency of the present EDM-VSS.

Global dynamics of a nonlocal population model with age structure in a bounded domain:A non-monotone case

We study the global dynamics of a nonlocal population model with age structure in a bounded domain. We mainly concern with the case where the birth rate decreases as the mature population size become large. The analysis is rather subtle and it is inadequate to apply the powerful theory of monotone dynamical systems. By using the method of super-sub solutions, combined with the careful analysis of the kernel function in the nonlocal term, we prove nonexistence, existence and uniqueness of positive steady states of the model.Moreover, due to the mature individuals do not diffuse, the solution semiflow to the model is not compact. To overcome the difficulty of non-compactness in describing the global asymptotic stability of the unique positive steady state, we first establish an appropriate comparison principle. With the help of the comparison principle,we can employ the theory of dissipative systems to obtain the global asymptotic stability of the unique positive steady state. The main results are illustrated with the nonlocal Nicholson's blowflies equation and the nonlocal Mackey-Glass equation.

Existence and exponential stability of almost periodic positive solution for host-macroparasite difference model

This paper is concerned with a host-macroparasite difference model. By applying the con- traction mapping fixed point theorem, we prove the existence of unique almost periodic positive solution. Moreover, we investigate the exponential stability of Mmost periodic solution by means of Lyapunov functional.