Mechanical analysis of interaction between plant roots and rock and soil mass in slope vegetation

With the help of plant roots, slope vegetation makes the slope soil mass become a composite material of soil and roots, and thus enhances shear strength of the slope soil mass and stability of the slope. However, the related studies at present are still qualitative. In this paper, quantitative analysis of the interaction between roots and soil mass are made. By the analysis of the interaction between herbaceous plant roots including lateral roots of woody plants and rock and soil mass, a mechanical model of the interaction between frictional roots and soil is established, and its correctness is shown. A mechanical model of the interaction between anchorage root, namely, woody plant taproot, and soil is also established. The establishment of the models provides a useful means in quantitative analysis of the interaction between plant roots and soil, and has practical values.     

Dynamic analysis of redesigned systems using algebraic method

This study investigates the redesign of a structural system with the matrix modification. The inertia congruence transformation is adopted to find the latent roots of a dynamic stiffness matrix, and a method for determining its eigenvalue is proposed. The characteristics of the latent vector for a known latent root and a method for computing it are studied. The mode shapes of the redesigned structure must be differently handled based on whether the structure exhibits persistent or non-persistent natural frequencies.     

葛根提取物高效液相色谱分析方法的优化

针对葛根提取物的复杂体系,分别从色谱模式、流动相、添加剂以及梯度洗脱条件几个方面对其高效液相色谱分析 方法进行了优化。其中梯度洗脱条件的优化是根据各组分在5次线性梯度下的保留时间并借助于CSASS软件快速准确地计 算出各组分的液相色谱保留参数a,c值以及峰形参数σ和τ,在此基础上使用CSASS软件对葛根提取物的色谱分离情况进行 高精度仿真预测,从而优化了梯度洗脱条件。考察了优化条件下的分析方法的精密度和重现性,结果表明该方法稳定、可 靠、重现性好。     

植被护坡中植物根系的阻裂增强机理研究

本文从复合材料的角度对植物根系的加固机理进行了分析,将含根系的岩土体看成一特殊的复合材料,其中岩土体为基体相材料,根系为增强相材料,根系犹如纤维,将对根土复合体起到阻裂增强作用.并运用能量原理对根系的阻裂增强作用进行了分析研究,得出根土复合体中某点的抗剪强度增量的计算公式及该点处根系的抗拔力和最大拔出长度的计算公式,得出某点抗剪强度增量主要与该点处根的面积比、面密度、长径比、抗拉强度、根士间的黏聚力及摩擦系数有关,及如果根系深入某点以下锚同段长度大于该点处的最大拔出长度,根系将被拉断的结论.     

区间上反N型函数的迭代根

讨论了区间I＝[0,1]上的所有反N型（即减－增－减型）函数的迭代根问题。     

On the gauss trigonometric sum

In this paper it is proved that the arguments of the Gauss sum associated with sixth powers do not constitute an everywhere dense set. A lower bound to the corresponding trigonometric sums is also obtained. Translated fromMatematicheskie Zametki, Vol. 68, No. 2, pp. 173–178, August, 2000.     

Summation theorems for multidimensional basic hypergeometric series by determinant evaluations

We derive summation formulas for a specific kind of multidimensional basic hypergeometric series associated to root systems of classical type. We proceed by combining the classical (one-dimensional) summation formulas with certain determinant evaluations. Our theorems include A_r extensions of Ramanujan's bilateral ₁ψ₁ sum, C_r extensions of Bailey's very-well-poised ₆ψ₆ summation, and a C_r extension of Jackson's very-well-poised ₈φ₇ summation formula. We also derive multidimensional extensions, associated to the classical root systems of type A_r, B_r, C_r, and D_r, respectively, of Chu's bilateral transformation formula for basic hypergeometric series of Gasper–Karlsson–Minton type. Limiting cases of our various series identities include multidimensional generalizations of many of the most important summation theorems of the classical theory of basic hypergeometric series.     

Successive Optimization Method via Parametric Monotone Composition Formulation*

In this paper a successive optimization method for solving inequality constrained optimization problems is introduced via a parametric monotone composition reformulation. The global optimal value of the original constrained optimization problem is shown to be the least root of the optimal value function of an auxiliary parametric optimization problem, thus can be found via a bisection method. The parametric optimization subproblem is formulated in such a way that it is a one-parameter problem and its value function is a monotone composition function with respect to the original objective function and the constraints. Various forms can be taken in the parametric optimization problem in accordance with a special structure of the original optimization problem, and in some cases, the parametric optimization problems are convex composite ones. Finally, the parametric monotone composite reformulation is applied to study local optimality.     

利用重心法求光斑信号位置的误差分析

在许多光电检测系统（如ＬＡＭＯＳＴ光纤定位标定系统）中,要求准确得到光斑信号的位置。光斑信号的位置可以由重心法求出。重心法在使用中,不可避免地要受到许多因素的干扰,给测量结果带来误差,如杂散光、气流、温度、暗电流、ＡＤ 采样的位数等等。通过实验对重心法运用于这类系统将产生的误差作了较为详尽的分析。实验表明：重心法具有精度高,计算简单,对硬件要求低等优点,完全适用于ＬＡＭＯＳＴ光纤定位标定系统。     

带有GARCH误差的单位根过程的估计

单位根过程在时间序列理论中占有重要地位.单位根过程能较好地刻画经济数据中经常呈现的非平稳状态,因此其在经济理论与实证中都有广泛的应用.在更新项只有二阶矩存在的条件下,讨论了带有GARCH(p,q)误差项与趋势项的单位根过程的最小二乘估计.并推导了基于最小二乘估计的Dickey-Fuller检验统计量的渐近分布.该结果在单位根检验中具有重要作用.