液限、塑限联合试验的计算行列式法

本文给出计算液限、塑限的行列式,经用试验数据计算证明方法正确。     

Dynamic modeling and control of a padder roller system

This is the first time in the literature dealing with the dynamic modeling and control of a rotating padder roller system. It is intended to design a control system with effective scheme and robustness to stabilize all vibration modes of a rotating padder roller system by using one set of sensor and actuator. The controller design depends on the specific pole-zero patterns. In practice, the pole-zero patterns remain the same, no matter how the physical system parameters are different. By properly placing the actuator and sensor, a realizable controller and sensor is designed to stabilize all the vibration modes and make the closed loop system absolutely stable. This will suppress the vibration without suffering from spillover and can eliminate an infinite number of vibration modes. The performance of this controller has been successfully implemented by computer simulation.     

状态空间理论在水利工程中的应用

根据现代控制论中的状态空间理论、力学中的混合变分原理与哈密尔顿原理所建立的状态方程,结合水利工程中的典型结构,导出状态方程,并给出若干应用。文中介绍的一些数值结果,与其它方法解比较,精确较满意。     

非算子型泛函微分方程概周期解的稳定性

利用指数型二分性理论及相关分析技巧,研究了一类具有有限时滞的非算子型的中立型泛函微分方程的概周期解问题,得到了方程存在唯一稳定的概周期解的新结果．     

Richards林木生长模型及其适用性

该文简述了Ｒｉｃｈａｒｄｓ生长方程的可塑性，以毛白杨、华北落叶松、刺槐与斑克松的生长资料，讨论了描述林木生长过程的适用性。     

Simulation of corn yields in the Upper Great Lakes Region of the US using a modeling framework

We examined the utility of a site-based simulation model for corn (MAIZE) applied to the Upper Great Lakes Region (UGLR) of the United States for 1992–1996. To evaluate model outputs, we used a modeling applications system integrative framework (MASIF) to simulate corn yields in the UGLR. We divided the region into two ecological zones (upper UGLR-1 and lower UGLR-2) and compared MAIZE and USDA National Agriculture Statistics Service (NASS) yield estimates in each zone. There was greater agreement between MAIZE and NASS yields at lower yield values. As NASS yields increased, MAIZE yields also increased, but to a greater extent than did NASS yields. We conducted a mean spatial analysis of maize yield from 1992 to 1996. We also conducted a spatial analysis of 1994, 1995 and 1996. There are both spatial and temporal differences when yields are mapped.     

用线性递推关系求行列式的值

给出了用组合数学中的递推关系H_n=■α_iH_(n-i)(其中α_1,α_2,…,α_r为常数)计算具有二阶及二阶以上常系数递推关系的n阶行列式的计算方法.通过实例给出此方法的解题步骤,并验证了其可行性.     

基于最小二乘法的落叶松木粉粒径数学建模与分析

【目的】建立落叶松木粉粒径与长宽比的数学模型,通过分析数学模型和其二阶导数,揭示木粉长宽比随粒径减小的变化趋势及变化的根本原因,获得最大长宽比对应的粒径,为建立长宽比与力学性能之间的定量关系提供参考。【方法】利用光学显微镜拍摄获得木粉的显微图像,测算获得目标木粉成熟管胞的平均长度、平均宽度以及木粉粒径的大小。通过数字图像处理技术提取单木粉颗粒的矩形度、长宽比：将原始木粉显微图像由 RGB颜色空间转到Lab颜色空间,提取其b分量;对b分量图像用3×3模板进行中值滤波;用K-means算法将去噪后图像聚类为2类,得木粉的二值图像;对二值图像用5×5的结构元素进行先开启后闭合的数学形态学运算;用八连通区域法标记图像中的单木粉颗粒;对标记后图像用目标区域像素点个数统计法计算获得单木粉颗粒的几何面积,用主轴法获得单木粉颗粒的最小外接矩形的长、宽、面积;计算获得单木粉颗粒的长宽比、矩形度数据。采用最小二乘法对木粉粒径与长宽比进行数据拟合,通过分析评判多项式、高斯和傅里叶3种拟合函数后选用高斯方程表达得木粉粒径与木粉长宽比的数学模型,再根据其拟合曲线方程计算得其二阶导数,结合模型的二阶导数和测算得的木粉管胞数据对高斯模型进行分析与讨论。【结果】矩形度不随木粉粒径的减小而变化,均值在0.6～0.8之间。长宽比随粒径减小出现先增大后减小的趋势：木粉粒径在1100～576μm 时,长宽比数值从接近于1开始逐渐增大;木粉粒径为576μm时(与本文目标木粉成熟管胞的平均长度563.82μm接近),长宽比达到最大数值4.6;木粉粒径在576～30μm时,长宽比逐渐减小;而粒径小于50μm 时(与目标木粉成熟管胞的平均宽度46.498μm接近),长宽比数值再次趋近于1。【结论】长宽比的变化与管胞破裂密切相关：木粉粒径大于管胞长度时,木粉主要通过纵向断裂使粒径减小;粒径与管胞长度接近时,长宽比较大;粒径小于等于管胞宽度范围内,木粉主要是横向断裂,而长宽比基本不再发生变化且趋近于1。长宽比和冲击强度随粒径减小的变化趋势是一致的,长宽比是影响材料力学性能本质因素之一。