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。     

基于分形系统的烟草花序可视化仿真研究

为实现聚散或团状植物花序三维建模和可视化仿真,以烟草为例,提出了一种基于分形系统的植物花序可视化仿真方法。通过分析烟草花序的形态结构特征,构建初始分形单元,以仿射变换为基本框架,按照一定的迭代生成算法,分别建立了烟草花序结构与几何模型,并对烟草花序生长进行了模拟。建模过程中,烟草单花的器官几何模型分别用球B样条曲线和参数曲面表示,通过调节对应控制点与参数,重构了不同开花状态下的三维几何模型。实验结果表明,该方法得到的烟草花序模型能充分地表现烟草花序的形态特征,单花器官有较高的真实感,为其他聚散或团状花序的三维可视化提供了技术手段。     

基于粗糙集和遗传神经网络的城市日用水量预测模型

为克服日用水量主要影响因素一般采用主观判断确定的不足,利用改进粗糙集算法对影响因素进行属性约简,确定日用水量的主要影响因素。以日用水量的主要影响因素和相关日用水量为BP网络的输入,采用遗传算法优化BP网络的权阈值,建立了基于粗糙集算法和优化BP网络的日用水量预测模型。实例分析表明,与基于传统BP网络和基于遗传算法优化B...     

基于Pro/E的装配体三维设计

介绍了使用Pro/E计算机软件作为计算机设计绘图工具，建立3D实体模型，然后根据零件间的位置关系将所涉及的零件逐个地进行装配；并简单阐述了其工程图的制作及齿轮三维造型的方法。     

Evaluation of the RZWQM-CERES-Maize hybrid model for maize production

The root zone water quality model (RZWQM) was developed primarily for water quality research with a generic plant growth module primarily serving as a sink for plant nitrogen and water uptake. In this study, we coupled the CERES-Maize Version 3.5 crop growth model with RZWQM to provide RZWQM users with the option for selecting a more comprehensive plant growth model. In the hybrid model, RZWQM supplied CERES with daily soil water and nitrogen contents, soil temperature, and potential evapotranspiration, in addition to daily weather data. CERES-Maize supplied RZWQM with daily water and nitrogen uptake, and other plant growth variables (e.g., root distribution and leaf area index). The RZWQM-CERES hybrid model was evaluated with two well-documented experimental datasets distributed with DSSAT (Decision Support System for Agrotechnology Transfer) Version 3.5, which had various nitrogen and irrigation treatments. Simulation results were compared to the original DSSAT-CERES-Maize model. Both models used the same plant cultivar coefficients and the same soil parameters as distributed with DSSAT Version 3.5. The hybrid model provided similar maize prediction in terms of yield, biomass and leaf area index, as the DSSAT-CERES model when the same soil and crop parameters were used. No overall differences were found between the two models based on the paired t test, suggesting successful coupling of the two models. The hybrid model offers RZWQM users access to a rigorous new plant growth model and provides CERES-Maize users with a tool to address soil and water quality issues under different cropping systems.     

Inverse Modeling to Quantify Irrigation System Characteristics and Operational Management

Remotely sensed (RS) data is a major source to obtain spatialdata required for hydrological models. The challenge for thefuture is to obtain besides the more direct observable data(landcover, leaf area index, digital elevation model andevapotranspiration), non-visible data such as soilcharacteristics, groundwater depth and irrigation practices.In this study we have explore the option of using inversemodeling to obtain these non-RS-visible data. For a commandarea in Haryana, India, we applied for the 2000–2001 rabiseason a RS-GIS-combined inverse modeling approach to derivenon-RS-visible data required in the regional application ofhydrological models. A Genetic Algorithm loaded stochasticphysically based soil-water-atmosphere-plant model (SWAP) wasdeveloped for the inverse problem and used in the study. Theresults showed good agreement with the inventoried data suchas soil hydraulic properties, sowing dates, groundwaterdepths, irrigation practices and water quality. The deriveddata could be used to predict the state of the system at anytime in the cropping season, which can be used to evaluateoperational management strategies.     

多组离合器参与的换挡过程混合建模与仿真

在分析多组离合器参与的自动变速器换挡过程特点的基础上，指出该换挡过程是由连续系统与离散系统组成的混合系统，进而提出基于键合图理论的连续系统和基于有限状态机的离散系统的换挡过程混合建模方法。在Matlab／Simulink和Matlab／Stateflow平台上建立了包含多种状态的东方红1302R型橡胶履带拖拉机液压机械无级变速器的换挡过程仿真模型，仿真结果表明该建模方法能很好地模拟自动变速器换挡过程中离合器的动态行为，并通过仿真分析了其对换挡品质的影响。     

Predicting effects of drainage water management in Iowa's subsurface drained landscapes

Long-term hydrologic simulations are presented predicting the effects of drainage water management on subsurface drainage, surface runoff and crop production in Iowa's subsurface drained landscapes. The deterministic hydrologic model, DRAINMOD was used to simulate Webster (fine-loamy, mixed, superactive, mesic) soil in a Continuous Corn rotation (WEBS_CC) with different drain depths from 0.75 to 1.20 m and drain spacing from 10 to 50 m in a combination of free and controlled drainage over a weather record of 60 (1945-2004) years. Shallow drainage is defined as drains installed at a drain depth of 0.75 m, and controlled drainage with a drain depth of 1.20 m restricts flow at the drain outlet to maintain a water table at 0.60 m below surface level during the winter (November-March) and summer (June-August) months. These drainage design and management modifications were evaluated against conventional drainage system installed at a drain depth of 1.20 m with free drainage at the drain outlet. The simulation results indicate the potential of a tradeoff between subsurface drainage and surface runoff as a pathway to remove excess water from the system. While a reduction of subsurface drainage may occur through the use of shallow and controlled drainage, these practices may increase surface runoff in Iowa's subsurface drained landscapes. The simulations also indicate that shallow and controlled drainage might increase the excess water stress on crop production, and thereby result in slightly lower relative yields. Field experiments are needed to examine the pathways of water movement, total water balance, and crop production under shallow and controlled drainage in Iowa's subsurface drained landscapes.     

基于UG平台的直齿圆锥齿轮的三维精确建模

直齿圆锥齿轮是现代机械中应用最为广泛的一种传动机构。它可以用来传递空间两轴之间的运动和动力，而且传动准确、平稳、机械效率高。为此，介绍了一个在UG平台上建立直齿圆锥齿轮三维模型的新方法，该方法符合《机械原理》一书对直齿圆锥齿轮齿廓线的定义．实现了精确建模的目的。最后通过一个简单的实例。进一步阐明了该方法的实现过程。