A Muti-Objective Network Planning Model for Project

Based on the network planning model developed by the author for an overhaul project of a rolling mill production line in a heavy steel plant, an new multiobjective network planning model is proposed in this paper. The formulations of network time parameters are derived. The optimization problem of multiobjective network planning is also discussed. And it has been found out that the fractional single-objctive network is only one of the cases in this model.     

Coupled Vibration of Saturated Fractional Derivative Type Viscoelastic Soil of a Circular Tunnel with Partially Sealed Shell Lining

Considering the compression of medium and fluid, coupled vibration of saturated fractional derivative type viscoelastic soil and a circular tunnel with partially sealed shell lining in the frequency domain is investigated according to theories of Biot and elastic shell. The stress and displacement constitutive behavior of the soil skeleton is described by fractional derivative model which reflects the rheological properties of the medium while regarding soil as a liquid-solid saturated porous medium. The expressions of displacement, stress and pore water pressure are obtained while the inner boundary of circular tunnel is subjected to axially symmetric radial traction and axially symmetric fluid pressure respectively by introducing a partially permeable boundary condition. With the parameter analysis, it is revealed that the order of fractional derivative model on the responses for the system subjected to the symmetric radial traction is much greater than that of the system under the axially symmetric fluid pressure. And resonance phenomenon occurs obviously. Nevertheless the system responses do not have remarkable resonance phenomenon under axially symmetric fluid pressure.     

A METHOD OF SYSTEM IDENTIFICATION AND MODEL REDUCTION BASED ON TIME-DOMAIN RESPONSE OF A DYNAMIC SYSTEM

This paper combines model reduction with system identification by means of time-domain function approximation, and presents a new time domain method of direct identification of linear reduced model and model reduction, and demonstrates existence theorem of its solution and criterion of order determination. Simulation tests show that the method is simple, accurate with few data requirement.     

植被覆盖度计算机模拟模型与参数敏感性分析

植被覆盖度是重要的生态学参数,对水文、生态、全球变化等研究具有重大意义。目前使用的目测估算法和数码照相法都具有一定的主观性,另外通过自然界中相似样方的大量测量获得稳定的统计规律具有很大的难度,因此建立叶面积指数和植被覆盖度之间的统计模型是估算植被覆盖度的有效方法。本文以大豆为例,利用椭圆来模拟大豆的叶片,选取大豆植株结构的关键参数,通过随机分布函数来模拟植株叶片位置、倾角和大小的分布,获得不同植被结构参数下单位面积上的植被覆盖度,建立植被覆盖度计算机模拟模型。通过实测数据和理论研究结论来验证模拟结果。对模型的参数敏感性进行分析结果表明,叶半短轴是比叶半长轴更为敏感的植被结构参数。该模型为植被覆盖度的研究提供了一种新的思路和方法。     

A Simplified Thermoelastic Model for Composite Iaminated Shells

To effectively analyze the one way coupled thermoelastic problem for composite laminated shells, a simplified thermoelastic shell model based on the variational asymptotic method (VAM) was developed. The 3 D energy functional for composite laminated shell was established according to the Hamilton extended principle. Then the 3 D energy was asymptotic expanded into a series of 2 D approximation energies by taking advantage of the inherent small parameters. Finally, the approximate energy was converted to the form of Reissner Mindlin model, and the 3 D recovery relationships were deduced to accurately predict the 3 D field distribution along the thickness direction. The cylindrical bending example of a four layer composite laminated shells under the sinusoidal surface load and temperature field shows that the modeling speed is fast (equivalent single layer model, which can reduce two or three order calculations compared to the 3 D finite element method), and the nonlinear approximation ability is excellent (convergent to the exact solution).     

上覆分数阶粘弹性饱和场地土位移地震放大系数

考虑土体液相和固相的耦合作用,将基岩上覆场地土视为两相饱和多孔介质。为了考虑饱和场地土的粘弹性特性,其固相土骨架的应力应变关系利用分数阶Kelvin粘弹性模型来描述,建立了上覆分数阶粘弹性饱和场地土在简谐地震波作用下的运动控制方程。运用分数导数的性质并考虑上覆场地土的边界条件和透水性条件求解了上覆分数阶粘弹性场地土在简谐地震波作用下的振动问题,得到了饱和场地土的位移地震放大系数。采用数值算例分析讨论了分数导数的阶数、液固耦合系数、土体模型参数、基岩土体剪切模量比等参数对位移地震放大系数的影响。研究结果表明,分数导数的阶数、液固耦合系数、土体模型参数、基岩土体剪切模量比对饱和场地土的地震响应有较大的影响,通过压实场地土,可以达到增大液固耦合系数减小地震响应的作用,通过增大饱和场地土的粘性和剪切模量也可以减小地震反应。     

Iterative Approximation with Errors for Solutions to Variational Inclusions With Strongly Accretive Type Mapping

We established the generic principle in Banach spaces about unique existence of solutions and approximation of Ishikawa iterative procedures with errors for a class of variational inclusions with strongly accretive type mappings. It is also pointed out that this problem, widely researched approximation of Ishikawa iterative procedures for variational inclusions with strongly accretive type mappings, is only an especied example of Ishikawa iterative procedures with errors. The results are the popularization and deuelopment of the recent corresponding results.     

基于分数阶灰色模型的生鲜电商产品销量预测研究

新型冠状病毒的爆发,使供应链受到了不良影响,蔬菜水果等生鲜商品线下批发零售受阻,生鲜电商却迎来了新一轮的发展.从生鲜消费者角度出发,通过构建分数阶灰色预测模型对生鲜产品的需求量进行预测,并引入甘福园生鲜电商销售数据进行验证,得到柠檬、车厘子、苹果及火龙果4种水果拟合值的平均绝对百分比误差(MAPE)分别为8.61％、7.15％、7.16％、6.81％,其值均小于灰色预测模型和一次指数平滑法,且由该模型得到预测值的平均绝对百分比误差均小于10％,结果表明该模型适用于生鲜电商产品销量预测.     

豫西黄土区夏玉米非充分灌溉制度研究

豫西黄土区水资源紧缺,为充分利用当地的雨水资源,以非充分灌溉原理和节水农业理论为指导,采用Jensen模型,以夏玉米生长各阶段单位面积上实际产量与可能最大产量之比最大为目标函数,灌溉水量与实际腾发量为决策变量,可分配的水量和计划湿润层内可供利用的水量为状态变量,用动态规划逐次逼近法求解该模型,推求夏玉米的非充分灌溉优化制度。结果表明：优化结果与试验数据相吻合,说明Jensen模型在该地区的适用性。     

Comparison of a one- and two-stage mixed model analysis of Australia’s National Variety Trial Southern Region wheat data

A one-stage analysis of a series of variety trials involves a combined analysis of the individual plot data across trials. Together with prudent modelling of the genetic effects across trials, this is considered to be the gold standard analysis of multi-environment field trial data. An alternative is a two-stage approach in which the variety means from an analysis of the individual trials in stage one are combined into a weighted mixed model analysis in stage two to give the full set of predicted variety by environment effects and an estimate of their associated variance structure. The two-stage analysis will exactly reproduce the one-stage analysis if the full variance-covariance matrix of the means from stage one is known and is utilised in stage two. Typically the full matrix is not stored and a diagonal approximation is used. This introduces a compromise to the full analysis. The impacts of a diagonal approximation are greater in the presence of sophisticated models for the genetic effects. A second compromise is through a loss of information in estimating the non-genetic variance parameters using the two-stage approach. In this paper we draw a direct link between the one and two-stage analysis approaches for crop variety evaluation data in Australia. We now have the computing power to analyse large and complex multi-environment variety trial data sets using the one-stage approach without the need for a two-stage approximation. This should motivate a move away from the two-stage approach in a range of contexts.     

A concentration and diffusion model of particulate pollutants in transition room environments

We developed an integral concentration and diffusion model based on the aerosol theory. We studied the representation method and actualization process for pollution substances under stable and unstable status using the integral concentration model. We studied modeling and computing processes based on reflecting and absorbing barriers using the diffusion model. The model we developed can improve understanding of the change and distribution rules of inner pollution particles in transition rooms. Moreover, it provides a reference for environmental quality control and evaluation, and trouble free operation of the laser experimental system.     

基于能量守恒定律对西原模型的改进与验证

在油气钻井工程中,由岩石蠕变引起的井眼缩径或井壁坍塌时有发生,本文基于能量守恒定律分析岩石蠕变的3个阶段,阐述传统的蠕变模型难以研究岩石加速蠕变阶段的原因。为此,在西原模型的基础上串联了一个绕组元件,建立改进西原模型及相应的本构方程。根据油气开发过程中所钻遇地层部分岩心的蠕变实验数据,对建立的改进西原模型进行验证,表明该模型能够很好地反映出岩石的蠕变特性,尤其是在岩石所受荷载大于长期强度的情况下,对凸显岩石加速蠕变阶段效果明显。该改进西原模型的提出可为进一步揭示岩石蠕变的客观规律提供理论依据。     

An Exchange Algorithm for the Best Chebyshev Normal Approximation by Quadratic Curves

According to the criterion of measuring profile error,a mathematical model for the best approximation to profile of gear is presented;the characteristic of the best quadratic curve approximation is derived.An algorithm and its convergence are discussed.Finally,the quadratic curve approximations to the profiles of many gears are obtained efficiently by the algorithm.The approximation errors are less than 0.8 micrometers.     

基于农田实景图像的玉米覆盖度估算模型

为实时、准确地获取玉米覆盖度,为玉米长势监测提供科学依据,以农田小气候实景站采集的玉米图像为数据源,利用图像处理技术对玉米图像进行分析处理,结合9种图像颜色指数(NDI、ExG、ExR、ExG-ExR、R-G、G-B、VEG、CIVE、(G-B)/|R-G|),构建了基于图像颜色指数的玉米覆盖度估算模型。结果表明：利用图像颜色指数可以有效估算玉米覆盖度,除颜色指数(G-B)/|R-G|外,其他8种颜色指数估算玉米覆盖度的精度均较高,其中,以VEG为变量的玉米覆盖度估算模型精度最高,预测结果的R²为0.993,RMSE和MAE均最小,分别为0.0270、0.0223。该方法可以有效、快速的提取玉米覆盖度。     

Assessment of uncertainty and sensitivity analyses for ORYZA model under different ranges of parameter variation

We explore the effects of different ranges of parameter variation (RPV) on sensitivity and uncertainty analyses for ORYZA_V3 model. In this study, a latin hypercube sampling (LHS) technique is used to generate parameter sample sets, and a regression-based method is employed for the sensitivity analysis on 16 crop parameters. Then, a top-down concordance coefficient (TDCC) is calculated to assess the stability of parameter sensitivity rankings across diverse RPV. Furthermore, coefficients of variation (CV) and 90% confidence intervals (90CI) of daily model outputs are analyzed by considering uncertainty in observations. We find that the increasing RPV multiplies the CV of daily model outputs, whereas the RPV has no effect on the CV’s change rule over time. The 90CI of model outputs include most of the observations when the RPV is more than ±30% perturbation. The standardized regression coefficient (SRC) of some parameters are obviously minified when the RPV is ±5% or ±50% perturbation. The results highlights the importance of RPV selection in the sensitivity and uncertainty analysis of crop model, and ±30% perturbation was suggested when the RPV cannot be specifically obtained.     

基于高光谱分数阶微分的烟叶SPAD值估测

基于高光谱分数阶微分估测烟叶SPAD值,旨在提升高光谱数据估测烟叶SPAD值的准确度。首先,确定估测烟叶SPAD值的最优变换方式,并进行分数阶微分处理;然后,基于相关性分析、袋外数据(OOB)重要性、随机森林(RF)相结合的方法,筛选特征波长;最后构建烟叶SPAD值估测模型。结果表明：（1）估测烟叶SPAD值的特征波长主要有绿波段(499、500 nm),红边波段(634、636、702、703、732 nm)、近红外波段(972、1286、1289、1295、1298、1316 nm)、短红外波段(1450、1453、1456、1806 nm)。（2）以1.9阶次的特征波长所构建的RF-SPAD模型的精度最高,R²=0.690,较0、1、2阶次分别提高了22.1%、42.6%、87%,RMSE=2.799,比0、1、2阶分别减少了13.5%,20.2%,27.8%。利用1.9阶次特征波长构建的RF-SPAD模型较整数阶次模型有效提高了烟叶SPAD值的估测精度,为高光谱分数阶微分技术估测SPAD值提供了新的思路。     

水稻冠层垂直反射率模拟

利用1999年和2000年实测的晚稻冠层结构参数(叶面积指数、叶倾角、叶长、叶宽等)和叶片生物化学组分含量(叶绿素、蛋白质、纤维素、水等)实测数据,结合椭圆分布函数模型、PROSPECT模型和FCR模型,模拟水稻冠层垂直反射率,模拟值与实测值的相关系数大于0.98,均方根差RMSE小于0.05,从而建立了冠层结构参数、叶片生物化学组成等农     

Study on the Nonlinear Vibration System with Slow-changing Parameters

In this paper a posteriori error estimates for Galerkin approximation of general operator equations is firstly presented in the framework of Sobolev spaces. Then a practical posteriori error estimates formula for the adaptive boundary element method solving the acoustic scattering problem with a finite plane screen is obtained by triangulations. The mathematical model of this problem is the three dimensional Neumann boundary value problem of Helmholtz equation with finite plane boundary.     

A conceptual model of farmers' decision-making process for nitrogen fertilization and irrigation of durum wheat

With a 2 millions of tons production, France is the second country in the European Union to produce durum wheat. Durum wheat production requires high grain nitrogen concentration. Irrigation and nitrogen fertilization must be managed simultaneously to maximize grain yield and also avoid low protein concentration and environmental impacts. To help advisors and farmers to better manage together these two agricultural operations and to develop innovative managements, developing a biodecisional model is an interesting possibility. However, knowledge is still missing on how farmers already managed these operations and how these two operations are linked. We developed the conceptual model for the decision part of this computer model. We performed a survey of 28 farmers conducted over the five French production areas investigating a diversity of growing conditions to identify the set of possible constraints and farmers' decision rules. To analyze the survey, we first used a general inductive approach on individual cases and then built a conceptual model of the decision with a bottom-up approach. We identified four decision sequences for fertilization (N splitting, choice of N fertilizer, rate of application, fertilization triggering) and five for irrigation (irrigation period, anticipated number of irrigation cycles, irrigation cycles organization, irrigation triggering and irrigation cycle specificities). For each operation, the first three decision sequences refer to strategic decisions. The other decision sequences refer to tactical decisions. Coupling this model with a crop model could provide guidelines for managing durum wheat in the current climatic and economic changing context.     

APPROXIMATION OF INVOLUTE PROFILE BY MOON-SHAPED RING SECTION

In this paper,we study the approximation of involute profile by moor-shaped ring section. By using the minimax method, we find parameter of the best approximation moon-shaped ring section of invelute piofile. The error of approximation is 35% - 70% that of [1] and [2]. Thus the approximation precision of dressing a wheel for involute gear forming-grinding by approximating method has been greatly improved. In order to simplify calculation, the error function is defined according to the implicit equation of curve and its rationalization is proved.