Study on Growth and Development Rules and Growth Curve Fitting of Minghua Black Minks

Growth curves of Minghua black minks at 0-180 days old were fitted and analyzed by using two growth models Logistic and Gompertz. The results showed that the growth curves of Minghua black minks could be fitted very well by Logistic model and Gompertz model （the degree of fitting FF≥0.99）, but Gompertz model was better at fitting and predicting their weight.

Determination of Material Parameters of EVA Foam under Uniaxial Compressive Testing Using Hyperelastic Models

The objective of this research was to determine the mechanical parameter from EVA foam and also investigate its behavior by using Blatz-Ko,Neo-Hookean,Mooney model and experimental test.The physical characteristic of EVA foam was also evaluated by scanning electron microscopy(SEM).The results show that Blatz-Ko and Neo-Hookean model can fit the curve at 5%and 8%strain,respectively.The Mooney model can fit the curve at 50%strain.The modulus of rigidity evaluated from Mooney model is 0.0814±0.0027 MPa.The structure of EVA foam from SEM image shows that EVA structure is a closed cell with homogeneous porous structure.From the result,it is found that Mooney model can adjust the data better than other models.This model can be applied for mechanical response prediction of EVA foam and also for reference value in engineering application.

Comparative Study on Analysis and Fitting of Pudong Chicken Growth Curve

The objective of this paper was to study the growth and development laws of Pudong chicken. The growth curve of Pudong chicken （cock and hen） from 0 to 20 weeks was analyzed and fitted with three models（Gompertz, Logistic and Bertalanffy）. It was concluded that the growth curves were appropriately fitted with three models, and fitness degree （R2）in growth data of Pudong chicken were all above 0.992. The Bertalanffy model was the most effective with the highest R2 for cock （R^2=0.995） and hen （R^2=0.999）, respectively. With further analysis of fitted parameters for Logis- tic model of cock, 0-3 weeks＇ fitted values were significantly greater than measured values and 4-8 weeks＇ fitted values were lower than measured values. Compared with Logistic model, the values calculated by Gompertz model and Bertalanffy model were more coincident with the practical measuring values. For hens, 0-3 weeks＇ fitted values of Logistic model were significantly greater than measured values and 0-2 weeks＇ fitted values of Gompertz model were slightly greater than measured values, while the values calculated by Bertalanffy model best matched the observed values from actual measure. The results showed that Bertalanffy model used to estimate the growth weight of Pudong chicken was the best while Logistic model was the worst. So the fitness and analysis of growth curves of Pudong chicken are valid, which may be adopted to predict growth and development laws of Pudong chicken and provide reliable data for precise feeding and breeding.

A NEW APPROACH TO THE CURVE FITTING OF IN VITRO RADIOASSAYS BASED ON THE MASS ACTION LOW

A new curve fitting method with its mathematical models derived from the mass action law is presented which is applicable to several in vitro radioassays including RIA and RBA. Experiments revealed that the robustness of this method is better than the conventional methods like Woolf plot in RBA and 4- parameter logistic plot in RIA. However, the robustness of this method is only relative: in some cases of RIA and RBA, the bias of the results may still be too large to be acceptable. Further improvement is expected to be studied.

Analysis-Aware Modelling of Spacial Curve for Isogeometric Analysis of Timoshenko Beam

Geometric fitting based on discrete points to establish curve structures is an important problem in numerical modeling.The purpose of this paper is to investigate the geometric fitting method for curved beam structure from points,and to get high-quality parametric model for isogeometric analysis.ATimoshenko beam element is established for an initially curved spacial beam with arbitrary curvature.The approximation and interpolation methods to get parametric models of curves from given points are examined,and three strategies of parameterization,meaning the equally spaced method,the chord length method and the centripetal method are considered.The influences of the different geometric approximation algorithms on the precision of isogeometric analysis are examined.The static analysis and the modal analysis with the established parametric models are carried out.Three examples with different complexities,the quarter arc curved beam,the Tschirnhausen beam and the Archimedes spiral beam are examined.The results show that for the geometric approximation the interpolation method performs good and maintains high precision.The fitting algorithms are able to provide parametric models for isogeometric analysis of spacial beam with Timoshenko model.The equally spaced method and centripetal method perform better than the chord length method for the algorithm to carry out the parameterization for the sampling points.

Least squares fitting of coordinate parameters model

This paper starts with untime-diversification of the time-diversification deformation model and gives displacement distribution model of untime-diversification and simplifies further the study of deformation model. The paper discusses the problem of least squares fitting of coordinate parameters model—parameters of deformation model. During discussion, the basic means of cubic B splines and two steps of multidimensional disorder datum fitting are adopted which can make fitting function calculated mostly approximate coordinate parameters model and it can make calculation easier.

Comparative Study on Growth and Developmental Model of Indigenous Chicken Breeds in China

The growth and development regularity and genetic parameters were described in three types of indigenous chicken in China, Shaobo, Huaixiang and Youxi Chicken, by 3 nonlinear mathematics models, Logistics, Gompertz and Bertalanfy, according to the data of Body Weight from 1 week to 10 weeks. The results showed that the growth process of the three breeds could be illustrated well by three models, and the indices of fitness were very high (more than 0.99). Among the 3 models, Gompertz model was the best for its less bias from practice. The inflexions of growth were 5.98, 5.11 and 6.16 weeks of age, and body weights were 2115.77 g, 1499.08 g and 1409.62 g, respectively in Shaobo Chicken, Huaixiang Chicken and Youxi Chicken.

Applications of Chapman-Richards model to geotechnical engineering

In this paper,the Chapman-Richards model is adapted to best fit three types of nonlinear curves that are generally encountered in geotechnical engineering practices,i.e.the degree of consolidation versus time factor curves in one-dimensional consolidation and plane strain consolidation under strip loading,the compressibility and permeability curves of soft clay,and the geometry parameters of geosynthetic tube versus pumping pressure curves.The methods of determining unknown parameters using the Chapman-Richards model are fully demonstrated.It is found that the Chapman-Richards model has its range of applications in geotechnical engineering and may provide unique insights into the complexity of geotechnical problems.

房室模型(Compartment Model)在权益变动分析中的应用

本文将负债和业主权益看成是房室模型中的两间房室,将负债与业主权益的变动问题转化为房室模型的求解问题,并以会计理论与经济学理论为依据,设定假设,使两房室模型中的6个参数求解成为可能,从而发现了权益的时间分布规律。最后本文利用一家上市公司会计报表的历史数据,验证了对权益变动建立房室模型进行求解及预测的可行性。

基于van Genuchten模型土壤水分特征曲线的vanfit和MATLAB软件模拟研究

研究了土壤水分特征曲线对探讨土壤水分运动机理及溶质运移动力学机制具有重要科学意义。由于测定土壤水分特征曲线的长历时性和时间限制,在从相关参考文献中提取土壤水分特征曲线测定数据的基础上,建立土壤水分特征曲线的资料库,采用van Genuchten模型对土壤水分特征曲线进行描述,分别应用vanfit软件和MATLAB软件下的lsqcurvefit函数2种方法对土壤进行van Genuchten模型下的4个参数拟合分析。结果表明,2个程序拟合结果大体相近且优良,均方差较小,拟合曲线大致相同,且土壤质地不同,其土壤水分特征曲线差别较大。

基于曲线拟合误差估计的阻抗优化识别方法

在雷达系统、舰船系统、数据中心等大型复杂系统中,供配电系统变流器端口阻抗信息的完整、快速、准确获取,是研判系统可靠性的重要基础。现有研究大都使用分段线性拟合值方法进行阻抗识别,不仅需要大量阻抗测量才能获得完整的阻抗特性,并且可能因过度测量而对系统的正常运行造成干扰。针对这些问题,从阻抗特性曲线的非线性拟合入手,提出一种“非线性曲线拟合、全局误差估计、优选测量点频率”的阻抗识别方法,实现基于曲线拟合误差估计的测量点优化选择,以较少阻抗测量代价获取宽频带阻抗特性。与现有的方法相比,所提方法更有助于测量点的合理选择、阻抗谐振峰的准确识别,从而更高效地实现宽频带阻抗的识别,为复杂供配电系统运行状况的研判提供可靠依据。算例仿真证实了所提方法的有效性。

基于微分方程曲面求交跟踪法的包容式节点相贯区域建模研究

包容式节点是一种新型管状相贯式节点,其形态是一种典型的薄壁自由曲面结构。在进行曲面造型过程中会涉及曲面求交的问题,而曲面求交是计算机辅助几何设计(CAGD)领域中的关键技术之一。本文构建了包容式节点非均匀有理B样条(NURBS)曲面模型,将求包容式节点中的相贯线问题转化为NURBS曲面的求交问题。基于微分方程的跟踪算法原理,在分割法求得初始交点的基础上,采用微分方程追踪法求出所有交点,最后将所求得交点进行曲线拟合,交线包围区域即为包容式节点与腹杆相贯焊接区域。

基于自适应AR模型巡航飞行参数预测研究

为更准确实现飞行参数趋势预测,提出一种基于自适应自回归(AR)模型的稳定巡航飞行参数预测方法。根据稳定巡航参数筛选条件,获取建模所需飞行参数。利用卡尔曼滤波原理估计AR模型参数,并与飞行参数构建系统方程,利用无迹卡尔曼滤波实时更新、修正AR模型参数估计值,将自适应AR模型的预测值与曲线拟合模型和灰色模型的预测值进行对比。以波音B777-300ER飞机的快速存取记录器数据样本进行仿真验证,结果表明:自适应AR模型在数据预测和收敛速率方面均更优,可有效降低预报模型随步数增加导致的精度误差,提高参数预测准确性。研究在飞机维修保障、状态监控与预测等方面具有重要作用。

光伏组件单二极管模型的新型曲线拟合算法

针对光伏组件单二极管模型的非线性隐式超越方程特性,提出了一种改进的曲线拟合算法,通过调整模型中二极管反向饱和电流的求解形式,并应用高斯-牛顿法进行参数迭代,有效提升了模型的仿真精度和计算速度。通过与经典算例的结果对比分析,验证了所提出的算法在提高仿真精度和改善收敛性方面的显著优势,为光伏发电系统设计和性能评估提供了有力的技术支持。

肉羊不同杂交组合生长曲线模型筛选及分析

为研究肉羊不同杂交组合生长发育规律及评价适宜推广的杂交模式,以引进品种澳洲白、杜泊和萨福克羊为父本,湖羊为母本进行杂交试验。测定不同杂交组合1~6月龄体重,利用Brody、Logistic、Gompertz和Von Bertalanffy 4种模型分别拟合各杂交组合体重发育过程,分析体重参数和模型估计值,评价杂交优势。结果表明:4种模型的拟合度(R^(2))均在0.95以上,其中Von Bertalanffy模型估计值最接近各个杂交组合的实测值,拟合效果最佳,拐点体重介于7.64~9.98 kg之间,拐点日龄在25~35 d之间。澳湖、杜湖和萨湖3个杂交组合最大日增重均在200 g左右(P>0.05),表明三者体重发育相近且适宜推广。Von Bertalanffy模型符合杂交羔羊体重实际生长现状,可为杂交羔羊早期体重发育评估提供依据。

不同羽系拜城油鸡生长发育规律及生长曲线拟合分析

【目的】研究不同羽系拜城油鸡生长发育规律,为拜城油鸡的科学饲养管理和品种改良提供理论依据。【方法】分别选择0日龄健康的黑麻羽系、黄麻羽系和银灰羽系拜城油鸡雏鸡各200只(公母各半),测定并记录0~22周龄的体重,采用Logistic、Gompertz和Von Bertalanffy生长模型对拜城油鸡公、母鸡的体重进行生长曲线拟合分析。【结果】10、14周龄黑麻羽系公鸡的体重显著高于银灰羽系公鸡的体重(P<0.05),12周龄黑麻羽系公鸡的体重显著高于黄麻羽系和银灰羽系公鸡的体重(P<0.05),16周龄黑麻羽系和黄麻羽系公鸡的体重极显著高于银灰羽系公鸡的体重(P<0.01),20、22周龄黑麻羽系和黄麻羽系公鸡的体重显著高于银灰羽系公鸡的体重(P<0.05);母鸡中,黄麻羽系母鸡的初生重分别显著或极显著高于黑麻羽系和银灰羽系母鸡(P<0.05或P<0.01),6、8周龄黑麻羽系母鸡的体重显著高于银灰羽系母鸡的体重(P<0.05),20、22周龄龄黄麻羽系母鸡的体重显著高于银灰羽系母鸡的体重(P<0.05);3个羽系拜城油鸡的生长曲线均呈现“S”型;3个羽系公鸡均在第10周达到生长高峰,母鸡在第12周达到生长高峰;3种生长模型的拟合曲线与实际曲线基本吻合,Von Bertalanffy模型对公、母鸡的拟合效果最佳(R 2>0.998),黑麻羽系、黄麻羽系和银灰羽系公鸡的拐点周龄分别为8.629、9.389、8.947,拐点体重分别为858.207、911.107、842.681 g;母鸡的拐点周龄分别为7.946、8.619、7.936,拐点体重分别为635.543、679.577、609.097 g。【结论】不同羽系拜城油鸡的生长发育存在差异,3个羽系拜城油鸡公、母鸡的最优生长模型均为Von Bertalanffy模型。

基于数据模型双驱动的电动公交车多时段负荷建模和调节潜力评估

随着电动公交车渗透率的增加,对其进行充电负荷建模及其调节潜力研究愈发具有现实意义。由此,提出一种基于数据模型双驱动的电动公交车多时段负荷建模和调节潜力评估方法。首先通过分析电动公交车负荷特性影响因素,按运营情况对电动公交车进行分类,进而提出时段划分依据。其次基于历史数据确定拟合函数模型,并结合电动公交车多时段充电特性确定负荷模型的各个参数,建立电动公交车多时段负荷解析模型。然后综合考虑电网侧和用户侧的需求约束,分析各时段可参与调节车辆数量变化情况,提出多时段调节潜力解析评估模型。最后结合某地电动公交车的历史实际数据进行实例验证。结果表明所提负荷建模及调节潜力评估方法具有较强的适用性和有效性,为电网削峰填谷提供了有力支撑。

压力棒牵伸区中的纤维数量分布模型

牵伸区中纤维的运动状态受与其接触纤维状态的影响,为研究牵伸区中纤维的运动状态,对上托式压力棒牵伸区中各类纤维的数量分布进行了研究。分析了牵伸区中各类纤维的理论分布,测量了牵伸区中的各类纤维数量分布,简化了纤维数量分布曲线。再通过均匀设计,测试了不同牵伸参数下的变细曲线,建立了变细曲线与牵伸参数之间的回归方程,最终得到了牵伸区中的纤维数量分布模型。结果表明:牵伸区中各类纤维的数量分布受牵伸倍数、罗拉握持距、纤维长度、压力棒位置等牵伸参数的显著影响,纤维的数量分布可基于总纤维、前纤维和后纤维的数量分布得到。回归方程的平均拟合误差在7%以内,所建立的纤维数量分布模型适用于涤纶和粘胶纤维。

基于曲线拟合的围堤地基工后沉降预测

地基工后沉降是评判地基处理效果的一个重要指标,针对分层总和法、计算机数值计算预测沉降存在的各种不合理假定,应用Origin软件对相当数量的实测沉降数据进行曲线拟合预测沉降体现了优势。通过指数模型、双曲线模型、Weibull模型的沉降预测值与实测值对比,双曲线模型有更高的预测精度,随着沉降监测向自动化发展,实测数据取得更加容易,为基于曲线拟合的沉降预测提供广阔的前景。

清远黄羽乌鸡生长曲线的拟合与分析

为了解清远黄羽乌鸡的生长特性,筛选出最优的生长曲线模型,试验选择同一批次健康清远黄羽乌鸡100只(公母各半),每周进行1次体重测定,采用Logistic、Von Bertalanffy和Gompertz 3种模型对清远黄羽乌鸡0~22周龄的体重增长数据进行了拟合分析。结果表明,3种生长曲线模型的拟合度(R^(2))均在0.990以上,可用于描述清远黄羽乌鸡的生长发育规律。其中,Gompertz模型对公鸡体重的拟合度最高(R^(2)=0.999),公鸡的拐点体重950.49 g、拐点周龄10.28 w、最大周增重133.07 g。Von Bertalanffy模型对母鸡体重的拟合度最高(R^(2)=0.999),母鸡的拐点体重为757.62 g、拐点周龄为10.47 w、最大周增重为90.91 g。以上结果说明Gompertz模型更适于拟合公鸡的生长过程,Von Bertalanffy模型更适于拟合母鸡的生长过程。该试验结果初步揭示了清远黄羽乌鸡的生长过程,为该品种的选育、饲养管理和实际生产提供参考。