对侧步马前肢运动轨迹数学模型建立与分析  

Mathematical Model Establishment and Analysis of Forelimb Trajectory for Horse in Pacing

作　　者：姚芳芳[1] 孟军[1] 曾亚琦[1] 姚新奎[1] 王东[1] 王欢[1] 张亚昂 孔麒森 程洁[1] 马立山[1] 张弦[1] 

机构地区：[1]新疆农业大学动物科学学院,乌鲁木齐830052

出　　处：《新疆农业科学》2016年第8期1554-1561,共8页Xinjiang Agricultural Sciences

基　　金：新疆维吾尔自治区科技厅重大专项"马(运动;肉用;乳用)生产关键技术研究与示范"(201130101);国家科技支撑计划项目"优质运动马培育生产关键技术研究与集成示范"(2011BAD28B06);国家科技支撑计划项目"速步;乳用;耐力马新品种(系)培育及良种扩繁技术研究与集成示范"(2012BAD44B00);2015年新疆农业大学研究生科研创新项目"青年速步马步态特征与运动性能相关性研究"(XJAUGRI2015005)~~

摘　　要：【目的】对侧步马不同模型和阶次前肢运动轨迹曲线拟合效果进行分析研究,为侧步马性能测定提供参考。【方法】基于马匹运动轨迹曲线的特点,采用Matlab软件中Cftool工具箱分别获取多项式拟合模型、高斯拟合模型和傅里叶拟合模型拟合方程式,并对拟合情况进行比较。【结果】傅里叶三阶和高斯三阶函数模型对侧步马肩关节、腕关节拟合效果极显著优于多项式模型(P<0.01);傅里叶三阶函数模型对侧步马前蹄拟合效果极显著优于高斯和多项式函数模型(P<0.01);傅里叶四阶函数模型对前飞节拟合效果显著优于高斯和多项式函数模型(P<0.01);傅里叶四阶和高斯四阶函数模型对肘关节拟合效果显著优于多项式函数模型(P<0.01)。【结论】肩关节和腕关节最优拟合模型为傅里叶三阶和高斯三阶函数拟合模型;肘关节最优拟合模型为傅里叶四阶和高斯四阶函数模型;前飞节最优拟合模型为傅里叶四阶函数模型;前蹄最优拟合模型为傅里叶三阶函数模型。[Objective] The purpose of this project is to analyze and study the fittilag effect of different models and the steps of the front limb movement trajectory curve of the lateral horse in order to in order to pro- vide a reference for the horse performance measurement. [ Method ] This paper was based on the horses＇ characteristics of the trajectory curve, and Cftool toolbox in Matlab software was adopted to get three times polyno-mial fitting model, Gaussian function fitting model and Fourier function fitting model fitting equations, and the fitting condition were compared. [ Result ] The results showed that there was no difference at fitting effect in Fourier third - order function model and Gaussian third - order function model for pacing horses at shoulder and elbow joints（ P〉0. 05 ）, but they were all better than polynomial model （P 〈0.01） ; Fourier third -order function model was significantly better than Gaussian function model and polynomial model （ P 〈 O. O1 ） at forehoof fitting; For the fetlock joint, fitting situation at Fourier forth - order function were superior to the Gaussian third - order function and polynomial fitting model （P 〈0.01 ） ; For the elbow joint, Fourier and Gaussian model fourth -order function model, the fitting effect was significantly better than polynomial function （P 〈 0.01 ）. [ Conclusion] Shoulder and wrist joint optimal fitting model is Fourier and Gaussian third - order function fitting model; Elbow joint optimal fitting model is Fourier and Gaussian forth - order function model ; fetlock joint optimal fitting model is Fourier forth - order function model; Forehoof optimal fitting model is Fourier third -order function model.

关 键 词：对侧步马 运动轨迹曲线 数学模型 拟合精度 

分 类 号：S821[农业科学—畜牧学]