小麦发育后期茎秆抗倒伏问题研究  

Research on Stem Lodging-Resistant of Wheat Growth in Later Stage

作　　者：李建军[1,2] 许新琨[2] 张海燕[2] 叶家宇[2] 章文芳[2] 宋伟[2] 

机构地区：[1]北京京北职业技术学院,北京101400 [2]解放军电子工程学院,安徽合肥230037

出　　处：《数学的实践与认识》2012年第15期54-65,共12页Mathematics in Practice and Theory

摘　　要：围绕小麦抗倒伏问题,综合运用数据预处理、相关性分析、数据拟合、数理方程、微分方程等方法,根据已有的抗倒伏模型,进行了模型修正,运用修正的模型,计算了六种小麦的倒伏指数,计算结果与试验结论基本吻合,并从生活常识的角度对模型的合理性进行论证,在对小麦茎秆性状相关性分析中,讨论了小麦最优性状特征,得出不同穗重下的最优株型结构,在考虑麦穗自重的前提下,进行力矩分析,运用最小势能原理进行理论推导,建立茎秆抗倒伏数理方程模型,并从数值计算和图形分析两个方面对模型的合理性进行了论证.The article embrace problem of wheat lodging resistance, comprehensive using of data preprocessing, correlation analysis, data fitting, mathematical equations, differential equations and other methods. Basing on already lodging resistance model, the model was update. Using correction models, lodging index of six kinds of wheat were calculated, the effects is basic anastomotic with experiment conclusions , the rationality of the model was demonstrated by living knowledge. Analysing on the correlation between stem characters of wheat, the characteristics of optimal characters in wheat was discussed, Optimal plant type structure under different panicle weight was obtained. On the premise of considering weight wheat, theoretical derivation was carried out by principle of minimum potential energy and torque analysis, the mathematical equations model of stem lodging resistance was set up, rationality of the model was demonstrated by numerical computation and graphic analysis.

关 键 词：倒伏指数 机械强度 相关系数 数据拟合 挠度曲线 

分 类 号：O242.1[理学—计算数学] S512.1[理学—数学]