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蜘蛛网结构性能研究
引用本文:张学阳,曾培煌.蜘蛛网结构性能研究[J].数学建模及其应用,2013,2(1):34-38.
作者姓名:张学阳  曾培煌
摘    要:以蛛网捕丝与放射丝结点为研究对象,首先应用达朗贝尔原理对结点进行受力分析,运用动力松弛法将猎物作用于结点的动态力变为静力建模;然后考虑不同捕食策略对蛛网结构的影响,将捕食策略变为约束条件,蛛丝上的最小残余力作为优化目标,建立基于捕食策略的单目标规划模型;最后提出将环境影响因子转化为目标函数的约束条件的模型改进方法。

关 键 词:皮芯层结构  功能反应  寻找效应  动力松弛法

Study on Structure and Properties of Spider Web
Abstract:We take the wire spider web with radiation wire nodes into consideration . And we use the D'Alembert's principle of node stress to analysis ,use the dynamic relaxation method that will prey on the dynamic node forcing into static modeling ,then consider different hunting strategies influencing the structure of spiders. We take the predatory strategies as constraint conditions, the minimum residual force line as the optimization goal to build single objective programming model strategy that is based on the hunting.Finally, we put forward some influencing factor methods of the model of environmental . That is to add six main environmental impacts based on the existing model.
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