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关于圆锥曲线离心率求解方法的总结——以双曲线为例 被引量:1
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作者 邓丽 《数学教学通讯》 2020年第21期85-86,共2页
圆锥曲线是高中数学解析几何知识模块中的重要一环,离心率是圆锥曲线中的一个重要概念,是对圆锥曲线形状特征的一个重要的量化描述,然而圆锥曲线概念较为抽象复杂,学生在求解圆锥曲线的离心率或者应用离心率解决问题时往往不知道该采用... 圆锥曲线是高中数学解析几何知识模块中的重要一环,离心率是圆锥曲线中的一个重要概念,是对圆锥曲线形状特征的一个重要的量化描述,然而圆锥曲线概念较为抽象复杂,学生在求解圆锥曲线的离心率或者应用离心率解决问题时往往不知道该采用哪些方法.文章总结了基本定义求解法、几何关系分析法、参数消元方程法和不等式约束法这四种常用的解题方法,并附上了对应的教学例题和方法分析. 展开更多
关键词 圆锥曲线 双曲线 双曲线性质 离心率基本定义 几何关系分析
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A novel finite element model for single-layered wire strand 被引量:2
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作者 周伟 田红旗 《Journal of Central South University》 SCIE EI CAS 2013年第6期1767-1771,共5页
A new finite element model for single-layered strand was investigated for accurate and efficient mechanical behavior analysis.Mathematical model was created by sectional path-nodes sweeping and dynamic node-beam mappi... A new finite element model for single-layered strand was investigated for accurate and efficient mechanical behavior analysis.Mathematical model was created by sectional path-nodes sweeping and dynamic node-beam mapping.Geometric relations between nodes in center core wire and helical wires were deduced in tension and bending incorporating material elasticity theory and deformation geometrical compatibility.Based on Timoshenko beam theory,strand of a pitch length was modeled with specific material,geometric parameters and synthesized constraint equations defined in ANSYS software,and predetermined load cases were performed.The obtained results show that discrepancies between suggested method and Costello theory do not exceed 1.51% in tension and 6.21% in bending,which verifies the correctness and accuracy of the suggested finite element model in predicting mechanical behavior of single-layered wire strand. 展开更多
关键词 wire strand finite element analysis nodal constraint equation geometrical compatibility Timoshenko beam theory
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