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覆冰输电导线舞动的Noether对称性和守恒量

郑明亮 刘洁 邓斌

郑明亮, 刘洁, 邓斌. 覆冰输电导线舞动的Noether对称性和守恒量[J]. 应用数学和力学, 2021, 42(3): 275-281. doi: 10.21656/1000-0887.410189
引用本文: 郑明亮, 刘洁, 邓斌. 覆冰输电导线舞动的Noether对称性和守恒量[J]. 应用数学和力学, 2021, 42(3): 275-281. doi: 10.21656/1000-0887.410189
ZHENG Mingliang, LIU Jie, DENG Bin. The Noether Symmetry and Conserved Quantity of Galloping Iced Power Transmission Lines[J]. Applied Mathematics and Mechanics, 2021, 42(3): 275-281. doi: 10.21656/1000-0887.410189
Citation: ZHENG Mingliang, LIU Jie, DENG Bin. The Noether Symmetry and Conserved Quantity of Galloping Iced Power Transmission Lines[J]. Applied Mathematics and Mechanics, 2021, 42(3): 275-281. doi: 10.21656/1000-0887.410189

覆冰输电导线舞动的Noether对称性和守恒量

doi: 10.21656/1000-0887.410189
基金项目: 江苏省高等学校自然科学基金(18KJB460027;20KJD4600001)
详细信息
    作者简介:

    郑明亮(1988—),男,博士(通讯作者. E-mail: zhmlwxcstu@163.com).

  • 中图分类号: Th122|O316

The Noether Symmetry and Conserved Quantity of Galloping Iced Power Transmission Lines

  • 摘要: 为克服传统输电导线非线性振动响应数值模拟的非保结构缺点,研究了输电导线在覆冰和大风激励条件下双向舞动中的Noether对称性和守恒量.首先,考虑空气动力和导线几何的非线性,依据分析力学方法建立了垂向与扭振两自由度舞动模型;其次,引进群分析理论,根据不变性原则给出了系统存在Noether对称性的条件以及相应守恒量的形式;最后,构造了一种保守恒量离散数值算法.研究表明,用Noether对称性理论研究机械结构非线性动力学系统力学特性,能保系统内在结构属性,方法新颖,适用范围广,结果可靠准确.
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出版历程
  • 收稿日期:  2020-06-20
  • 修回日期:  2020-07-27
  • 刊出日期:  2021-03-01

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