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索-梁组合结构的面内外模态分析

In-out-plane Modal Analysis of the Cable-stayed Beam
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摘要 利用哈密顿变分原理以及结构动静态构型的影响,建立了索-梁组合结构的约化运动学控制方程.根据求解得到的面内面外特征值方程,并通过分段函数的引入,研究了结构的模态函数的几种形式.随后,根据索-梁组合结构中索的模态函数,分析了面内外运动"局部模态"和"模态局部化"现象的产生.研究表明,在面内运动,在不考虑内共振情况下,面内运动索的大幅振动是由于"模态局部化"现象的产生,而根据特征值方程,"局部模态"只能出现在索-梁组合结构索的面外运动. Using the Hamilton principle and the effects of the dynamic and static configuration of the cable and beam, the equations of motion of the cable-stayed beam can be obtained. Considering the boundary and continuity conditions, the in-plane eigenvalue problem is investigated. By introducing the piecewise function, the mode shapes can be obtained. It is shown that the curve veering phenomenon can be observed in the natural frequency spectrum of the system. The frequency crossover phenomenon is obvious. Considering the local mode and global mode, the mode shapes of the cable-stayed beam are discussed.
作者 沈忠伟
机构地区 国家电网湖南省电力公司检修公司
出处 《湖南城市学院学报（自然科学版）》 CAS 2017年第2期25-27,共3页 Journal of Hunan City University:Natural Science
基金 湖南省教育厅科研项目(15C1411)
关键词 哈密顿变分原理 索-梁组合结构 局部模态 Hamilton＇s principle cable-stayed beam local modal
分类号 O313.3 [理学—一般力学与力学基础]
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湖南城市学院学报（自然科学版）
2017年 第2期

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