节点文献

斜拉索拱考虑拱受外激励作用下1∶1内共振分析

On the One-to-one Internal Resonance of Cable-stayed Arch under External Excitation on Arch

  • 推荐 CAJ下载
  • PDF下载
  • 不支持迅雷等下载工具,请取消加速工具后下载。

【作者】 吕建根金波赵跃宇王荣辉

【Author】 LV Jian-gen1,2,JIN Bo3,ZHAO Yue-yu3,WAMG Rong-hui1 (1.School of Civil Engineering and Transportation,South China Univ of Technology,Guangzhou,Guangdong 510641,China;2.College of Urban Construction,Zhongkai Univ of Agriculture and Engineering,Guangzhou,Guangdong 510225,China;3.College of Civil Engineering,Hunan Univ,Changsha,Hunan 410082,China)

【机构】 华南理工大学土木与交通学院仲恺农业工程学院城市建设学院湖南大学土木工程学院

【摘要】 研究在拱受外激励作用下斜拉索拱结构中索拱之间1∶1内共振问题.当拱的某阶频率接近索的某阶频率时,可导致索拱之间出现1∶1内共振,利用已建立的斜拉索拱非线性动力学耦合面内运动微分方程,采用Galerkin方法把斜拉索拱的面内运动方程进行离散,然后利用多尺度法对离散的运动方程进行摄动得到拱主共振情况下的平均方程,研究在拱受到外激励作用下拱振动对索振动产生的影响,同时对斜拉索拱内共振时的稳定、分叉及混沌情况进行了分析.结果表明:拱受到外激励产生共振后,通过索拱之间的内共振容易激发对柔性索的振动,导致索出现较大的幅值.能量在索拱之间相互传递,原本静止的索也可能出现共振,共振频域区间内索拱振动将出现跳跃、分叉及混沌等复杂的非线性动力学行为.

【Abstract】 The internal resonance of cable-stayed arch under external excitation on arch with one-to-one internal resonance was investigated.The frequency of the cables and the frequency of the arch were studied,resulting in a one-to-one internal resonance,The coupling nonlinear dynamic equations of the cable-stayed arch derived by using Hamilton principle were used.First,the Galerkin method was used to discrete the nonlinear equation of planar motion.Then,the method of multiple scales was applied to perturb the discrete equations of motion,and the averaged equation under the primary resonances of arch was obtained.The impact of the vibration of the arch over the vibration of cables under external excitation on the arch was studied,and the equilibrium solution,the period solution and chaotic solution of averaging equations were examined.Numerical calculation results have shown that,after the resonance of the arch appears under the external excitation,the resonance of cables is easily excited through the internal resonance between cables and arch,resulting in a larger amplitude of cables.The energy is transferred between the cables and the arch,and the cable-stayed arch show complicated nonlinearity dynamic behavior,such as leap,bifurcation and chaos within the resonance frequency region.

【基金】 国家自然科学基金资助项目(10772065);仲恺农业工程学院引进优秀人才基金项目(G2360273)
  • 【文献出处】 湖南大学学报(自然科学版) ,Journal of Hunan University(Natural Sciences) , 编辑部邮箱 ,2009年12期
  • 【分类号】U441.3
  • 【被引频次】3
  • 【下载频次】144
节点文献中: 

本文链接的文献网络图示:

本文的引文网络