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亚音速气流中复合材料悬臂板的非线性振动响应研究

刘艮 张伟

刘艮, 张伟. 亚音速气流中复合材料悬臂板的非线性振动响应研究[J]. 力学学报, 2019, 51(3): 912-921. doi: 10.6052/0459-1879-18-336
引用本文: 刘艮, 张伟. 亚音速气流中复合材料悬臂板的非线性振动响应研究[J]. 力学学报, 2019, 51(3): 912-921. doi: 10.6052/0459-1879-18-336
Gen Liu, Wei Zhang. NONLINEAR VIBRATIONS OF COMPOSITE CANTILEVER PLATE IN SUBSONIC AIR FLOW[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(3): 912-921. doi: 10.6052/0459-1879-18-336
Citation: Gen Liu, Wei Zhang. NONLINEAR VIBRATIONS OF COMPOSITE CANTILEVER PLATE IN SUBSONIC AIR FLOW[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(3): 912-921. doi: 10.6052/0459-1879-18-336

亚音速气流中复合材料悬臂板的非线性振动响应研究

doi: 10.6052/0459-1879-18-336
基金项目: 1) 国家自然科学基金资助项目(11832002).
详细信息
    通讯作者:

    张伟

  • 中图分类号: O322;

NONLINEAR VIBRATIONS OF COMPOSITE CANTILEVER PLATE IN SUBSONIC AIR FLOW

  • 摘要: 随着材料科学的发展,越来越多的新型材料应用到了工程实践中.在气流激励的作用下,对于以航空航天工程为背景、采用复合材料的板壳结构的非线性动力学问题仍是动力学领域的研究热点.本文研究了复合材料悬臂板在亚音速气流条件下的非线性振动和响应.根据理想不可压缩流体的流动条件和 Kutta--Joukowski升力定理,基于升力面理论,利用涡格法计算了三维有限长平板机翼上的亚音速气动升力.将亚音速气动力施加到复合材料悬臂板上,利用Hamilton原理,考虑Reddy三阶剪切变形理论并引入冯$\cdot$卡门非线性应变位移关系,建立了有限长平板的非线性动力学微分方程.利用有限元方法考察了不同几何参数下层合板悬臂板的固有特性,通过比较不同材料和几何参数的线性系统的固有频率,得到不同比例的内共振关系.利用Galerkin方法将偏微分方程截断为两自由度非线性常微分方程,在这里考虑了1:2的内部共振关系并利用多尺度法进行了摄动分析.对应多个选取参数,得到了频率响应曲线.结果展示了硬化弹簧型行为和跳跃现象.

     

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出版历程
  • 收稿日期:  2018-10-15
  • 刊出日期:  2019-05-18

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