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考虑尺度效应的夹层楔形多孔梁动力学分析

蒲刚 章定国 黎亮

蒲刚, 章定国, 黎亮. 考虑尺度效应的夹层楔形多孔梁动力学分析[J]. 力学学报, 2019, 51(6): 1882-1896. doi: 10.6052/0459-1879-19-164
引用本文: 蒲刚, 章定国, 黎亮. 考虑尺度效应的夹层楔形多孔梁动力学分析[J]. 力学学报, 2019, 51(6): 1882-1896. doi: 10.6052/0459-1879-19-164
Pu Gang, Zhang Dingguo, Li Liang. DYNAMIC ANALYSIS OF SANDWICH TAPERED POROUS MICRO-BEAMS CONSIDERING SIZE EFFECT[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 1882-1896. doi: 10.6052/0459-1879-19-164
Citation: Pu Gang, Zhang Dingguo, Li Liang. DYNAMIC ANALYSIS OF SANDWICH TAPERED POROUS MICRO-BEAMS CONSIDERING SIZE EFFECT[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 1882-1896. doi: 10.6052/0459-1879-19-164

考虑尺度效应的夹层楔形多孔梁动力学分析

doi: 10.6052/0459-1879-19-164
基金项目: 1) 国家自然科学基金项目(11772158);1) 国家自然科学基金项目(11502113);中央高校基本科研业务费专项资金资助(30917011103)
详细信息
    通讯作者:

    章定国

  • 中图分类号: O313

DYNAMIC ANALYSIS OF SANDWICH TAPERED POROUS MICRO-BEAMS CONSIDERING SIZE EFFECT

  • 摘要: 基于修正偶应力理论, 研究了具有大范围旋转中心刚体-功能梯度夹层Euler-Bernoulli楔形多孔柔性微梁系统的动力学特性.楔形梁是中间层为不完全功能梯度层, 两表层为均质材料的功能梯度夹层结构, 它可以减小传统夹层结构由于层与层之间材料属性的不同导致脱粘类型损伤的影响.采用假设模态法描述变形, 考虑具有捕捉动力刚化效应的非线性耦合项, 计及von Kármán几何非线性应变, 运用第二类Lagrange方程, 导出了适用于较大变形的高次刚柔耦合动力学方程.对在平面内做大范围运动的中心刚体-功能梯度夹层Euler-Bernoulli楔形多孔微梁的动力学特性进行了详细研究.研究表明: 功能梯度夹层楔形梁表层结构高度、旋转角速度、功能梯度幂指数、尺度参数、孔隙度以及各层结构的体积分数对系统的动力学特性都有很大的影响; 功能梯度夹层楔形梁综合了功能梯度直梁和楔形梁的特性, 其相对于功能梯度直梁的固有频率增大, 同时使得孔隙度对结构固有频率变化趋势的影响不再与功能梯度直梁相同; 由于柔性梁变形能中具有横向与轴向的耦合势能, 系统在稳态下的平衡位置发生了迁移现象; 系统随着尺度参数的变化发生了频率转向与振型转换.

     

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出版历程
  • 收稿日期:  2019-06-25
  • 刊出日期:  2019-11-18

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