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哈密顿体系下功能梯度压电板/管静动力三维解

代海涛 程伟 李明志

代海涛, 程伟, 李明志等 . 哈密顿体系下功能梯度压电板/管静动力三维解[J]. 北京航空航天大学学报, 2008, 34(01): 104-107.
引用本文: 代海涛, 程伟, 李明志等 . 哈密顿体系下功能梯度压电板/管静动力三维解[J]. 北京航空航天大学学报, 2008, 34(01): 104-107.
Dai Haitao, Cheng Wei, Li Mingzhiet al. 3D solutions for static/vibration of FGPM plate/pipe in Hamiltonian system[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(01): 104-107. (in Chinese)
Citation: Dai Haitao, Cheng Wei, Li Mingzhiet al. 3D solutions for static/vibration of FGPM plate/pipe in Hamiltonian system[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(01): 104-107. (in Chinese)

哈密顿体系下功能梯度压电板/管静动力三维解

详细信息
    作者简介:

    代海涛(1979-),男,湖北天门人,博士生,daiht@126.com.

  • 中图分类号: O 325

3D solutions for static/vibration of FGPM plate/pipe in Hamiltonian system

  • 摘要: 根据哈密顿原理建立了三维压电动力学耦合系统的哈密顿对偶体系,将经典的弹性力学一类变量问题转化为二类变量,并建立了哈密顿正则方程组.分别在不同坐标系下研究了功能梯度压电材料FGPM(Functionally Graded Piezoelectric Material)四边简支板及两端简支管的静动力学特性,通过辛算法进行了数值分析.结果表明,在哈密顿对偶体系中能够求解复杂FGPM结构机电耦合静动力学问题;在FGPM多层板/管结构中,面外变量在厚度方向连续分布,而面内变量在材料分界面处存在突变现象.

     

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出版历程
  • 收稿日期:  2007-01-08
  • 网络出版日期:  2008-01-31

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