微型压电层合板结构的振动特性研究
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

基金项目:

国家自然科学基金资助项目(11472019)


Vibration analysis ofthe micro piezoelectric laminated plate based on the strain gradient theory
Author:
Affiliation:

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    从经典薄板理论出发,基于应变梯度理论,综合考虑尺寸效应和压电效应的影响,利用哈密顿原理建立了微型压电层合板结构的动力学模型及其边界条件;在选取符合其边界条件的模态函数后,利用Ritz法分别研究四边简支和悬臂条件下的微型压电层合板的振动特性,求解了前五阶固有频率并绘制了3D模态图.分析了微尺度带来的尺寸效应对于固有频率的影响,最后研究了外加电压对于系统固有频率的影响.

    Abstract:

    The dynamic model of the micro laminated plates is developed with its boundary conditions through Hamilton's principle, based on the classical thin plate theory and taken into consideration of the size effect caused by the micro scale using the strain gradient theory. After choosing the proper mode functions for the boundary conditions of both simplesupport and cantilever, the first five orders of natural frequencies and the corresponding 3D mode shapes are achieved by the Ritz method, respectively. The effect of size effect on natural frequencies is studied. Eventually, the influence of the external voltage on the natural frequency is also examined.

    参考文献
    相似文献
    引证文献
引用本文

张霄峙,陈丽华,张伟.微型压电层合板结构的振动特性研究[J].动力学与控制学报,2016,14(5):429~437; Zhang Xiaozhi, Chen Lihua, Zhang Wei. Vibration analysis ofthe micro piezoelectric laminated plate based on the strain gradient theory[J]. Journal of Dynamics and Control,2016,14(5):429-437.

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:2015-04-29
  • 最后修改日期:2015-11-06
  • 录用日期:
  • 在线发布日期: 2016-10-20
  • 出版日期:

微信公众号二维码

手机版网站二维码