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Double Hopf bifurcation of composite laminated piezoelectric plate subjected to external and internal excitations
  • ISSN号：0253-4827
  • 期刊名称：《应用数学和力学：英文版》
  • 时间：0
  • 分类：O32[理学—一般力学与力学基础;理学—力学]
  • 作者机构：内蒙古师范大学数学科学学院,内蒙古呼和浩特010022
  • 相关基金：国家自然科学基金资助项目（11402127）;内蒙古师范大学基金项目（2013ZRYB17）
作者： Yan ZHOU[1], Wei ZHANG[2]
关键词： 局部分叉, 薄板, 定常解, 周期解, local bifurcation, thin plate, stationary solution, periodic solution
中文摘要：

分析了一类薄板系统的局部分叉以及双Hopf分叉等问题.选取一类受到参数激励和外激励共同作用的薄板作为研究模型,在其非线性动力学方程的基础之上,通过多尺度法进行计算,得到这类薄板系统在直角坐标系和极坐标系下的两种平均方程;通过数值约化取得薄板系统对应的分叉响应方程,借助非线性动力系统中的奇点分析理论研究了分叉响应方程的复杂分叉现象;通过对薄板系统存在的不同定常解的分析,获得薄板系统在选定参数平面上的局部分叉集.

英文摘要：

The local bifurcation of a thin plate is studied, which being under the combined actions of parametric excitation and external excitation. Using the multiple scales method, two types of equations in different coordinates and the bifurcation response equation are got about the thin plate. Using the theory of singularity, the characteristic of the bifurcation equation is achieved. In the end of the paper, the local bifurcation set of the above system in the parameter plane is obtained.

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期刊信息
  • 《应用数学和力学：英文版》
  • 主管单位:交通部
  • 主办单位:上海大学
  • 主编：周哲玮
  • 地址：上海市宝山区上大路99号上海大学122信箱
  • 邮编：200444
  • 邮箱：amm@department.shu.edu.cn
  • 电话：021-66135219 66165601
  • 国际标准刊号：ISSN：0253-4827
  • 国内统一刊号：ISSN：31-1650/O1
  • 邮发代号:
  • 获奖情况:
  • 上海市优秀科技期刊一等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
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  • 被引量:541