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Single-pulse chaotic dynamics of functionally graded materials plate
  • ISSN号：0567-7718
  • 期刊名称：Acta Mechanica Sinica
  • 时间：2013
  • 页码：593-601
  • 分类：O415.5[理学—理论物理;理学—物理] TB34[一般工业技术—材料科学与工程]
  • 作者机构：[1]College of Mathematics and Information Science,Henan Polytechnic University, 454000 Jiaozuo, China, [2]Department of Mathematics,Nanjing University of Aeronautics and Astronautics,210016 Nanjing, China
  • 相关基金：The project was supported by the National Natural Science Foun- dation of China （11172125, 11202095 and 11201226）, and Natu- ral Science Foundation of Henan, China （2009B 110009, B2008-56 and 649106）.
  • 相关项目：高维非线性气动弹性系统动力学及其在高超声速巡航飞行器中的应用
作者： 皇甫玉高|陈芳启|
关键词： 功能梯度材料, 混沌动力学, 单脉冲, 矩形板, 同宿轨道, 测试分析, 数值模拟, 混沌运动, Functionally graded materials ~ Single-pulse ~Melnikov＇s method ~ Homoclinic orbit ~ Numerical simula-tion
中文摘要：

单个脉搏的混乱被学习为一机能上地分级的材料矩形的板。借助于全球不安方法，为一条 Silnikov 类型 homoclinic 轨道的存在的明确的条件为这个系统被获得，它建议混乱是可能的发生。然后，数字模拟被给测试分析预言。并且当混乱运动发生时，从我们的分析，在另一二维的增补 subspace 在二维的 subspace 和混乱有一个伪时期运动。

英文摘要：

Single-pulse chaos are studied for a functionally graded materials rectangular plate. By means of the global perturbation method, explicit conditions for the existence of a SiZnikov-type homoclinic orbit are obtained for this sys- tem, which suggests that chaos are likely to take place. Then, numerical simulations are given to test the analytical predic- tions. And from our analysis, when the chaotic motion oc- curs, there are a quasi-period motion in a two-dimensional subspace and chaos in another two-dimensional supplemen- tary subspace.

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期刊信息
  • 《力学学报：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会 中国科学院力学研究所
  • 主编：卢天健
  • 地址：北京市海淀区北四环西路15号
  • 邮编：100190
  • 邮箱：actams@cstam.org.cn
  • 电话：010-62536271
  • 国际标准刊号：ISSN：0567-7718
  • 国内统一刊号：ISSN：11-2063/O3
  • 邮发代号:2-703
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:352