Nonlinear dynamical behavior of shallow cylindrical reticulated shells

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• 作者：Xin-zhi Wang ; Cong-xing Liang ; Ming-jun Han ; Kai-yuan Yeh and Gang Wang
• 关键词：reticulated shells ; method of quasi ; shells ; chaotic motion ; critical condition
• 刊名：Applied Mathematics and Mechanics
• 出版年：2007
• 出版时间：February, 2007
• 年：2007
• 卷：28
• 期：2
• 页码：151-156
• 全文大小：404 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mechanics
  Mathematical Modeling and IndustrialMathematics
  Chinese Library of Science
  
• 出版者：Shanghai University, in co-publication with Springer
• ISSN：1573-2754

文摘

By using the method of quasi-shells, the nonlinear dynamic equations of three-dimensional single-layer shallow cylindrical reticulated shells with equilateral triangle cell are founded. By using the method of the separating variable function, the transverse displacement of the shallow cylindrical reticulated shells is given under the conditions of two edges simple support. The tensile force is solved out from the compatible equations, a nonlinear dynamic differential equation containing second and third order is derived by using the method of Galerkin. The stability near the equilibrium point is discussed by solving the Floquet exponent and the critical condition is obtained by using Melnikov function. The existence of the chaotic motion of the single-layer shallow cylindrical reticulated shell is approved by using the digital simulation method and Poincaré mapping.