Non-linear dynamic stability analysis of single-layer conical lattice shells

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	Non-linear dynamic stability analysis of single-layer conical lattice shells
	Wang, Xin-Zhi; Liang, Cong-Xing; X.-X., Ding; M.-J., Han; Y.-G., Zhao
刊名	Gongcheng Lixue/Engineering Mechanics
	2005-06-01
卷号	22 期号:SUPPL.页码:172-176
关键词	Chaos theory Differential equations Dynamics Galerkin methods Nonlinear equations Critical condition Dynamic characteristic Lattice shells Melnikov function Method of simulated shell
ISSN号	10004750
英文摘要	Using the method of simulated shell, non-linear dynamic differential equation of three-dimensional single-layer shallow lattice shell with equilateral triangle mesh is established. The lateral displacement of lattice shell is obtained by separation of variables for fixed boundary condition. The stretching force is obtained from the compatibility equation. A non-linear differential equation with quadratic and cubic terms is established by Galerkin method. The system has three equilibrium points on the condition that external excitation is ignored. Stability close to the null equilibrium point is discussed by the Floquet exponent. In order to study the chaos motion, non-linear free vibration equation of this dynamic system is solved with the given initial conditions. An accurate solution of the non-linear free vibration system is obtained. This makes Melnikov founction obtainable. Melnikov founction is obtained by theory of residuals, and the critical condition is also obtained. Numerial-graphic method and Poincare map confirm the existence of chaos.
语种	中文
出版者	Tsinghua University
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/112257]
专题	兰州理工大学
作者单位	School of Sciences, Lanzhou University of Technology, Lanzhou 730050, China
推荐引用方式 GB/T 7714	Wang, Xin-Zhi,Liang, Cong-Xing,X.-X., Ding,et al. Non-linear dynamic stability analysis of single-layer conical lattice shells[J]. Gongcheng Lixue/Engineering Mechanics,2005,22(SUPPL.):172-176.
APA	Wang, Xin-Zhi,Liang, Cong-Xing,X.-X., Ding,M.-J., Han,&Y.-G., Zhao.(2005).Non-linear dynamic stability analysis of single-layer conical lattice shells.Gongcheng Lixue/Engineering Mechanics,22(SUPPL.),172-176.
MLA	Wang, Xin-Zhi,et al."Non-linear dynamic stability analysis of single-layer conical lattice shells".Gongcheng Lixue/Engineering Mechanics 22.SUPPL.(2005):172-176.