Nonlinear dynamic stability of the shallow thin spherical shells under large deflection

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	Nonlinear dynamic stability of the shallow thin spherical shells under large deflection
	Wang, Xin-Zhi 2; Li, Lin 2; Wang, Gang 1; Gu, Xiao-Mei 2; Qiu, Ping 2
刊名	Gongcheng Lixue/Engineering Mechanics
	2008-10-01
卷号	25 期号:10 页码:76-79+85
关键词	Bifurcation (mathematics) Boundary conditions Control nonlinearities Convergence of numerical methods Deflection (structures) Iterative methods Shells (structures) Spheres Dynamic potential Large deflection Modified iteration method Non-linear dynamic equations Nonlinear dynamic theories Nonlinearity Quadratic approximation Systems of equations
ISSN号	10004750
英文摘要	Based on nonlinear dynamic theory of thin shells and the basic large deflection equations of the shallow reticulated spherical thin shells, regarding large deflection as the initial deflection, the basic nonlinear dynamic equations are established by using the modified iteration method to obtain the analytical solution of quadratic approximation under the boundary conditions of clamped edges. The tension is obtained according to the displacement model that satisfies the same boundary conditions. The equation of the balanced surface is obtained by set the first variation of the dynamic potential to be zero. Then, the systems of equations of the corresponding bifurcation point set are given in terms of catastrophic theory and the whole stability of the shallow thin spherical shells is discussed. In addition, the sketch map of the corresponding bifurcation point set of the balanced surface is also given in this paper.
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/111793]
专题	兰州理工大学
作者单位	1.Design Art Academy, Lanzhou University of Technology, Lanzhou 730050, China 2.School of Science, Lanzhou University of Technology, Lanzhou 730050, China;
推荐引用方式 GB/T 7714	Wang, Xin-Zhi,Li, Lin,Wang, Gang,et al. Nonlinear dynamic stability of the shallow thin spherical shells under large deflection[J]. Gongcheng Lixue/Engineering Mechanics,2008,25(10):76-79+85.
APA	Wang, Xin-Zhi,Li, Lin,Wang, Gang,Gu, Xiao-Mei,&Qiu, Ping.(2008).Nonlinear dynamic stability of the shallow thin spherical shells under large deflection.Gongcheng Lixue/Engineering Mechanics,25(10),76-79+85.
MLA	Wang, Xin-Zhi,et al."Nonlinear dynamic stability of the shallow thin spherical shells under large deflection".Gongcheng Lixue/Engineering Mechanics 25.10(2008):76-79+85.