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

	Nonlinear dynamic stability of the shallow thin spherical shells under large deflection
	Wang, Xin-Zhi 1; Li, Lin 1; Wang, Gang 2; Gu, Xiao-Mei 1; Qiu, Ping 1
	2008-10-01
发表期刊	Gongcheng Lixue/Engineering Mechanics
ISSN	10004750
卷号	25 期号:10 页码:76-79+85
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.
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
收录类别	EI
语种	中文
出版者	Tsinghua University
EI入藏号	20084611708149
EI主题词	Nonlinear equations
EI分类号	408.2 Structural Members and Shapes - 731.1 Control Systems - 921.6 Numerical Methods
来源库	Compendex
分类代码	408.2 Structural Members and Shapes - 731.1 Control Systems - 921.6 Numerical Methods
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/111793
专题	兰州理工大学
作者单位	1.School of Science, Lanzhou University of Technology, Lanzhou 730050, China; 2.Design Art Academy, Lanzhou University of Technology, Lanzhou 730050, China
第一作者单位	兰州理工大学
第一作者的第一单位	兰州理工大学
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.