Affiliation:
1. Lanzhou University of Technology
Abstract
the nonlinear bending problem of the shallow spherical shells with rectangular bottom was studied under the boundary condition of moved fixed-edges based on the nonlinear deformation foundational equations of shallow reticulated shells, the trigonometric series solution satisfies boundary condition of the deflection was derived first, the stress function was solved by substitution of the solution into the nonlinear compatibility equation, the nonlinear characteristic formula of the loads and the deflection was obtained by the energy equation, then the critical point was given. The critical load was given by the characteristic curves. The nonlinear characteristic formula in the paper can be reference by the engineering designers.
Publisher
Trans Tech Publications, Ltd.
Reference5 articles.
1. Zu-Yan Shen, Yang-ji Chen, Grid and Reticulated shells[M], Tongji Press, Shanghai: 1998. (In Chinese).
2. Xin-zhi Wang, Cong-xing Liang, Ming-jun Han, Kai-yuan Yeh, Gang Wang, Applied Mathematics and Mechanics, 2007, Vol. 28(2): 135-140. (In Chinese).
3. Xinzhi Wang, Yonggang Zhao, Kaiyuan Yeh, Applied Mathematics and Mechanics, 1998, 19(10 ) : 847-857. (In Chinese).
4. Xin-zhi Wang, Journal of Gansu University of Technology, 1980, l: 29-65. (In Chinese).
5. Xin-zhi Wang; Lin Li; Gang Wang; Xiao-mei Gu; Ping Qiu, Engineering Mechanics, 2008, 25(10): 76-79. (In Chinese).