Axisymmetric Nonlinear Stability of a Shallow Conical Shell with a Spherical Cap of Arbitrary Variable Shell Thickness

2006 ◽  
Vol 132 (10) ◽  
pp. 1146-1149 ◽  
Author(s):  
Chao-Sheng Hou ◽  
Yue Yin ◽  
Cheng-Bo Wang
Keyword(s):  
Nonlinear Stability ◽  
Conical Shell ◽  
Shell Thickness ◽  
Spherical Cap ◽  
Shallow Conical Shell

Free Vibration of a Fluid Loaded Ring-Stiffened Conical Shell With Variable Thickness

2014 ◽  
Vol 136 (5) ◽  
Author(s):  
Ming Liu ◽  
Jun Liu ◽  
Yuansheng Cheng
Keyword(s):  
Free Vibration ◽  
Variable Thickness ◽  
Conical Shell ◽  
Shell Thickness ◽  
Low Frequency ◽  
Element Model ◽  
Governing Equations ◽  
Equivalent Method ◽  
The Finite Element Model ◽  
Good Agreement

An analytical method is presented for the free vibration of a fluid loaded (submerged) ring-stiffened conical shell with variable thickness in the low frequency range. Based on the Flügge theory and equivalent method of ring-stiffeners, the governing equations of vibration of a ring-stiffened conical shell are developed in the form of a coupled set of the first order differential equations. Fluid loading is taken into account by dividing the shell into narrow strips which are considered to be locally cylindrical. Analytical solutions are presented by using the transfer matrix method, which is suitable for structures broken into a sequence of subsystems that interact only with adjacent subsystems. By comparing the results from the present method and the finite element model, good agreement are obtained. The effects of the spacing of the stiffeners, the shell thickness, the shell thickness ratio, the ring's height, and the boundary conditions on the natural frequencies of the fluid loaded ring-stiffened conical shell with variable thickness are discussed.

Stresses around a circular hole in a shallow conical shell

1968 ◽  
Vol 4 (10) ◽  
pp. 993-1011 ◽  
Author(s):  
B.Basava Raju ◽  
M.V.V. Murthy ◽  
Ramesh Chandra
Keyword(s):  
Circular Hole ◽  
Conical Shell ◽  
Shallow Conical Shell

Dynamic Axisymmetric Buckling of Shallow Conical Shells Subjected to Impulsive Loads

1965 ◽  
Vol 32 (1) ◽  
pp. 129-134 ◽  
Author(s):  
R. E. Fulton
Keyword(s):  
Conical Shell ◽  
Strain Energy ◽  
Maximum Displacement ◽  
Spherical Cap ◽  
Single Degree Of Freedom ◽  
Conical Shells ◽  
Simply Supported ◽  
Single Degree ◽  
Impulsive Loads ◽  
Axisymmetric Buckling

A theoretical investigation is made of the axisymmetric snap-through buckling of a shallow conical shell subjected to an idealized impulse applied uniformly over the surface of the shell. The shell is assumed to behave as a single-degree-of-freedom system, and a study is made of the strain energy at maximum displacement: i.e., zero velocity. Under certain conditions this equilibrium position becomes unstable and the shell can snap through (or buckle). Nonlinear strain displacement equations are used and solutions are obtained for clamped and simply supported boundaries at the edge of the shell. Results for the cone are compared with similar results for a shallow spherical cap having the same rise as the cone. This comparison indicates that the spherical shell can resist a larger impulse than the conical shell before buckling.

Nonlinear Dynamic Buckling for Truncated Sandwich Shallow Conical Shell Structure Subjected to Pulse Impact

2012 ◽  
Vol 252 ◽  
pp. 93-97 ◽  
Author(s):  
Ming Qiao Tang ◽  
Jia Chu Xu
Keyword(s):  
Shell Structure ◽  
Conical Shell ◽  
Nonlinear Dynamic ◽  
Dynamic Buckling ◽  
Physical Parameters ◽  
Kutta Method ◽  
Spherical Shells ◽  
Nonlinear Dynamic Response ◽  
Shallow Conical Shell ◽  
Runge Kutta Method

Nonlinear dynamic buckling for sandwich shallow conical shell structure under uniform triangular pulse is investigated. Based on the Reissner’s assumption and Hamiton’s principle, the nonlinear dynamic governing equation of sandwich shallow spherical shells is derived. The corresponding nonlinear dynamic response equations are obtained by Galerkin method and solved by Runge-Kutta method. Budiansky-Roth criterion expressed by displacements of rigid center is employed to determine the critical impact bucking load. The effects of geometric parameters and physical parameters on impact buckling are discussed.

Crushing analysis of rotationally symmetric plastic shells

1982 ◽  
Vol 17 (4) ◽  
pp. 229-236 ◽  
Author(s):  
J G De Oliveira ◽  
T Wierzbicki
Keyword(s):  
Spherical Shell ◽  
Closed Form ◽  
Conical Shell ◽  
Point Load ◽  
Large Deflections ◽  
Uniform Pressure ◽  
Spherical Cap ◽  
Closed Form Solutions ◽  
General Methodology ◽  
Rotationally Symmetric

The crushing analysis of rotationally symmetric plastic shells undergoing very large deflections is presented. A general methodology is developed and simple closed-form solutions are derived for the case of a conical shell, a spherical shell under point load, a spherical shell crushed between rigid plates and under boss loading, and a spherical cap under external uniform pressure.

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