Buckling of Conical Shells under a Single Axial Load

2006 ◽  
pp. 133-144
Author(s):  
Chen Hao Chang
Keyword(s):  
Axial Load ◽  
Conical Shells

Buckling of Truncated Conical Shells Under Combined Axial Load, Pressure, and Heating

1985 ◽  
Vol 52 (2) ◽  
pp. 402-408 ◽  
Author(s):  
J. Tani
Keyword(s):  
Axial Load ◽  
Uniform Pressure ◽  
Uniform Heating ◽  
Buckling Mode ◽  
Load Pressure ◽  
Buckling Loads ◽  
Conical Shells ◽  
Shell Equations ◽  
The Difference ◽  
Interaction Curves

On the basis of the Donnell-type shell equations with the effect of nonlinear prebuckling deformations taken into consideration, a theoretical analysis is performed on the buckling of clamped truncated conical shells under two loads combined out of uniform pressure, axial load, and uniform heating. The problem is solved by a finite difference method. It is found that the interaction curves of buckling loads are changed remarkably by the difference in the shape of conical shells. This is due to the large nonlinear prebuckling deformation and the difference in the buckling mode between two cases of single load.

Free Vibration of Axially Loaded Laminated Conical Shells

1999 ◽  
Vol 66 (3) ◽  
pp. 758-763 ◽  
Author(s):  
L. Tong
Keyword(s):  
Free Vibration ◽  
Axial Load ◽  
Governing Equations ◽  
Load Effect ◽  
Critical Buckling Load ◽  
Conical Shells ◽  
Axial Tension ◽  
Axially Loaded ◽  
Constant Axial Load ◽  
Laminated Conical Shells

Analytical solutions for the three displacements are obtained, in the form of power series, directly from the three governing equations for free vibration of laminated conical shells under axial load. Numerical results are presented for free vibration of axially loaded laminated conical shells with different geometric parameters and under two types of boundary conditions. It is found that an axial tension increases the frequencies while an axial compression decreases the frequencies. For the shells studied, the effect of axial load on the lowest frequency of the shell is found to be not sensitive to change in semivertex angle when the applied axial load is kept as a constant fraction of the critical buckling load. However, the axial load effect becomes very sensitive to variation in semivertex angle when a constant axial load is applied.

Influence of Deformations Prior to Instability on the Dynamic Instability of Conical Shells Under Periodic Axial Load

1976 ◽  
Vol 43 (1) ◽  
pp. 87-91 ◽  
Author(s):  
J. Tani
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Axial Load ◽  
Basic Equation ◽  
Natural Frequencies ◽  
Dynamic Instability ◽  
Forced Vibrations ◽  
The Other ◽  
Conical Shells ◽  
Instability Regions

The dynamic instability of clamped, truncated conical shells under periodic axial load is studied using the Donnell-type basic equation and considering the effect of bending deformations before instability. Two principal instability regions are determined by combining Bolotin’s method and a finite-difference method. One of these belongs to double the natural frequencies of asymmetrical vibration; the other corresponds to the resonance of symmetrically forced vibrations. The effects of static axial load and end-plate mass on the principal instability regions are also investigated.

Effect of Axial Load on Free Vibration of Orthotropic Truncated Conical Shells

1996 ◽  
Vol 118 (2) ◽  
pp. 164-168 ◽  
Author(s):  
L. Tong
Keyword(s):  
Axial Load ◽  
Compressive Load ◽  
Free Vibrations ◽  
Governing Equations ◽  
Conical Shells ◽  
Material Parameters ◽  
Axial Tension ◽  
Wave Numbers ◽  
Axially Loaded ◽  
Circumferential Wave

An analytical solution in the form of a power series is obtained for the three governing equations of free vibrations of axially loaded orthotropic conical shells. Numerical results are presented for the frequency parameters and the associated circumferential wave numbers of the axially loaded shells with different geometric and material parameters and under two types of boundary conditions. It is noted that the axially compressive load decreases the frequency parameters while the axial tension load increases the frequency parameters.

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