Analysis of natural vibrations of a spherical shell with variable thickness

1989 ◽  
Vol 86 (5) ◽  
pp. 1864-1875 ◽  
Author(s):  
Tsukasa Hirai ◽  
Michio Kuroda
Keyword(s):  
Spherical Shell ◽  
Variable Thickness ◽  
Natural Vibrations

Elastic-plastic state of a variable thickness spherical shell with a reinforced central hole

1970 ◽  
Vol 6 (5) ◽  
pp. 551-553 ◽  
Author(s):  
V. S. Babyak ◽  
A. G. Makarenkov ◽  
I. S. Chernyshenko
Keyword(s):  
Spherical Shell ◽  
Variable Thickness ◽  
Central Hole ◽  
Plastic State ◽  
Elastic Plastic

Some Remarks on Spherical Shells

1965 ◽  
Vol 32 (1) ◽  
pp. 121-128
Author(s):  
C. N. DeSilva ◽  
H. Cohen
Keyword(s):  
Asymptotic Solution ◽  
Spherical Shell ◽  
Variable Thickness ◽  
Transverse Shear ◽  
Correction Term ◽  
Transverse Shear Deformation ◽  
Governing Equations ◽  
Spherical Shells ◽  
Annular Disk ◽  
Thickness Function

The present paper treats the deformation of a spherical shell within the framework of a linear bending theory which includes the effect of transverse-shear deformation. A two-term asymptotic solution of the governing equations is obtained which embraces all terms of an order retained in the formulation of the theory. The solution is valid within a physically important domain of the shell and reduces to the previously known one-term asymptotic solution of the classical bending theory. The problem of variable thickness is also discussed. The behavior of the thickness function may be such as to require in the solution a correction term which may contribute significantly to the deformation. This solution is applied to a treatment of the deformation of a rotating, completely closed spherical shell stiffened by an annular disk located normal to the axis of the spin.

Natural vibrations of thin conical panels of variable thickness

2009 ◽  
Vol 45 (11) ◽  
pp. 1221-1231 ◽  
Author(s):  
A. Ya. Grigorenko ◽  
S. A. Mal’tsev
Keyword(s):  
Variable Thickness ◽  
Natural Vibrations
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