Vibrations of a Shallow Spherical Shell on a Kerr Foundation

1994 ◽  
Vol 116 (1) ◽  
pp. 47-52 ◽  
Author(s):  
D. N. Paliwal ◽  
R. Srivastava
Keyword(s):  
Spherical Shell ◽  
Elastic Foundation ◽  
Elastic Properties ◽  
Parametric Study ◽  
Large Amplitude ◽  
Free Vibrations ◽  
Shallow Spherical Shell ◽  
Foundation Model ◽  
Foundation Parameters ◽  
Clamped Edges

Large amplitude free vibrations of a clamped shallow spherical shell on a Kerr-type elastic foundation model are investigated. A detailed parametric study is conducted involving geometric and elastic properties of the shell as well as representative foundation parameters. Influence of these variables on the relation between the nondimensional frequency and amplitude are discussed. Shells with immovably clamped edges are more vulnerable to the changes in the above-referred parameters than those with movable clamped edges.

Large Amplitude Free Vibration of Shallow Spherical Shell on a Pasternak Foundation

1993 ◽  
Vol 115 (1) ◽  
pp. 70-74 ◽  
Author(s):  
D. N. Paliwal ◽  
V. Bhalla
Keyword(s):  
Free Vibration ◽  
Spherical Shell ◽  
Large Amplitude ◽  
Free Vibrations ◽  
Numerical Results ◽  
Shallow Spherical Shell ◽  
Pasternak Foundation ◽  
New Approach ◽  
Foundation Parameters ◽  
Clamped Edges

Large amplitude free vibrations of a clamped shallow spherical shell on a Pasternak foundation are studied using a new approach by Banerjee, Datta, and Sinharay. Numerical results are obtained for movable as well as immovable clamped edges. The effects of geometric, material, and foundation parameters on relation between nondimensional frequency and amplitude have been investigated and plotted.

Orthotropic Shallow Spherical Shell on a Kerr Foundation

1997 ◽  
Vol 119 (1) ◽  
pp. 131-133
Author(s):  
D. N. Paliwal ◽  
H. Kanagasabapathy ◽  
K. M. Gupta
Keyword(s):  
Spherical Shell ◽  
Shear Layer ◽  
Parametric Study ◽  
Shallow Spherical Shell ◽  
Static Behavior ◽  
Nonlinear Static ◽  
Foundation Parameters ◽  
Shell Geometry

Parametric study involving foundation parameters and shell geometry is carried out for nonlinear static behavior of an orthotropic shallow spherical shell on a Kerr foundation. Study shows that the deflection reduces if the shell curvature or the foundation parameters of the shear layer and the lower spring layer are increased. Shells with immovable edges are found to be more prone and vulnerable to changes in various parameters than those with movable edges.

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