Axisymmetric dynamic problem for a nonuniform shallow spherical shell with finite shear stiffness

1994 ◽  
Vol 30 (9) ◽  
pp. 690-697
Author(s):  
Yu. �. Senitskii
Keyword(s):  
Spherical Shell ◽  
Dynamic Problem ◽  
Shear Stiffness ◽  
Shallow Spherical Shell ◽  
Finite Shear ◽  
Finite Shear Stiffness

Variational equations of the thermodiffusion of deformable thin shells with a finite shear stiffness

1983 ◽  
Vol 19 (2) ◽  
pp. 162-166
Author(s):  
R. N. Shvets ◽  
M. S. Ravrik
Keyword(s):  
Shear Stiffness ◽  
Thin Shells ◽  
Variational Equations ◽  
Finite Shear ◽  
Finite Shear Stiffness

On a solution of the dynamic problem of a shallow spherical shell

1966 ◽  
Vol 2 (3) ◽  
pp. 11-14 ◽  
Author(s):  
Yu. E. Senitskii
Keyword(s):  
Spherical Shell ◽  
Dynamic Problem ◽  
Shallow Spherical Shell

Study of free vibrations of flexible shells with finite shear stiffness

1995 ◽  
Vol 31 (4) ◽  
pp. 265-270
Author(s):  
V. A. Krys'ko ◽  
S. P. Pavlov ◽  
I. F. Sytnik
Keyword(s):  
Shear Stiffness ◽  
Free Vibrations ◽  
Finite Shear ◽  
Finite Shear Stiffness ◽  
Flexible Shells

Analysis of multilayered orthotropic shells of revolution with finite shear stiffness

1988 ◽  
Vol 24 (11) ◽  
pp. 1055-1059
Author(s):  
A. O. Rassakazov ◽  
V. S. Karpilovskii ◽  
V. I. Kosenko ◽  
N. G. Kharchenko
Keyword(s):  
Shear Stiffness ◽  
Shells Of Revolution ◽  
Finite Shear ◽  
Finite Shear Stiffness ◽  
Orthotropic Shells

Free oscillations of shells of complex geometry with finite shear stiffness

1993 ◽  
Vol 63 (3) ◽  
pp. 308-312
Author(s):  
M. F. Kopytko ◽  
Ya. G. Savula
Keyword(s):  
Complex Geometry ◽  
Shear Stiffness ◽  
Free Oscillations ◽  
Finite Shear ◽  
Finite Shear Stiffness

Analysis of shallow spherical shell with circular base under eccentrically applied concentrated loads

1981 ◽  
Vol 2 (6) ◽  
pp. 679-698 ◽  
Author(s):  
Pao Shih-hua ◽  
Long Yu-qiu
Keyword(s):  
Spherical Shell ◽  
Shallow Spherical Shell ◽  
Concentrated Loads ◽  
Circular Base

Zero Gravity Validation of Smart Aperture Antennas

1999 ◽  
Author(s):  
Hwan-Sik Yoon ◽  
Gregory Washington
Keyword(s):  
Spherical Shell ◽  
Analytical Model ◽  
Stress Function ◽  
Spherical Shape ◽  
Element Model ◽  
Shallow Spherical Shell ◽  
Zero Gravity ◽  
Governing Equations ◽  
Homogeneous Solutions ◽  
Calculated Stress

Abstract In this study, a smart aperture antenna of spherical shape is modeled and experimentally verified. The antenna is modeled as a shallow spherical shell with a small hole at the apex for mounting. Starting from five governing equations of the shallow spherical shell, two governing equations are derived in terms of a stress function and the axial deflection using Reissner’s approach. As actuators, four PZT strip actuators are attached along the meridians separated by 90 degrees respectively. The forces developed by the actuators are considered as distributed pressure loads on the shell surface instead of being applied as boundary conditions like previous studies. This new way of applying the actuation force necessitates solving for the particular solutions in addition to the homogeneous solutions for the governing equations. The amount of deflections is evaluated from the calculated stress function and the axial deflection. In addition to the analytical model, a finite element model is developed to verify the analytical model on the various surface positions of the reflector. Finally, an actual working model of the reflector is built and tested in a zero gravity environment, and the results of the theoretical model are verified by comparing them to the experimental data.

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