Construction of the general solution of a nonaxisymmetric dynamical problem for a shallow spherical shell with a finite shear rigidity

1989 ◽  
Vol 25 (7) ◽  
pp. 680-688
Author(s):  
Yu. �. Senitskii
Keyword(s):  
General Solution ◽  
Spherical Shell ◽  
Dynamical Problem ◽  
Shallow Spherical Shell ◽  
Shear Rigidity ◽  
Finite Shear

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.

Representation of the general solution of the equations of equilibrium of a layered spherical shell

1986 ◽  
Vol 22 (9) ◽  
pp. 845-852
Author(s):  
I. Yu. Khoma ◽  
Z. A. Medvedeva
Keyword(s):  
General Solution ◽  
Spherical Shell

Real-time feedforward control of low-frequency interior noise using shallow spherical shell piezoceramic actuators

1999 ◽  
Vol 8 (5) ◽  
pp. 579-584 ◽  
Author(s):  
V Jayachandran ◽  
Patrick King ◽  
Nancy E Meyer ◽  
Florence J Li ◽  
Maria Petrova ◽  
...  
Keyword(s):  
Spherical Shell ◽  
Real Time ◽  
Feedforward Control ◽  
Low Frequency ◽  
Interior Noise ◽  
Shallow Spherical Shell
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