Large-Amplitude Vibration of an Initially Stressed Thick Circular Plate

AIAA Journal ◽  
1983 ◽  
Vol 21 (9) ◽  
pp. 1317-1324 ◽  
Author(s):  
Lien-Wen Chen ◽  
Ji-Liang Doong
Keyword(s):  
Circular Plate ◽  
Large Amplitude ◽  
Thick Circular Plate ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration

Large Amplitude Vibration of a Circular Plate With Concentric Rigid Mass

1972 ◽  
Vol 39 (2) ◽  
pp. 577-583 ◽  
Author(s):  
D. C. Chiang ◽  
S. S. H. Chen
Keyword(s):  
Circular Plate ◽  
Large Amplitude ◽  
Small Amplitude ◽  
Natural Frequencies ◽  
Elliptic Functions ◽  
Amplitude Vibration ◽  
Rigid Mass ◽  
Large Amplitude Vibration ◽  
Large Amplitude Vibrations ◽  
Special Case

Simplified nonlinear governing differential equations proposed by Berger and extended by Nash and Modeer are applied to obtain natural frequencies of a circular plate with concentric rigid part at its center in large amplitude vibrations. A modified Galerkin technique is used to derive a nonlinear differential equation of which the solution is given in terms of elliptic functions. The small amplitude vibration is treated as a special case of large amplitude vibration, while the free, large amplitude vibration of a flat circular plate is studied as a special case of large amplitude vibration of a circular plate with a concentric mass. The numerical results show that the effect of added concentric rigid mass to a circular plate is significant.

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