Large‐amplitude vibrations of elastically restrained circular plates

1974 ◽  
Vol 55 (4) ◽  
pp. 880-882 ◽  
Author(s):  
J. Ramachandran
Keyword(s):  
Large Amplitude ◽  
Circular Plates ◽  
Large Amplitude Vibrations ◽  
Elastically Restrained

Solution for large amplitude vibrations of circular plates via modified Berger's approximation

2012 ◽  
Vol 5 (1) ◽  
pp. 56-61
Author(s):  
G. Venkateswara Rao ◽  
G. Konda Reddy ◽  
R. Ramagopal Varma ◽  
V.V. Subba Rao
Keyword(s):  
Large Amplitude ◽  
Circular Plates ◽  
Large Amplitude Vibrations

scholarly journals Thermally Induced Principal Parametric Resonance in Circular Plates

2002 ◽  
Vol 9 (3) ◽  
pp. 143-150 ◽  
Author(s):  
Ali H. Nayfeh ◽  
Waleed Faris
Keyword(s):  
Parametric Resonance ◽  
Large Amplitude ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Temperature Fields ◽  
Circular Plates ◽  
Thermally Induced ◽  
Principal Parametric Resonance ◽  
Large Amplitude Vibrations ◽  
External Heat Flux

We consider the problem of large-amplitude vibrations of a simply supported circular flat plate subjected to harmonically varying temperature fields arising from an external heat flux (aeroheating for example). The plate is modeled using the von Karman equations. We used the method of multiple scales to determine an approximate solution for the case in which the frequency of the thermal variations is approximately twice the fundamental natural frequency of the plate; that is, the case of principal parametric resonance. The results show that such thermal loads produce large-amplitude vibrations, with associated multi-valued responses and subcritical instabilities.

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