A parametrically excited pendulum with irrational nonlinearity

2017 ◽  
Vol 88 ◽  
pp. 122-134 ◽  
Author(s):  
Ning Han ◽  
Qingjie Cao
Keyword(s):  
Parametrically Excited ◽  
Irrational Nonlinearity

scholarly journals Time-Delayed Nonlinear Integral Resonant Controller to Eliminate The nonlinear Oscillations of a Parametrically Excited System

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
N. A. Saeed ◽  
Galal M. Moatimid ◽  
Fawzy M. Elsabaa ◽  
Yomna. Y. Ellabban ◽  
S. K. Elagan ◽  
...  
Keyword(s):  
Nonlinear Oscillations ◽  
Parametrically Excited ◽  
Excited System ◽  
Resonant Controller

Observation of a standing kink cross wave parametrically excited

1991 ◽  
Vol 434 (1891) ◽  
pp. 435-440 ◽  
Keyword(s):  
Solitary Waves ◽  
Theoretical Explanation ◽  
Vertical Oscillation ◽  
Cylindrical Tank ◽  
Hyperbolic Tangent ◽  
Parametrically Excited ◽  
Short Side ◽  
Kink Wave ◽  
Forced Waves ◽  
Wave Properties

A layer of water in a cylindrical tank is known to be capable of sustaining standing solitary waves within a certain parametric domain when the tank is excited under vertical oscillation. A new mode of forced waves is discovered to exist in a different parametric domain for rectangular tanks with the wave sloshing across the short side of the tank and with its profile modulated by one or more hyperbolic-tangent, or kink-wave-like envelopes. A theoretical explanation for the kink wave properties is provided. Experiments were performed to confirm their existence.

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