Theoretical and Experimental Investigation of the Nonlinear Vibration of a Buckled Beam to a Subharmonic Resonance

2003 ◽  
Author(s):  
Samir Emam ◽  
Ali Nayfeh
Keyword(s):  
Experimental Investigation ◽  
Nonlinear Vibration ◽  
Subharmonic Resonance ◽  
Buckled Beam

An Experimental Investigation of the Coagulation of Aerosol in a Tube in the Vicinity of Subharmonic Resonance

2004 ◽  
Vol 42 (5) ◽  
pp. 794-802 ◽  
Author(s):  
D. A. Gubaidullin ◽  
R. G. Zaripov ◽  
R. G. Galiullin ◽  
E. R. Galiullina ◽  
L. A. Tkachenko
Keyword(s):  
Experimental Investigation ◽  
Subharmonic Resonance

1/3 Subharmonic Resonance of the Electro-Conductive Beam in Thermal-Magneto-Elasticity Field

2012 ◽  
Vol 466-467 ◽  
pp. 814-818 ◽  
Author(s):  
Xiao Yan Xi ◽  
Zhian Yang ◽  
Gao Feng Li
Keyword(s):  
Numerical Analysis ◽  
Nonlinear Vibration ◽  
Nonlinear Vibrations ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Subharmonic Resonance ◽  
Bending Vibration ◽  
Approximation Solution ◽  
Vibration Equation ◽  
System Parameters

Based on the electro-magneto-elastic theory and the theory of the bending vibration of the electric beam, nonlinear vibration equation of current-carrying beam in thermal-magneto-elasticity field is studied. The Lorentz force and thermal force on the beam are derived. According to the method of multiple scales for nonlinear vibrations the approximation solution of 1/3 subharmonic resonance of the system is obtained. Numerical analysis results show that the amplitude changed with the system parameters.

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