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

Xiao Yan Xi; Zhian Yang; Gao Feng Li

doi:10.4028/www.scientific.net/AMR.466-467.814

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 466-4671/3 Subharmonic Resonance of the...

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

Abstract:

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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Periodical:

Advanced Materials Research (Volumes 466-467)

Pages:

814-818

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.466-467.814

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Online since:

February 2012

Authors:

Xiao Yan Xi, Zhian Yang, Gao Feng Li

Keywords:

1/3 Subharmonic Resonance, Current-Carrying Beam, Lorentz Force, Method of Multiple Scales, Thermal-Magneto-Elasticity

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References

[1] Wu Xiao, YangLijun, Li Dazhi, Analysis of The Natural Lateral Vibration of Beam Carrying Electric Current in Magnetic field, Journal of dynamics and control, vol3, pp.71-75. (2005).

Google Scholar

[2] YANG Zhi-an, XI Xiao-yan , LI Wen-lan, Singularities and Nonlinear Vibration of the Elastic Straight Bar under Thermal with Harmonic Excitation, Engineering mechanics, vol23, pp.50-53. (2006).

Google Scholar

[3] Wang Ping, Li Xiaojing, Bai Xiangzhong, Wang Zhiren, Magneto-elastic Random Vibration of An Electro-conductive Beam in Magnetic Field, Journal of vibration and shock, vol26, pp.75-78. (2007).

Google Scholar

[4] Yang Xiao, Cheng Changjun, Magneto-elastic Bucking and Post-buckling of Simply-supported Conducting Rod, Acta mechanica sinica, vol28, pp.181-190. (1996).

Google Scholar

[5] Dorfmawn A, Ogden RW, Nonlinear electro-elastic deformations, J. Elasticity, vol82, pp.99-127 (2006).

Google Scholar

[6] Fosdick R, Tang H, Electrodynamics and thermo-mechanics of material bodies, J. Elasticity, vol88, pp.255-297 (2007).

Google Scholar

[7] Ottenio M, Destrade M, Ogden R W, Incremental magneto-elastic deformations with applications to surface instability, J. Elasticity, vol90, pp.19-42 (2008).

Google Scholar

[8] Nayfeh A. H. and Mook D T., Nonlinear Oscillation, New York: Wiley-interscience, (1979).

Google Scholar