Primary Resonance of the Current-Carrying Beam in Thermal-Magneto-Elasticity Field

Xiao Yan Xi; Zhian Yang; Li Li Meng; Chang Jian Zhu

doi:10.4028/www.scientific.net/AMM.29-32.16

Paper Titles

Preface, Sponsors and Committees

A Sweet Spot Model for Batting
p.3

Load Distribution over Raceways of an 8-Point-Contact Slewing Bearing
p.10

Primary Resonance of the Current-Carrying Beam in Thermal-Magneto-Elasticity Field
p.16

Nonlinear Model of Thin-Walled Composite Beams with Moderate Deflections
p.22

Solitary Waves and Chaotic Behavior in Large-Deflection Beam
p.28

On Computing Leakage Flow of Plunger Pair in Radial-Plunger Pump
p.35

Research on the Force on the Plunger and the Roller of the Static Pressure Supporting Cylinder Pair
p.41

The Modeling Study on Kinematic Interface Joints Based on Accordant Displacement Method
p.48

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 29-32Primary Resonance of the Current-Carrying Beam in...

Primary Resonance of the Current-Carrying Beam in Thermal-Magneto-Elasticity Field

Abstract:

On base of the electro-magneto-elastic theory and the theory of the bending vibration of the electric beam, nonlinear vibration equation of current-carrying beam subjected to 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 the primary resonance of the system is obtained. Numerical analysis results show that the amplitude changed with the system parameters. With the decrease of magnetic intensity, the amplitude increases rapidly. The response curve occurs bending phenomenon and soft features is increased gradually. Increasing current, the amplitudes increase. With the decrease of temperature, the peak of response curves decrease. With the increase of temperature, natural frequency decreased. It is useful in practical engineering.

You might also be interested in these eBooks

Applied Mechanics And Mechanical Engineering

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 29-32)

Pages:

16-21

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.29-32.16

Citation:

Cite this paper

Online since:

August 2010

Authors:

Xiao Yan Xi, Zhian Yang, Li Li Meng, Chang Jian Zhu

Keywords:

Current-Carrying Beam, Lorentz Force, Method of Multiple Scales, Primary Resonance, Thermal-Magneto-Elasticity

Export:

RIS, BibTeX

Price:

Permissions:

Request Permissions

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, 2005, pp.71-75.

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, 2006, pp.50-53.

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, 2007, pp.75-78.

Google Scholar

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

Google Scholar

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

Google Scholar

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

Google Scholar

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

Google Scholar

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

Google Scholar