Primary Resonance of the Current-Carrying Beam in Thermal-Magneto-Elasticity Field
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.
X. Y. Xi et al., "Primary Resonance of the Current-Carrying Beam in Thermal-Magneto-Elasticity Field", Applied Mechanics and Materials, Vols. 29-32, pp. 16-21, 2010