The Nonlinear Magneto-Elastic Vibration and Stability of Current-Conducting Thin Plate in Longitudinal Magnetic Field

Yu Da Hu; Bai Zhou Li; Guo Jun Du

doi:10.4028/www.scientific.net/AMR.199-200.1069

Paper Titles

Test Verification of a New Type Damper for Piping System
p.1046

Tribological Properties of Serpentine Nanoparticles as Oil Additive under Different Material Friction Pairs
p.1051

Analysis of Transverse Vibration of Circular Plates with an Elastically Mounted Mass Based on Combination of GDQM and FEM
p.1058

Dynamic Structure Design of Large-Scale High-Speed Gantry Type CNC Milling Machine
p.1065

The Nonlinear Magneto-Elastic Vibration and Stability of Current-Conducting Thin Plate in Longitudinal Magnetic Field
p.1069

Adhesion Control of High Speed Train under Electric-Pneumatic Braking
p.1074

Nonlinear Superharmonic Resonance of Damped Circular Sandwich Plates with Initial Deflection
p.1080

Research of Nonlinear Primary Resonance of Damped Circular Sandwich Plates with Initial Deflection
p.1084

Research on Fabrication Techniques and Performance Analysis for 3×3 Cymbal Transducer Array
p.1088

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 199-200The Nonlinear Magneto-Elastic Vibration and...

The Nonlinear Magneto-Elastic Vibration and Stability of Current-Conducting Thin Plate in Longitudinal Magnetic Field

Abstract:

Based on the Maxwell equation and Kirchhoff assumption of thin plate, nonlinear magneto-elastic vibration equation, electrodynamics equation and electromagnetic force expressions of current-conducting thin plate were deduced. Furthermore, nonlinear super-harmonic resonance of thin beam-plate under lateral mechanical motive load in longitudinal magnetic field was studied. Considering the thin plate simply supported on two opposite sides, the magneto-elastic coupled vibration differential equations about function of displacement of vibration and electric field intensity were obtained by the method of Galerkin. Then, the amplitude-frequency response equation under super-harmonic resonance was derived by using method of Multiple scales. Correspondingly the stability of stable solution was analyzed. Through the numerical calculation, characteristic curves of amplitude changing with detuning parameter, the excitation amplitude and the magnetic intensity. At last, the influence of electric-magnetic and mechanic parameter on resonance phenomenon and stability of solution was analyzed.