The Dynamic Stability Analysis Of A Rotating Conductive Annular Plate In A Magnetic Field

The high-speed rotating circular plate structure are widely used as the basic core component of many rotating machinery parts, and the structural vibration and stability analysis of the plate have been widely concerned. This paper mainly investigated the travelling wave dynamics problem of the high-speed rotating annular plate in a magnetic field and aerodynamic load. Some results were given to analyze the stability of the vibration system, and provided some guidance for the vibration system research.The uniform rotating annular plate usually have some complicated mechanical properties when subjected to external load and electromagnetic effects in a magnetic field. Firstly, the expressions of kinetic energy, bending deformation potential and the electromagnetic force virtual work of the uniform rotating circular plate were derived according to the elastic theory and the related electromagnetic principle, and the magnetoelastic vibration control equation is derived by Hamiltonian principle.The transverse vibration traveling wave dynamic characteristics of the rotating conductive annular plate in a magnetic field were studied. The magnetoelastic vibration equation of the annular plate was solved by Galerkin method, and the effects of different parameters such as magnetic field, rotating speed and thickness on the forward traveling wave, the backward traveling wave vibration frequency and the critical speed were analyzed.The dynamic stability of a rotating annular plate in magnetic field and the aerodynamic load was studied. The aero-magnetio-elastic vibration equation of the annular plate was derived, and the solution of vibration equation was solved by using Galerkin method. The effects of different parameters such as magnetic field, aerodynamic load, and rotating speed on the forward traveling wave, the backward traveling wave vibration frequency and the critical speed, damping were studied.The nonlinear traveling wave dynamics characteristics of a rotating conducting annular plate under the condition of the middle clamping and the surrounding sliding fixed in a magnetic field was investigaed. By changing the magnetic induction intensity, the nonlinear traveling wave vibration stability of the rotating annular plate was analyzed, and the effects of different parameters such as magnetic field, rotating speed and thickness on the vibration frequency and the critical speed were obtained.