Vibrate Bifurcation Of Plate,Shell At Electromagnetic Field

Electromagnetism solid mechanics study electromagnetic field and deformation field interoperable theory of flexibility solid matter, Plate and Shell magnetoelasticity nonlinear vibrational subject is relatively common of engineering reality, Establish and Solve of governing equation have very great difficulty, So to study Plate and Shell magnetoelasticity nonlinear vibrational subject have important theory and reality meaning.This paper firstly according to equation of magnetoelasticity nonlinear vibration, Gain nonlinear vibrational equation of Beam-plate, Specific analyse bifurcation factor of Beam-plate by Center-manifold-theorem, And gain exist factor of global bifurcation by Melnikov function.Secondly adhibit parameter to vibrational equation of the conductive Beam-plate and transform, Gain master syntonic single and second order stable common solution by Multi-scale means, Gain equation of bifurcation and Anslyze behaviour of bifurcation by Strangeness-theory, Different change sum of sequences have different bifurcation of the conductive Beam-plate.volume. Solving and Gain factor of bifurcation is not exist of fork volume and double limit point volume, Bifurcation only exist of lag volume, Gain factor of bifurcation at lag volume field.Finally adhibit boundary condition to vibrational equation of simply supported on both bides of Column-thin-shell, Gain vibrational differential equation of Column-thin-shell and This equation have cubic and squared term, Find master syntonic solutional equation of bifurcation. Gain equation of bifurcation and Anslyze behaviour of bifurcation by Strangeness-theory, Different change sum of sequences have different bifurcation volume of the conductive Column-thin-shell. Factor of bifurcation is not exist of fork volume and lag volume, Bifurcation only exist of double limit point volume, Gain factor of bifurcation at double limit point volume field.