The rotating circular plate is widely used in mechanical engineering, meanwhile the plates are often in the electromagnetic field in modern industry with complex loads. In order to study the resonance of a rotating ci...The rotating circular plate is widely used in mechanical engineering, meanwhile the plates are often in the electromagnetic field in modern industry with complex loads. In order to study the resonance of a rotating circular plate under static loads in magnetic field, the nonlinear vibration equation about the spinning circular plate is derived according to Hamilton principle. The algebraic expression of the initial deflection and the magneto elastic forced disturbance differential equation are obtained through the application of Galerkin integral method. By mean of modified Multiple scale method, the strongly nonlinear amplitude-frequency response equation in steady state is established. The amplitude frequency characteristic curve and the relationship curve of amplitude changing with the static loads and the excitation force of the plate are obtained according to the numerical calculation. The influence of magnetic induction intensity, the speed of rotation and the static loads on the amplitude and the nonlinear characteristics of the spinning plate are analyzed. The proposed research provides the theory reference for the research of nonlinear resonance of rotating plates in engineering.展开更多
Sm-Fe alloy films were electrodeposited in a high static magnetic field with the magnetic flux is perpendicular to the electric current.The samples were prepared on Cu substance in an aqueous solution by constant volt...Sm-Fe alloy films were electrodeposited in a high static magnetic field with the magnetic flux is perpendicular to the electric current.The samples were prepared on Cu substance in an aqueous solution by constant voltage method.The magnetic flux density used in the experiments were 0 T,2 T and 4 T,respectively.The microstructures,preferential orientation,composition of samples were characterized by SEM(equipped with EDS),AFM and XRD,respectively.The results showed that the thickness of films increased,whereas the concentration of Sm in films ascended first and then descended with the increasing of the flux density.The crystal grains were coarsened under the magnetic fields.The morphology of grains changed from granular at 0 T,to rough at 2 T and to cauliflower like at 4 T.The AFM results confirmed the different roughness of samples.However,the external field has not influenced the orientation of samples significantly.展开更多
基金Supported by National Natural Science Foundation of China(Grant No11472239)Hebei Provincial Natural Science Foundation of China(Grant No.A2015203023)Key Project of Science and Technology Research of Higher Education of Hebei Province of China(Grant No.ZD20131055)
文摘The rotating circular plate is widely used in mechanical engineering, meanwhile the plates are often in the electromagnetic field in modern industry with complex loads. In order to study the resonance of a rotating circular plate under static loads in magnetic field, the nonlinear vibration equation about the spinning circular plate is derived according to Hamilton principle. The algebraic expression of the initial deflection and the magneto elastic forced disturbance differential equation are obtained through the application of Galerkin integral method. By mean of modified Multiple scale method, the strongly nonlinear amplitude-frequency response equation in steady state is established. The amplitude frequency characteristic curve and the relationship curve of amplitude changing with the static loads and the excitation force of the plate are obtained according to the numerical calculation. The influence of magnetic induction intensity, the speed of rotation and the static loads on the amplitude and the nonlinear characteristics of the spinning plate are analyzed. The proposed research provides the theory reference for the research of nonlinear resonance of rotating plates in engineering.
文摘Sm-Fe alloy films were electrodeposited in a high static magnetic field with the magnetic flux is perpendicular to the electric current.The samples were prepared on Cu substance in an aqueous solution by constant voltage method.The magnetic flux density used in the experiments were 0 T,2 T and 4 T,respectively.The microstructures,preferential orientation,composition of samples were characterized by SEM(equipped with EDS),AFM and XRD,respectively.The results showed that the thickness of films increased,whereas the concentration of Sm in films ascended first and then descended with the increasing of the flux density.The crystal grains were coarsened under the magnetic fields.The morphology of grains changed from granular at 0 T,to rough at 2 T and to cauliflower like at 4 T.The AFM results confirmed the different roughness of samples.However,the external field has not influenced the orientation of samples significantly.
