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Changes in the natural frequency of a ferromagnetic rod in a magnetic field due to magnetoelastic interaction
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作者 王省哲 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第8期1023-1032,共10页
Based on the magnetoelastic generalized variational principle and Hamilton's principle, a dynamic theoretical model characterizing the magnetoelastic interaction of a soft ferromagnetic medium in an applied magnetic ... Based on the magnetoelastic generalized variational principle and Hamilton's principle, a dynamic theoretical model characterizing the magnetoelastic interaction of a soft ferromagnetic medium in an applied magnetic field is developed in this paper. From the variational manipulation of magnetic scale potential and elastic displacement, all the fundamental equations for the magnetic field and mechanical deformation, as well as the magnetic body force and magnetic traction for describing magnetoelastic interaction are derived. The theoretical model is applied to a ferromagnetic rod vibrating in an applied magnetic field using a perturbation technique and the Galerkin method. The results show that the magnetic field will change the natural frequencies of the ferromagnetic rod by causing a decrease with the bending motion along the applied magnetic field where the magnetoelastic buckling will take place, and by causing an increase when the bending motion of the rod is perpendicular to the field. The prediction by the mode presented in this paper qualitatively agrees with the natural frequency changes of the ferromagnetic rod observed in the experiment. 展开更多
关键词 ferromagnetic rod magnetoelastic interaction generalized variational principle vibration frequency perturbation method
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A VARIATIONAL PRINCIPLE ON MAGNETOELASTIC INTERACTION OF FERROMAGNETIC THIN PLATES
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作者 Zhou, YH Zheng, XJ 《Acta Mechanica Solida Sinica》 SCIE EI 1997年第1期1-10,共10页
The key to revealing the behaviors of magnetoelastic interaction is how to express the magnetic forces applying on a ferromagnetic elastic body. In this paper, a functional for a ferromagnetic thin plate in magnetic f... The key to revealing the behaviors of magnetoelastic interaction is how to express the magnetic forces applying on a ferromagnetic elastic body. In this paper, a functional for a ferromagnetic thin plate in magnetic fields is proposed by taking the summation of the magnetic energy of the magnetic system and the strain energy of the elastic plates. We present a variational principle for the problem by choosing the variations of magnetic potential and deflection as independent variates each other. Based on the principle, not only are the simultaneous governing equations for magnetic fields and deformation of structures deduced, but also a general expression of magnetic force acting on the plates is gained, which makes it possible to commonly simulate the distinct two experiments of magnetoelastic interaction in a theoretical model. Thus, it can be used to theoretical prediction of the magnetoelastic interaction of ferromagnetic plates in a complex environment of applied magnetic fields. 展开更多
关键词 magnetoelastic interaction variational principle expression of magnetic force ferromagnetic thin plates
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Manifestation of magnetoelastic interactions in Raman spectra of Ho_(x)Nd_(1-x)Fe_(3)(BO_(3))_(4) crystals
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作者 A.S.Krylov S.N.Sofronova +3 位作者 I.A.Gudim S.N.Krylova Rajesh Kumar A.N.Vtyurin 《Journal of Advanced Dielectrics》 CAS 2018年第2期44-53,共10页
Raman spectra of Ho_(1-x)Nd_(x)Fe(BO_(3))4(x=1,0.75,0.5,0.25)have been studied in temperature range 10-400 K.Two compositions(x=1,x=0.75)demonstrate structural phase transition with soft mode restoration.The addition ... Raman spectra of Ho_(1-x)Nd_(x)Fe(BO_(3))4(x=1,0.75,0.5,0.25)have been studied in temperature range 10-400 K.Two compositions(x=1,x=0.75)demonstrate structural phase transition with soft mode restoration.The addition of Nd atoms increases interatomic spacing and decreases the temperature of structural phase transition.The solid solutions(x=0.75,0.5,0.25)demonstrate the emergence of the peaks corresponding to magnetoelastic interaction below Neel temperature.The order parameter of the magnetic phase transition has been determined.The equal concentrations of holmium and neodymium atoms prevent magnon soft modes condensation caused by exchange interactions in Fe-O-Fe chains are observed.Calculations confirm the data obtained in the experiment. 展开更多
关键词 MULTIFERROIC magnetoelastic interaction Raman spectra phase transition magnetic ordering
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A THEORETICAL MODEL OF MAGNETOELASTIC BUCKLING FOR SOFT FERROMAGNETIC THIN PLATES 被引量:2
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作者 周又和 郑晓静 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1996年第3期213-224,共12页
As an essential model of magnetoelastic interaction between magnetic field and mechanical deformation, the study on magnetoelastic buckling phenomenon of soft ferromagnetic plates in a magnetic environment has been co... As an essential model of magnetoelastic interaction between magnetic field and mechanical deformation, the study on magnetoelastic buckling phenomenon of soft ferromagnetic plates in a magnetic environment has been conducted. One of the key steps for the theoretical prediction of the critical magnetic field is how to formulate magnetic force exerted on the magnetized medium. Till today, the theoretical predictions, from theoretical models in publications, of the magnetoelastic buckling of ferromagnetic cantilevered beam-plate in transverse magnetic field are all higher than their experimental data. Sometimes, the discrepancy between them is as high as 100%. In this paper, the macroscope formulation of the magnetic forces is strictly obtained from the microscope Amperion current model. After that, a new theoretical model is established to describe the magnetoelastic buckling phenomenon of ferromagnetic thin plates with geometrically nonlinear deformation in a nonuniform transverse magnetic field. The numerical method for quantitative analysis is employed by combining the finite elemental method for magnetic fields and the finite difference method for deformation of plates. The numerical results obtained from this new theoretical model show that the theoretical predictions of critical values of the buckling magnetic field for the ferromagnetic cantilevered beam-plate are in excellent agreement with their experimental data. By the way, the region of applicability to the Moon-Pao's model, or the couple model, is checked by quantitative results. 展开更多
关键词 soft ferromagnetic medium nonlinear thin plates magnetoelastic interaction theoretical model of buckling critical magnetic field
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MAGNETOELASTIC BENDING AND STABILITY OF CURRENT-CARRYING COIL STRUCTURES
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作者 郑晓静 周又和 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1997年第3期253-263,共11页
As a results of magnetoelastic interaction, the mechanical behavior of current-carrying coil structures, such as deformation and instability, is a key problem in the design of strong held magnets. In this paper, a non... As a results of magnetoelastic interaction, the mechanical behavior of current-carrying coil structures, such as deformation and instability, is a key problem in the design of strong held magnets. In this paper, a nonlinear mathematical model is presented to describe the deformation and buckling of D-type current-carrying coils, based on the Biot-Savart law and the bending theory of curved beams. The bending deformation, the critical value of current for the magnetoelastic buckling of the current-carrying coil, and the effects of the type and number of supports at middle part of the bending coil on the critical value are quantitatively investigated by a semi-analytical and semi-numerical method. The numerical results are shown to be in good agreement with the experimental data. 展开更多
关键词 D-type coil magnetoelastic coupling interaction nonlinear equation critical current semi-analytical method
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Large magnetoelectric effect in BaFe_(12)O_(19)-(Ba_(0.85)Ca_(0.15))(Zr_(0.1)Ti_(0.9))O_(3)particulate composite
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作者 Sheng Liu Pingping Gao +3 位作者 Hongxiang Zou Bo Qin Jun He Lianwen Deng 《Advanced Powder Materials》 2022年第3期1-10,共10页
Multiferroic composites with a large magnetoelectric response are gaining attractive interests for the design of magnetoelectric(ME)functional devices.In this work,the particulate ME composites(Ba_(0.85)Ca_(0.15))(Zr_... Multiferroic composites with a large magnetoelectric response are gaining attractive interests for the design of magnetoelectric(ME)functional devices.In this work,the particulate ME composites(Ba_(0.85)Ca_(0.15))(Zr_(0.1)Ti_(0.9))O_(3)-xBaFe_(12)O_(19)(x=0,0.1,0.2,0.3,0.4 and 1)were prepared,and their structural,dielectric,magnetic,ferroelectric,piezoelectric properties and magnetoelectric coupling were systematically investigated.The composites consisted of only two chemically separated phases with well-bonded interface.Dielectric and impedance analyses indicated the co-contribution of grain and grain boundary to polarization.Well-saturated ferroelectric and magnetic hysteresis loops demonstrated multiferroic nature.ME response was investigated elaborately by employing magnetically induced polarization,together with measuring ME voltage coefficient and magnetodielectric value.Specifically,a large ME coefficient of 26.78 mV/cm·Oe was achieved for x=0.3,which is higher than that in single-phase BaFe_(12)O_(19)and its coupled composites. 展开更多
关键词 Magnetoelectric effect Particulate composite Hexaferrite BaFe_(12)O_(19) magnetoelastic interaction
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