Rare-earth-based permanent magnets are one of the most important magnets in both scientific and industrial fields. With the development of technology, nanostructured rarearth-based permanent magnets with high energy p...Rare-earth-based permanent magnets are one of the most important magnets in both scientific and industrial fields. With the development of technology, nanostructured rarearth-based permanent magnets with high energy products are highly required. In this article, we will review the progress in chemical synthetic strategies of nanostructured rare-earth-based permanent magnets.展开更多
The 2D transient FEM was used to analyze the starting process of the three phase rare-earth LS-PMSM.By verifying the simulation result with the experiment one, we get the conclusion that it is consistent with the expe...The 2D transient FEM was used to analyze the starting process of the three phase rare-earth LS-PMSM.By verifying the simulation result with the experiment one, we get the conclusion that it is consistent with the experiment result very well.At the same time, by analyzing the situation of the magnetic bridge, we also get the result that the amplitude of EMF waves are changing with the situation of the magnetic poles and we can optimize the motor's structure at the same time.展开更多
Multiscale simulation is a key research tool in the quest for new permanent magnets.Starting with first principles methods,a sequence of simulation methods can be applied to calculate the maximum possible coercive fie...Multiscale simulation is a key research tool in the quest for new permanent magnets.Starting with first principles methods,a sequence of simulation methods can be applied to calculate the maximum possible coercive field and expected energy density product of a magnet made from a novel magnetic material composition.Iron(Fe)-rich magnetic phases suitable for permanent magnets can be found by means of adaptive genetic algorithms.The intrinsic properties computed by ab initio simulations are used as input for micromagnetic simulations of the hysteresis properties of permanent magnets with a realistic structure.Using machine learning techniques,the magnet’s structure can be optimized so that the upper limits for coercivity and energy density product for a given phase can be estimated.Structure property relations of synthetic permanent magnets were computed for several candidate hard magnetic phases.The following pairs(coercive field(T),energy density product(kJ·m^-3))were obtained for iron-tin-antimony(Fe3Sn0.75Sb0.25):(0.49,290),L10-ordered iron-nickel(L10 FeNi):(1,400),cobalt-iron-tantalum(CoFe6Ta):(0.87,425),and manganese-aluminum(MnAl):(0.53,80).展开更多
The RE-Fe-B permanent magnets have a complex microstructure and they are susceptible to corrosion process. In this paper, the commercial nickel coatings adhesion was investigated. The microstructure of the RE-Fe-B wit...The RE-Fe-B permanent magnets have a complex microstructure and they are susceptible to corrosion process. In this paper, the commercial nickel coatings adhesion was investigated. The microstructure of the RE-Fe-B without coating was analyzed by scanning electronic microscopy and electrochemical techniques. The interface magnet/coating was studied by scanning electron microscopy and the nickel-plated Nd-Fe-B commercial magnets were tested in a salt spray chamber. The ferromagnetic and RE-rich phases were observed. After the anodic polarization curve, a strong intergranular corrosion was observed and the RE-rich phase was preferentially attacked. The interface magnet/Ni coating presented inter-granular corrosion that can affect the nickel coating adherence. This attack had probably occurred during the electrodeposition process. Not all the samples suffered localized corrosion during the salt spray tests and the Ni triple-layer coating presented a few corrosion points. RE-Fe-B alloy magnets need to be protected with appropriate coatings to each environment to which they will be exposed and the protective coating must not be damaged.展开更多
LaCo_(13) has the highest 3d metal content ,of any known rare-earth intermetallic compounds,a1. 03MA/m saturation magnetization at room temperature and a high T_c (1318K). Unfortunately ,it is cubic ,lacking of the ne...LaCo_(13) has the highest 3d metal content ,of any known rare-earth intermetallic compounds,a1. 03MA/m saturation magnetization at room temperature and a high T_c (1318K). Unfortunately ,it is cubic ,lacking of the necessary anisotropy,thus diminishing the chance that it will be used as a permanent rnagneticmaterial. In this paper ,the structure and magnetic properties of LaCo_(13) Six (x=2 , 4 )and LaCo_(13) Ge_X(x=2,2. 5 ,3 ,4)intermetallic compounds have been studied. The crystal structure was found to be tetragonal whenx=4 for LaCo_(13-X) Six and x=3 , 4 for LaCo_(13-X) Gex ,but the difference between the lattice parameters a and c isvery small. In order to gain the tetragonal structure ,the annealing temperature of LaCo_(13-X) Ge_X must be con-trolled strictly. The magnetic rneasurement results show that the Curie temperatures of all these compoundsare high ,but the saturation magnetization at room-temperature decreases greatly with x increasing.展开更多
The present study reported the influence of heavy rare-earth elements(Gd and/or Dy)on Sm-Co-based melt-spun ribbons.Microstructure and magnetic properties of Sm-Co-based(Sm_(1-x)RE_(x)Co_(5))ternary and quaternary sys...The present study reported the influence of heavy rare-earth elements(Gd and/or Dy)on Sm-Co-based melt-spun ribbons.Microstructure and magnetic properties of Sm-Co-based(Sm_(1-x)RE_(x)Co_(5))ternary and quaternary systems were investigated.The X-ray diffraction,Auger spectroscopy,scanning electron microscopy(SEM)and transmission electron microscopy(TEM)analyses reveal the presence of the 1:5H and 2:17R phases in the as-spun ribbons.A high-temperature magnetic measurement reports a Curie temperature(Tc)at~825 and~869 K in Sm0.6Gd0.4Co5(ribbon A)and Sm_(0.6)Gd_(0.3)Dy_(0.1)Co_(5)(ribbon B),respectively.A low-temperature magnetic measurement on Sm0.6Gd0.3Dy0.1Co5 ribbons exhibits a type-2 SR(spin reorientation)behaviour at~72 K,which arises due to the presence of the DyCo5 phase.Room temperature magnetic measurements reveal that overall magnetic measurement(OMP)is about 24 and 29.9 for ribbons A and B,respectively.Consequently,the comparative investigations profess that ribbon B shows better magnetic performance due to Dy addition with reduced grain size.This observation indicates that the Gd and Dy substituted Sm-Co magnet can be a potential magnet for high-temperature applications.展开更多
Samarium–cobalt rare-earth(Sm–Co-RE) permanent magnetic materials with large magnetic energy product, high coercive force, high Curie temperature, good thermal stability, and corrosion resistance, have wide potent...Samarium–cobalt rare-earth(Sm–Co-RE) permanent magnetic materials with large magnetic energy product, high coercive force, high Curie temperature, good thermal stability, and corrosion resistance, have wide potential applications in aerospace, microwave communications, instrumentation, electrical engineering, magnetic machinery, etc. In this paper, the development of Sm–CoRE permanent magnetic materials in the following aspects in recent years was summarized: Sm–Co-RE permanent magnets with high application temperatures, positive temperature coefficients of coercive force, zero temperature coefficients of residual magnetization, high resistance rate,high mechanical property, and nanocrystallization.展开更多
It is well known that the permanent magnet materials are widely used in industry, medical treatment and daily life. Since the discovery of Sm-Co rare-earth transition-metal magnets, the researchers on magnetic materia...It is well known that the permanent magnet materials are widely used in industry, medical treatment and daily life. Since the discovery of Sm-Co rare-earth transition-metal magnets, the researchers on magnetic materials have made great efforts trying to substitute Co by Fe so as to obtain Fe-based rare-earth permanent magnet materials with low cost. The success in producing Nd<sub>2</sub>Fe<sub>14</sub>B permanent magnet has given a new impetus to the study on ironrich rare-earth alloys.展开更多
Since the discovery of R<sub>2</sub>Fe<sub>17</sub>N<sub>y</sub> by Coey and Sun Hong, the intrinsic and extrinsic magnetic properties of these nitrides have been extensively invest...Since the discovery of R<sub>2</sub>Fe<sub>17</sub>N<sub>y</sub> by Coey and Sun Hong, the intrinsic and extrinsic magnetic properties of these nitrides have been extensively investigated. Having very good intrinsic magnetic properties with Curie temperature of 749 K and room temperature anisotropy field of 14 T superior to Nd<sub>2</sub>Fe<sub>14</sub>B, and room temperature saturation magnetization of 1.5 T, the Sm<sub>2</sub>Fe<sub>17</sub>N<sub>y</sub> nitride is expected to become new permanent magnet for application. The Sm<sub>2</sub>Fe<sub>17</sub>N<sub>y</sub> nitride with intrinsic coercivity of 3T has been obtained by mechanical alloying. The Sm<sub>2</sub>Fe<sub>17</sub>N<sub>y</sub>, magnets bonded by metal zinc have intrinsic coercivity μ<sub>0i</sub>H<sub>c</sub> over 0.5 T and magnetic product (BH)<sub>max</sub>about 80 kJ·m<sup>-3</sup>展开更多
We investigated the structural and magnetic properties of Sm(Co0.7Fe0.1Ni0.12Zr0.04B0.04)7.5 melt spun ribbons. Samples were arc melted then melt spun at 37 m/s up to 55 m/s to obtain ribbon for powdering. Annealing...We investigated the structural and magnetic properties of Sm(Co0.7Fe0.1Ni0.12Zr0.04B0.04)7.5 melt spun ribbons. Samples were arc melted then melt spun at 37 m/s up to 55 m/s to obtain ribbon for powdering. Annealing was performed in argon atmosphere for 30- 75 min at 600-870 oC. In as-spun ribbons the hexagonal SmCo7 (TbCu7-type of structure) of crystal structure was determined from x-ray diffraction patterns, while fcc-Co has been identified as a secondary phase. After annealing, the 1:7 phase of the as-spun ribbons transformed into 2:17 and 1:5 phases. X-ray patterns for as-milled powders exhibited very broad peaks making it difficult to identify a precise structure but repre-sented the 1:7 structure after annealing at low temperature (650 oC). TEM analysis showed a homogeneous nanocrystalline microstructure with average grain size of 30-80 nm. Coercivity values of 15-27 kOe were obtained from hysteresis loops traced up to a field of 5 T. The co-ercivity decreased as temperature increases, but it maintained values higher than 5 kOe at 380 oC. The maximum energy product at room temperature increased, as high as 7.2 MGOe, for melt-spun isotropic ribbons produced at higher wheel speeds. Anisotropic ribbons had a maximum energy product close to 12 MGOe.展开更多
The 2:14:1-type rare-earth(RE)-Fe-B permanent magnets prepared by the dual alloy method have been found to possess much superior magnetic properties to those prepared by the single alloy method,providing an appealing ...The 2:14:1-type rare-earth(RE)-Fe-B permanent magnets prepared by the dual alloy method have been found to possess much superior magnetic properties to those prepared by the single alloy method,providing an appealing route to promote the utilization of high-abundance RE elements Ce and La and balance the use of the RE source.However,the relationship between magnetic interactions among different 2:14:1 main phases and superior magnetic properties is still unclear.In this study,we investigated the magnetic interactions and reversal field distribution in these magnets using first-order reversal curve(FORC)images.The FORC images showed that(Nd,Pr)27.8(La,Ce)2.7FebalM1.4B1.0(S-9)and(Nd,Pr)19.5(La,Ce)11.0FebalM1.4B1.0(S-36)have the characteristics of multiple main phases.The reverse magnetic fields corresponding to the soft and hard main phases,as well as the associated exchange coupling,were highly dependent on the La Ce content.The higher the La Ce content,the weaker the exchange coupling and the more asynchronous the demagnetization process.In addition,the FORC images indicated that the magnetization reversal process also varies with La Ce content,where the nucleation and propagation of reversed domains dominant in the S-9 magnet,while the domain propagation in the S-36 magnet is considerably suppressed.Additional micromagnetic simulations also revealed that the coercivity and exchange coupling of multi-main-phase magnets decrease with increasing La Ce content,correlating well with the experimental results.These findings may not only contribute to a better understanding of the complex magnetic interactions between the soft and hard phases and how they affect macroscopic magnetic properties but also help in improving the magnetic performance of the RE-Fe-B magnets with high La Ce content.展开更多
目前电磁超声换能器(electromagnetic acoustictransducer,EMAT)建模方法中存在有限元法计算时间较长,解析法建模不完整的问题。通过将圆柱永磁体等效为电流环并采用截断区域特征函数展开(truncated region eigen-function expansion,TR...目前电磁超声换能器(electromagnetic acoustictransducer,EMAT)建模方法中存在有限元法计算时间较长,解析法建模不完整的问题。通过将圆柱永磁体等效为电流环并采用截断区域特征函数展开(truncated region eigen-function expansion,TREE)方法,建立螺旋线圈EMAT完整解析模型,得到涡流、磁场、力场和线圈阻抗的表达式。随后以铝板探伤为背景,应用该模型分析静磁场及其产生的洛伦兹力分布规律,得到永磁体直径是线圈的1.5~2倍,厚度与其直径相等的设计原则;对比分析静磁场洛伦兹力和交变磁场洛伦兹力的频率、大小和分布规律。最后,结合有限元法和实验验证了模型和分析结果的有效性。展开更多
基金supported by the National Basic Research Program of China(No.2010CB934601)the National Natural Science Foundation of China(NSFC)(Nos.51125001,51172005,and 90922033)+1 种基金the Doctoral Program(No.20120001110078)the Natural Science Foundation of Beijing(No.2122022)
文摘Rare-earth-based permanent magnets are one of the most important magnets in both scientific and industrial fields. With the development of technology, nanostructured rarearth-based permanent magnets with high energy products are highly required. In this article, we will review the progress in chemical synthetic strategies of nanostructured rare-earth-based permanent magnets.
文摘The 2D transient FEM was used to analyze the starting process of the three phase rare-earth LS-PMSM.By verifying the simulation result with the experiment one, we get the conclusion that it is consistent with the experiment result very well.At the same time, by analyzing the situation of the magnetic bridge, we also get the result that the amplitude of EMF waves are changing with the situation of the magnetic poles and we can optimize the motor's structure at the same time.
基金This work was supported by the EU H2020 project NOVAMAG(686056)and the Austrian Science Fund FWF(I3288-N36).Sergiu Arapan and Pablo Nieves acknowledge the European Regional Development Fund in the IT4Innovations National Supercomputing Center—path to exascale project(CZ 02.1.01/0.0/0.0/16-013/0001791)within the Operational Programme Research,Development and Education,and IT4Innovations computational resources allocated within projects OPEN-11-33,OPEN-14-23,and OPEN-17-14.
文摘Multiscale simulation is a key research tool in the quest for new permanent magnets.Starting with first principles methods,a sequence of simulation methods can be applied to calculate the maximum possible coercive field and expected energy density product of a magnet made from a novel magnetic material composition.Iron(Fe)-rich magnetic phases suitable for permanent magnets can be found by means of adaptive genetic algorithms.The intrinsic properties computed by ab initio simulations are used as input for micromagnetic simulations of the hysteresis properties of permanent magnets with a realistic structure.Using machine learning techniques,the magnet’s structure can be optimized so that the upper limits for coercivity and energy density product for a given phase can be estimated.Structure property relations of synthetic permanent magnets were computed for several candidate hard magnetic phases.The following pairs(coercive field(T),energy density product(kJ·m^-3))were obtained for iron-tin-antimony(Fe3Sn0.75Sb0.25):(0.49,290),L10-ordered iron-nickel(L10 FeNi):(1,400),cobalt-iron-tantalum(CoFe6Ta):(0.87,425),and manganese-aluminum(MnAl):(0.53,80).
文摘The RE-Fe-B permanent magnets have a complex microstructure and they are susceptible to corrosion process. In this paper, the commercial nickel coatings adhesion was investigated. The microstructure of the RE-Fe-B without coating was analyzed by scanning electronic microscopy and electrochemical techniques. The interface magnet/coating was studied by scanning electron microscopy and the nickel-plated Nd-Fe-B commercial magnets were tested in a salt spray chamber. The ferromagnetic and RE-rich phases were observed. After the anodic polarization curve, a strong intergranular corrosion was observed and the RE-rich phase was preferentially attacked. The interface magnet/Ni coating presented inter-granular corrosion that can affect the nickel coating adherence. This attack had probably occurred during the electrodeposition process. Not all the samples suffered localized corrosion during the salt spray tests and the Ni triple-layer coating presented a few corrosion points. RE-Fe-B alloy magnets need to be protected with appropriate coatings to each environment to which they will be exposed and the protective coating must not be damaged.
文摘LaCo_(13) has the highest 3d metal content ,of any known rare-earth intermetallic compounds,a1. 03MA/m saturation magnetization at room temperature and a high T_c (1318K). Unfortunately ,it is cubic ,lacking of the necessary anisotropy,thus diminishing the chance that it will be used as a permanent rnagneticmaterial. In this paper ,the structure and magnetic properties of LaCo_(13) Six (x=2 , 4 )and LaCo_(13) Ge_X(x=2,2. 5 ,3 ,4)intermetallic compounds have been studied. The crystal structure was found to be tetragonal whenx=4 for LaCo_(13-X) Six and x=3 , 4 for LaCo_(13-X) Gex ,but the difference between the lattice parameters a and c isvery small. In order to gain the tetragonal structure ,the annealing temperature of LaCo_(13-X) Ge_X must be con-trolled strictly. The magnetic rneasurement results show that the Curie temperatures of all these compoundsare high ,but the saturation magnetization at room-temperature decreases greatly with x increasing.
文摘The present study reported the influence of heavy rare-earth elements(Gd and/or Dy)on Sm-Co-based melt-spun ribbons.Microstructure and magnetic properties of Sm-Co-based(Sm_(1-x)RE_(x)Co_(5))ternary and quaternary systems were investigated.The X-ray diffraction,Auger spectroscopy,scanning electron microscopy(SEM)and transmission electron microscopy(TEM)analyses reveal the presence of the 1:5H and 2:17R phases in the as-spun ribbons.A high-temperature magnetic measurement reports a Curie temperature(Tc)at~825 and~869 K in Sm0.6Gd0.4Co5(ribbon A)and Sm_(0.6)Gd_(0.3)Dy_(0.1)Co_(5)(ribbon B),respectively.A low-temperature magnetic measurement on Sm0.6Gd0.3Dy0.1Co5 ribbons exhibits a type-2 SR(spin reorientation)behaviour at~72 K,which arises due to the presence of the DyCo5 phase.Room temperature magnetic measurements reveal that overall magnetic measurement(OMP)is about 24 and 29.9 for ribbons A and B,respectively.Consequently,the comparative investigations profess that ribbon B shows better magnetic performance due to Dy addition with reduced grain size.This observation indicates that the Gd and Dy substituted Sm-Co magnet can be a potential magnet for high-temperature applications.
基金financially supported by the Research Fund for the Doctoral Program of Higher Education of China (No.20100560)the National Natural Science Foundation of China (Nos. 51104188 and 51274107)
文摘Samarium–cobalt rare-earth(Sm–Co-RE) permanent magnetic materials with large magnetic energy product, high coercive force, high Curie temperature, good thermal stability, and corrosion resistance, have wide potential applications in aerospace, microwave communications, instrumentation, electrical engineering, magnetic machinery, etc. In this paper, the development of Sm–CoRE permanent magnetic materials in the following aspects in recent years was summarized: Sm–Co-RE permanent magnets with high application temperatures, positive temperature coefficients of coercive force, zero temperature coefficients of residual magnetization, high resistance rate,high mechanical property, and nanocrystallization.
文摘It is well known that the permanent magnet materials are widely used in industry, medical treatment and daily life. Since the discovery of Sm-Co rare-earth transition-metal magnets, the researchers on magnetic materials have made great efforts trying to substitute Co by Fe so as to obtain Fe-based rare-earth permanent magnet materials with low cost. The success in producing Nd<sub>2</sub>Fe<sub>14</sub>B permanent magnet has given a new impetus to the study on ironrich rare-earth alloys.
文摘Since the discovery of R<sub>2</sub>Fe<sub>17</sub>N<sub>y</sub> by Coey and Sun Hong, the intrinsic and extrinsic magnetic properties of these nitrides have been extensively investigated. Having very good intrinsic magnetic properties with Curie temperature of 749 K and room temperature anisotropy field of 14 T superior to Nd<sub>2</sub>Fe<sub>14</sub>B, and room temperature saturation magnetization of 1.5 T, the Sm<sub>2</sub>Fe<sub>17</sub>N<sub>y</sub> nitride is expected to become new permanent magnet for application. The Sm<sub>2</sub>Fe<sub>17</sub>N<sub>y</sub> nitride with intrinsic coercivity of 3T has been obtained by mechanical alloying. The Sm<sub>2</sub>Fe<sub>17</sub>N<sub>y</sub>, magnets bonded by metal zinc have intrinsic coercivity μ<sub>0i</sub>H<sub>c</sub> over 0.5 T and magnetic product (BH)<sub>max</sub>about 80 kJ·m<sup>-3</sup>
基金Project supported by HITEMAG European project (G5RD-CT-2000-002B)DARPA Metamaterials program (ADA458377)
文摘We investigated the structural and magnetic properties of Sm(Co0.7Fe0.1Ni0.12Zr0.04B0.04)7.5 melt spun ribbons. Samples were arc melted then melt spun at 37 m/s up to 55 m/s to obtain ribbon for powdering. Annealing was performed in argon atmosphere for 30- 75 min at 600-870 oC. In as-spun ribbons the hexagonal SmCo7 (TbCu7-type of structure) of crystal structure was determined from x-ray diffraction patterns, while fcc-Co has been identified as a secondary phase. After annealing, the 1:7 phase of the as-spun ribbons transformed into 2:17 and 1:5 phases. X-ray patterns for as-milled powders exhibited very broad peaks making it difficult to identify a precise structure but repre-sented the 1:7 structure after annealing at low temperature (650 oC). TEM analysis showed a homogeneous nanocrystalline microstructure with average grain size of 30-80 nm. Coercivity values of 15-27 kOe were obtained from hysteresis loops traced up to a field of 5 T. The co-ercivity decreased as temperature increases, but it maintained values higher than 5 kOe at 380 oC. The maximum energy product at room temperature increased, as high as 7.2 MGOe, for melt-spun isotropic ribbons produced at higher wheel speeds. Anisotropic ribbons had a maximum energy product close to 12 MGOe.
基金supported by the Beijing Natural Science Foundation(Grant No.2214070)Science Center of the National Science Foundation of China(Grant No.52088101)+6 种基金National Natural Science Foundation of China(Grant Nos.52001012,51901057,U1832219,51771223,and 51971240)Heye Chongming Project(Grant No.HYCMP-2021001)National Key Research and Development Program of China(Grant Nos.2021YFB3501202,2021YFB35015043,2020YFA0711502,2019YFA0704900,2018YFA0305704,and 2017YFA0303601)Key Projects of Capacity Construction of Science and Technology Innovation Service(Grant No.19002020124)Beijing Talent Training Quality Construction Project(Grant No.19008021064)Strategic Priority Research Program B(Grant No.XDB33030200)Key Program of the Chinese Academy of Sciences(CAS)。
文摘The 2:14:1-type rare-earth(RE)-Fe-B permanent magnets prepared by the dual alloy method have been found to possess much superior magnetic properties to those prepared by the single alloy method,providing an appealing route to promote the utilization of high-abundance RE elements Ce and La and balance the use of the RE source.However,the relationship between magnetic interactions among different 2:14:1 main phases and superior magnetic properties is still unclear.In this study,we investigated the magnetic interactions and reversal field distribution in these magnets using first-order reversal curve(FORC)images.The FORC images showed that(Nd,Pr)27.8(La,Ce)2.7FebalM1.4B1.0(S-9)and(Nd,Pr)19.5(La,Ce)11.0FebalM1.4B1.0(S-36)have the characteristics of multiple main phases.The reverse magnetic fields corresponding to the soft and hard main phases,as well as the associated exchange coupling,were highly dependent on the La Ce content.The higher the La Ce content,the weaker the exchange coupling and the more asynchronous the demagnetization process.In addition,the FORC images indicated that the magnetization reversal process also varies with La Ce content,where the nucleation and propagation of reversed domains dominant in the S-9 magnet,while the domain propagation in the S-36 magnet is considerably suppressed.Additional micromagnetic simulations also revealed that the coercivity and exchange coupling of multi-main-phase magnets decrease with increasing La Ce content,correlating well with the experimental results.These findings may not only contribute to a better understanding of the complex magnetic interactions between the soft and hard phases and how they affect macroscopic magnetic properties but also help in improving the magnetic performance of the RE-Fe-B magnets with high La Ce content.
文摘目前电磁超声换能器(electromagnetic acoustictransducer,EMAT)建模方法中存在有限元法计算时间较长,解析法建模不完整的问题。通过将圆柱永磁体等效为电流环并采用截断区域特征函数展开(truncated region eigen-function expansion,TREE)方法,建立螺旋线圈EMAT完整解析模型,得到涡流、磁场、力场和线圈阻抗的表达式。随后以铝板探伤为背景,应用该模型分析静磁场及其产生的洛伦兹力分布规律,得到永磁体直径是线圈的1.5~2倍,厚度与其直径相等的设计原则;对比分析静磁场洛伦兹力和交变磁场洛伦兹力的频率、大小和分布规律。最后,结合有限元法和实验验证了模型和分析结果的有效性。