磁弹性耦合效应引起的铁磁直杆磁场中振动频率的改变

王省哲

磁弹性耦合效应引起的铁磁直杆磁场中振动频率的改变

王省哲

兰州大学西部灾害与环境力学教育部重点实验室;兰州大学土木工程与力学学院,兰州 730000

基金项目: 国家自然科学基金资助项目(10502022);教育部新世纪优秀人才支持计划资助项目(NCET-050878)

详细信息

作者简介:
王省哲(1972- ),男,陕西扶风人,教授(Tel:+86-931-8913956;E-mail:xzwangl@lzu.edu.cn).

中图分类号: O344
计量
- 文章访问数: 3052
- HTML全文浏览量: 103
- PDF下载量: 613
- 被引次数: 0
出版历程
- 收稿日期: 2007-12-20
- 修回日期: 2008-06-30
- 刊出日期: 2008-08-15

Changes of Natural Frequency of a Ferromagnetic Rod in Magnetic Field Due to Magnetoelastic Interaction

WANG Xing-zhe

Key Laboratory of Mechanics on Western Disasters and Environment, Ministry of Education of China;College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, P. R. China

摘要

摘要: 基于磁弹性广义变分原理和Hamilton原理，对处于外加磁场中的软铁磁体，建立了磁弹性动力学理论模型．分别通过关于铁磁杆磁标势和弹性位移的变分运算，获得了包含磁场和弹性变形的所有基本方程，并给出描述磁弹性耦合作用的磁体力和磁面力．采用摄动技术和Galerkin方法，将所建立的磁弹性理论模型用于外加磁场中铁磁直杆的振动分析．结果表明，由于磁弹性耦合效应，外加磁场将对铁磁杆的振动频率产生影响：当铁磁杆的振动位移沿着磁场方向时，其频率减小并出现磁弹性屈曲失稳；当铁磁杆的振动位移垂直于磁场方向时，其频率将会增大．理论模型能够很好地解释已有实验观测的振动频率改变现象．
- 铁磁杆 /
- 磁弹性相互作用 /
- 广义变分原理 /
- 振动频率 /
- 摄动方法
Abstract: Based on 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.Fhom variational manipulation respectively on magnetic scale potential and elastic displacement,the all fundamental equations for the magnetic field and mechanical deformation,as well as the the magnetic body force and magnetic traction for describing magnetoelastic interaction,were derived.The theoretical model was applied to a ferromagnetic rod vibrating in an applied magnetic field by means of pertrubation technique and Galerldn method.The results show that the magnetic field will change the natural frequenaes of the ferromagnetic rod by decrease as the bending motion along the applied magnetic field where the magnetoelastic buckling will take place,but by increase when bending motion of the rod is perpendicular to the field.The prediction by the model qualitatively agrees with the natural fiequency changes of the ferromagnetic rod observed in the experiment.
- ferromagnetic rod /
- magnetoelastic interaction /
- generalised variational principle /
- vibrationfrequency /
- perturbation method

HTML全文

参考文献(15)

[1]	Moon F C,Pao Y H.Magnetoelastic buckling of a thin plate[J].ASME J Appl Mech,1968,35(1):53-58. doi: 10.1115/1.3601173
[2]	Moon F C,Pao Y H.Vibration and dynamic instability of a beam-plate in a transverse magnetic field[J].ASME J Appl Mech,1969,36(1):1-9. doi: 10.1115/1.3564580
[3]	Dalrymple J M,Peach M O,Viegelaha G L.Magnetoelastic buckling of thin magnetically soft plate in cylinder model[J].ASME J Appl Mech,1974,41(1):145-150. doi: 10.1115/1.3423210
[4]	Miya K,Hara K,Someya K.Experimental and theoretical study on magnetoelastic buckling of a ferromagnetic cantilevered beam-plate[J].ASME J Appl Mech,1978,45(3):355-360. doi: 10.1115/1.3424301
[5]	Peach M O,Christopherson N S,Dalrymple J M,et al.Magnetoelastic buckling:why theory and experiment disagree[J].Exp Mech,1988,28(1):65-69. doi: 10.1007/BF02328998
[6]	Brown W F.Magnetoelastic Interaction[M].Tracts.In:Natural Philosophy,No.9. Berlin:Springer,1966.
[7]	Pao Y H, Yeh C S.A linear theory for soft ferromagnetic elastic solid[J].Internat J Engrg Sci,1973,11(4):415-436. doi: 10.1016/0020-7225(73)90059-1
[8]	Van Lieshout P H,Rongen P M J, Van de Ven A A F.A variational principle for magnetoelastic buckling[J].J Engrg Math,1987,21:227-252. doi: 10.1007/BF00127465
[9]	Tagaki T,Tani J,Matsubara Y,et al.Electromagneto-mechanical coupling effects for non-ferromagnetic and ferromagnetic structures[A].In:Miya K,Ed.Proc 2nd Internat Workshop on Electromagnetic Forces and Related Effects on Blankets and Other Structures Surrounding the Fission Plasma Torus[C].Japan:Tokai,1993,81-90.
[10]	ZHOU You-he, ZHENG Xiao-jing.A general expression of magnetic force for soft ferromagnetic plates in complex magnetic fields[J].Internat J Engrg Sci,1997,35(15):1405-1417. doi: 10.1016/S0020-7225(97)00051-7
[11]	ZHOU You-he,ZHENG Xiao-jing.A generalized variational principle and theoretical model for magnetoelastic interaction of ferromagnetic bodies[J].Science in China,Ser A,1999,42(6):618-626.
[12]	ZHENG Xiao-jing,ZHOU You-he,WANG Xing-zhe,et al.Bending and buckling of ferroelastic plates[J].ASCE J Eng Mech,1999,125(2):180-185. doi: 10.1061/(ASCE)0733-9399(1999)125:2(180)
[13]	Moon F C.Problems in magneto-solid mechanics[A].In:Mechanics Today[C].Vol 4 (A78-35706 14-70).New York:Pergamon Press,Inc,1978, 307-390.
[14]	WANG Xing-zhe,Lee J S, ZHENG Xiao-jing.Magneto-thermo-elastic instability of ferromagnetic plates in thermal and magnetic fields[J].Internat J Solids and Structures,2003,40(22):6125-6142. doi: 10.1016/S0020-7683(03)00297-X
[15]	Meirovitch L.Analytical Methods in Vibrations[M].New York:Macmillan,1967.