Changes in the natural frequency of a ferromagnetic rod in a magnetic field due to magnetoelastic interaction

作     者：王省哲 

作者机构：Key Laboratory of Mechanics on Western Disasters and EnvironmentLanzhou University Lanzhou 730000P.R.China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2008年第29卷第8期

页      面：1023-1032页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 080102[工学-固体力学] 

基　　金：the National Natural Science Foundation of China(No.10502022) theProgram for New Century Excellent Talents in University(NCET-050878) 

主　　题：ferromagnetic rod magnetoelastic interaction generalized variational principle vibration frequency perturbation method 

摘      要：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.