斜磁场作用下铁磁梁式板的磁场摄动分析

基于磁场摄动技术和广义变分原理得到的磁力公式,对铁磁梁式板在斜磁场作用下的磁场和磁力摄动展开研究.给出了考虑磁场端部效应情形时铁磁梁式板的摄动磁场及其磁力摄动表达式,使得解析分析斜磁场作用下铁磁梁式板磁弹性耦合问题成为可能.研究表明:只有考虑了磁场端部效应的斜磁场磁力摄动公式才能模拟铁磁结构的弯曲模式且能够定性揭示铁磁简支梁式板弯曲构形为双半波形.

PERTURBATION ANALYSIS FOR MAGNETIC-ELASTIC BENDING OF FLAT FERROMAGNETIC BEAM-PLATE UNDER AN OBLIQUE MAGNETIC FIELD

Based on the perturbation technique of magnetic field and the formula of magnetic force obtained from the generalized varational principle,this article presents a demonstration how a bending solution to the magneto-elastic interaction of flat ferromagnetic plates can be obtained after the end effect of magnetic fields is taken into account.When we use the conventional perturbation approach without taking into account the end effect of magnetic fields to find an analytical solution of those kinds of the problems,it is found that only buckling model is deduced out for the magneto-elastic deflection.All these indicate that the end effect of magnetic field should be considered in the perturbation approach when we find characteristics of deflection of ferromagnetic beam-plate in an oblique magnetic field.After that,according to the formula of equivalent transverse magnetic force obtained in this paper,we can give an explanation why the configuration of the ferromagnetic beam-plate with simple supports is two semi-waves in oblique magnetic fields.