西安建筑科技大学学报(自然科学版)
西安建築科技大學學報(自然科學版)
서안건축과기대학학보(자연과학판)
JOURNAL OF XI'AN UNIVERSITY OF ARCHITECTURE & TECHNOLOGY
2006年
4期
533-537
,共5页
熊二刚%王社良%张倩%丁怡洁
熊二剛%王社良%張倩%丁怡潔
웅이강%왕사량%장천%정이길
屈曲%磁场%铁磁弹性板%临界值%线磁弹性
屈麯%磁場%鐵磁彈性闆%臨界值%線磁彈性
굴곡%자장%철자탄성판%림계치%선자탄성
buckling%magnetic field%ferromagnetic elastic plate%critical value%linear magnetoelasticity
研究了铁磁弹性板在均匀磁场中的屈曲问题.当外磁场垂直作用于板面时,在线磁弹性理论的框架上,建立了板的平衡方程,结合相应的边界条件,求解了平衡微分方程.接着讨论了板发生两种变形(反对称和对称变形)时的屈曲,并得到了屈曲时的临界磁场值.比较两种变形的临界磁场值,其结果表明对称变形时的屈曲磁感应强度高于反对称变形的磁感应强度.
研究瞭鐵磁彈性闆在均勻磁場中的屈麯問題.噹外磁場垂直作用于闆麵時,在線磁彈性理論的框架上,建立瞭闆的平衡方程,結閤相應的邊界條件,求解瞭平衡微分方程.接著討論瞭闆髮生兩種變形(反對稱和對稱變形)時的屈麯,併得到瞭屈麯時的臨界磁場值.比較兩種變形的臨界磁場值,其結果錶明對稱變形時的屈麯磁感應彊度高于反對稱變形的磁感應彊度.
연구료철자탄성판재균균자장중적굴곡문제.당외자장수직작용우판면시,재선자탄성이론적광가상,건립료판적평형방정,결합상응적변계조건,구해료평형미분방정.접착토론료판발생량충변형(반대칭화대칭변형)시적굴곡,병득도료굴곡시적림계자장치.비교량충변형적림계자장치,기결과표명대칭변형시적굴곡자감응강도고우반대칭변형적자감응강도.
The problem of buckling of a ferromagnetic elastic plate is investigated in a uniform magnetic field within the framework of linear magnetoelasticity. The magnetic field is perpendicular to the plate plane. The equilibrium equations are established in this paper. Combined with the corresponding boundaries, these differential equations are solved. Then the critical values, at which the plate buckles, are obtained and discussed for the two kinds of deformations, antisymmetric and symmetric, of this plate. It is indicated that the buckling magnetic induction for the symmetric mode is much higher than that for the antisymmetric mode.