磁场中矩形薄板的强迫振动分析  

Forced vibration of thin rectangular plate in magnetic field

作　　者：任兴利[1] 胡宇达[1] 

机构地区：[1]燕山大学建筑工程与力学学院,河北秦皇岛066004

出　　处：《磁性材料及器件》2011年第6期24-26,共3页Journal of Magnetic Materials and Devices

基　　金：河北省自然科学基金资助项目(E2010001254)

摘　　要：给出了磁场中矩形导电薄板的磁弹性振动基本方程和电磁力表达式。针对横向恒定磁场中四边固支和对边固支对边简支边界约束矩形板的磁弹性振动问题进行了分析。基于位移函数的设定并应用伽辽金法,推得了导电板的磁弹性强迫振动微分方程。通过数值计算,得到了两种边界约束条件下薄板磁弹性振动的幅频曲线和时程响应曲线,阐明了磁感应强度和边界条件对系统振动特性的影响。The vibration equations and electromagnetic forces of thin rectangular conductive plate in the magnetic field were given. A magneto-elastic vibration problem for rectangular plate, which is fixed along four sides or simply-supported at one pair of sides and fixed at another pair of sides in transverse magnetic field, was investigated. By use of the assumption of displacement function and Galerkin method, the magneto-elastic differential equation of forced vibration was derived. By numerical method, the amplitude-frequency resonance ＇and time-history response were obtained, and the influences of magnetic induction and boundary conditions on vibration characteristics were discussed.

关 键 词：磁弹性 矩形板 振动 电磁场 伽辽金法 

分 类 号：O347[理学—固体力学] O322[理学—力学]