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在横向稳恒磁场和载荷共同作用下,以磁弹性薄板的振动方程为基础,利用谐波平衡法研究了对边简支对边固支矩形薄板的非线性振动特性;推导出了频率响应方程,并分析了其频率响应特性;讨论了矩形薄板的非线性因素的影响,得出了在对横向稳恒磁场和载荷共同作用下的矩形薄板进行设计、计算分析时其几何非线性因素忽略的条件。只有在各参数满足此条件时才可以不考虑横向稳恒磁场和载荷共同作用下该矩形薄板的几何非线性因素的影响。
Based on the vibrational equation of the magneto-elastic thin plate, the nonlinear vibration characteristics of the thin-walled plate with oppositely clamped sides are studied by using the harmonic balance method under the combined transverse steady magnetic field and the load. The frequency response equation The influence of the nonlinear factor of the rectangular thin plate is discussed. The design of the rectangular thin plate under the interaction of the transverse steady magnetic field and the load is obtained. The geometric nonlinearity of the thin plate is neglected in the calculation and analysis condition. Only when all the parameters satisfy this condition can the influence of the geometrical non-linearity of the rectangular thin plate be neglected under the combination of the transversely-stable magnetic field and the load.