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阶梯式矩形板的振动
引用本文:张英世 蒋持平. 阶梯式矩形板的振动[J]. 应用力学学报, 1998, 15(4): 109-115
作者姓名:张英世 蒋持平
作者单位:北京航空航天大学
摘    要:用奇异函数建立阶梯式矩形板自由振动和强迫振动的微分方程并求得其通解,用W算子给出振型函数的表达式及常见支承条件下板的频率方程,本文解可用于多种边界条件的板。

关 键 词:阶梯式矩形板;自由振动;频率方程;强迫振动响应

Vibrations of Rectangular Stepped Plates
Zhang Yingshi Jiang Chiping. Vibrations of Rectangular Stepped Plates[J]. Chinese Journal of Applied Mechanics, 1998, 15(4): 109-115
Authors:Zhang Yingshi Jiang Chiping
Abstract:Differential equations of free/forced vibrations of rectangular stepped plates are established by using singular functions, their general solutions are solved for expression of vibration mode function and frequency equations on usual supports derived with W operator. Conclusions of this paper may be suited for plates with different boundary conditions.
Keywords:rectangular stepped plate   free vibration   frequency equation   forced response.
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