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两边受拉压的矩形薄板的振动
引用本文:张英世.两边受拉压的矩形薄板的振动[J].北京航空航天大学学报,1999,25(1):64-67.
作者姓名:张英世
作者单位:北京航空航天大学,飞行器设计与应用力学系
摘    要:建立x=0与x=a两对边简支并受拉(压),另两对边对任意支承的矩形薄板自由振动和强迫振动的微分方程并求得其通解,给出了振型函数及常见支承条件下板的频率方程,对各种情况下的影响函数进行详细的讨论,文中给出了固有频率表达式表明,面内均布拉(压)力对固有频率的大小有影响,本文的数值结果与有关文献相比,验证了这一论断。

关 键 词:矩形板  自由振动  强迫振动  响应
修稿时间:: 1997-10-

Vibrations of Thin Rectangular Plates under Tension/Compression along Two Opposite Edges
Zhang Yingshi.Vibrations of Thin Rectangular Plates under Tension/Compression along Two Opposite Edges[J].Journal of Beijing University of Aeronautics and Astronautics,1999,25(1):64-67.
Authors:Zhang Yingshi
Abstract:Differential equations of free/forced vibrations of thin rectangular plates those for simply supported and subjected to in plane tension/compression force N x at sides of x=0 and x=a , and arbitrary supported at the other two edges are established their general solutions solved for, expression of vibration mode function and frequency equations on usual supports derived. Influence functions for various cases are discussed in some detail. The expression of frequency given here denotes that frequencies of plates are influenced by in plane tensive/compressive force. Conclusions here are verified in numerical results with that in Literature.
Keywords:rectangular slabs  free vibration  forced vibration  responses
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