摘要
建立ｘ＝０与ｘ＝ａ两对边简支并受拉（压）、另两对边为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．文中给出的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．
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.
出处
《北京航空航天大学学报》
EI
CAS
CSCD
北大核心
1999年第1期64-67,共4页
Journal of Beijing University of Aeronautics and Astronautics
关键词
矩形板
自由振动
强迫振动
响应
简支板
rectangular slabs
free vibration
forced vibration
responses
