振动工程学报
振動工程學報
진동공정학보
JOURNAL OF VIBRATION ENGINEERING
2015年
2期
197-202
,共6页
董宇%杨翊仁%鲁丽
董宇%楊翊仁%魯麗
동우%양익인%로려
叠层板%轴向流%横向振动%屈曲失稳%微分求积法
疊層闆%軸嚮流%橫嚮振動%屈麯失穩%微分求積法
첩층판%축향류%횡향진동%굴곡실은%미분구적법
parallel plates%axial flow%transverse vibration%buckling instability%differential quadrature method
分析了轴向流作用下两端简支和固支叠层板的稳定性和模态特性。基于势流理论建立轴向流作用下叠层板的流固耦合系统连续型运动方程,采用微分求积法对连续型运动方程进行离散,流场势函数用板的横向振动位移变量来表示,得到关于叠层板的横向振动位移变量的控制方程。求解控制方程的广义特征值,计算分析结果表明,两端简支和两端固支模型发生屈曲失稳,且得到了屈曲失稳临界速度与叠层板的层数和板间距的关系;轴向流作用下叠层板的一阶模态并不是叠层板的同相弯曲模态。
分析瞭軸嚮流作用下兩耑簡支和固支疊層闆的穩定性和模態特性。基于勢流理論建立軸嚮流作用下疊層闆的流固耦閤繫統連續型運動方程,採用微分求積法對連續型運動方程進行離散,流場勢函數用闆的橫嚮振動位移變量來錶示,得到關于疊層闆的橫嚮振動位移變量的控製方程。求解控製方程的廣義特徵值,計算分析結果錶明,兩耑簡支和兩耑固支模型髮生屈麯失穩,且得到瞭屈麯失穩臨界速度與疊層闆的層數和闆間距的關繫;軸嚮流作用下疊層闆的一階模態併不是疊層闆的同相彎麯模態。
분석료축향류작용하량단간지화고지첩층판적은정성화모태특성。기우세류이론건립축향류작용하첩층판적류고우합계통련속형운동방정,채용미분구적법대련속형운동방정진행리산,류장세함수용판적횡향진동위이변량래표시,득도관우첩층판적횡향진동위이변량적공제방정。구해공제방정적엄의특정치,계산분석결과표명,량단간지화량단고지모형발생굴곡실은,차득도료굴곡실은림계속도여첩층판적층수화판간거적관계;축향류작용하첩층판적일계모태병불시첩층판적동상만곡모태。
The stability and dynamics of the parallel plates with simply supported (or clamped)boundary conditions in uniform axial flow were studied.Flow viscosity and elastic damping are neglected,and the flow around the plates is assumed potential. The governing equations of coupled parallel flexible plates in axial flow were derived.The differential quadrature method was employed to discrete the governing equation and the flow potential function.The governing equation can be expressed as the function of structural transverse vibration displacement by the matrix operations.The eigenvalue method was used to analyze the results of the coupled parallel flexible plates,the results of which show that the models with simply supported (or clamped)boundary conditions undergo buckling instability when flow velocity reaches the critical value.The effects of their rel-ative distance and the number of plates on critical flow velocities were discussed.The first mode of the coupled parallel flexible plates is not the in-phase mode.