首页> 外文会议>ASME biennial conference on engineering systems design and analysis;ESDA2010 >LARGE AMPLITUDE FREE VIBRATION ANALYSIS OF THIN ANNULAR SECTOR PLATES USING DIFFERENTIAL QUADRATURE METHOD
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LARGE AMPLITUDE FREE VIBRATION ANALYSIS OF THIN ANNULAR SECTOR PLATES USING DIFFERENTIAL QUADRATURE METHOD

机译:用微分求积法分析薄壁扇形板的大振幅自由振动

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摘要

In this paper, the Differential Quadrature Method (DQM) is used to study the large amplitude free vibration of thin annular sector plates. The geometrical nonlinear governing equations of motion are derived based on the classical plate theory and using the von Karman nonlinear strain-displacement relationships. Following the DQ-procedure and employing the concept of new degrees of freedom a nonlinear eigenvalue problem is obtained which is solved iteratively and nonlinear natural frequencies of the plate are obtained. The results show a very good convergence and they are compared with the available literature for the clamped boundary conditions to demonstrate the validity of the work. The effects of boundary conditions, inner to outer radius ratio and sector angle on the large amplitude free vibration of thin plate are studied.
机译:本文采用差分正交方法(DQM)研究薄环形扇形板的大振幅自由振动。基于经典板理论并利用von Karman非线性应变-位移关系推导了运动的几何非线性控制方程。遵循DQ程序并采用新的自由度概念,获得了非线性特征值问题,该问题可以迭代求解,并获得了板的非线性固有频率。结果显示出很好的收敛性,并将其与可获取的边界条件文献进行了比较,以证明这项工作的有效性。研究了边界条件,内外半径比和扇形角对薄板大振幅自由振动的影响。

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