环板横向振动分析的三结点有限单元法  

Three-Node Finite Element Method for Axisymmetric Vibration Analysis of Annular Plates

作　　者：李志毅[1] 陈殿云[1] 雷旭升[1] 

机构地区：[1]洛阳工学院建筑工程系,河南洛阳471003

出　　处：《洛阳工学院学报》2002年第3期37-40,共4页Journal of Luoyang Institute of Technology

基　　金：河南省自然科学基金资助项目 (0 0 40 5 170 0 )

摘　　要：构造了三结点六个自由度的环形单元 ,然后采用有限元法计算了中间有环形简支的各向异性环板在各种边界条件下的轴对称横向振动频率。计算表明此种有限单元法效率高和收敛性好 ,可以方便地计算环形简支处在板的不同位置处的各向异性环形板的振动频率及振型。所计算出的前几阶固有频率与目前常用的Rayleigh法计算结果相比 。After structuralization of three node annular element with six degree of freedom,the axisymmetric vibration frequency of anisotropic annular plates with an intermediate concentric circular support is calculated with finite element method.The calculation showed that the method is high in efficiency and good in convergence,an is convenient to calculate the natural frenquencies and mode shapes of isotropic or anisotropic annular plates.Comparison with present methods proved that first froquencies obtained by this method are very accurate.

关 键 词：环板 横向振动 结点 有限单元法 频率 振型 Rayleigh法 

分 类 号：TH113.1[机械工程—机械设计及理论]