一类矩形厚板的振动分析  

The Vibration Analysis of One Type of Rectangular Mindlin Plate

作　　者：侯云山[1] 刘维龙[2] 

机构地区：[1]湛江师范学院数学与计算科学学院,广东湛江524048 [2]江南大学理学院,江苏无锡214122

出　　处：《江南大学学报（自然科学版）》2007年第4期487-490,共4页Joural of Jiangnan University (Natural Science Edition)　

基　　金：广东省自然科学基金项目(04011425);湛江师范学院重点科研项目

摘　　要：运用离散奇异卷积方法对基于Mindlin剪切变形理论的具有纵向中心线内部支撑的矩形厚板,进行自由振动分析.此方法采用Gauss delta序列核作为基函数,并结合pb-2 Rayleigh-Ritz方法的边界函数得到一种新型的Ritz方法.数值结果表明,此方法精确有效.The paper presents a new method for the free vibration analysis of thick rectangular plates with internal transverse line supports based on Mindlin shear deformation theory. The proposed method introduces DSC delta sequence kernels as basis functions and takes the advantage of the pb-2 Rayleigh-Ritz boundary function to get a new version Ritz method. The performance of the proposed method is carefully validated by convergence and comparison analyses. The numerical results indicate that the proposed method is very efficient and accurate. The frequency parameters obtained agree very well with those in the literature.

关 键 词：Rayleigh-Ritz方法 MINDLIN板理论 离散奇异卷积 

分 类 号：TU378.4[建筑科学—结构工程]