节点文献
一类矩形厚板的振动分析
The Vibration Analysis of One Type of Rectangular Mindlin Plate
【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.
【Abstract】 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.
【Key words】 Rayleigh-Ritz method; Mindlin plate theory; DSC;
- 【文献出处】 江南大学学报(自然科学版) ,Journal of Jiangnan University(Natural Science Edition) , 编辑部邮箱 ,2007年04期
- 【分类号】TH113.1
- 【被引频次】2
- 【下载频次】96