𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A meshless local radial point collocation method for free vibration analysis of laminated composite plates

✍ Scribed by Song Xiang; Guang-chao Li; Wei Zhang; Ming-sui Yang


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
209 KB
Volume
93
Category
Article
ISSN
0263-8223

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper, a meshless local radial point collocation method based on multiquadric radial basis function is proposed to analyze the free vibration of laminated composite plates. This method approximates the governing equations based on first-order shear deformation theory using the nodes in the support domain of any data center. Natural frequencies of the laminated composite plates with various boundary conditions, side-to-thickness ratios, and material properties are computed by present method. The choice of shape parameter, effect of dimensionless sizes of the support domain on accuracy, convergence characteristics are studied by several numerical examples. The results are compared with available published results which demonstrate the accuracy and efficiency of present method.


πŸ“œ SIMILAR VOLUMES


Thin plate spline radial basis function
✍ Song Xiang; Ze-yang Bi; Shao-xi Jiang; Yao-xing Jin; Ming-sui Yang πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 459 KB

In this paper, the free vibration characteristics of laminated composite cylindrical and spherical shells are analyzed by the first-order shear deformation theory and a meshless global collocation method based on thin plate spline radial basis function. The singularity of thin plate spline radial ba

A LOCAL RADIAL POINT INTERPOLATION METHO
✍ G.R. LIU; Y.T. GU πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 399 KB

A local radial point interpolation method (LRPIM) is presented to deal with boundary-value problems for free vibration analyses of two-dimensional solids. Local weak forms are developed using weighted residual method locally from the partial di!erential equation of free vibration. A technique to con