TY - JOUR
T1 - A semi-analytical element-free galerkin method for the 3D free vibration analysis of multilayered FGM circular hollow cylinders
AU - Wu, Chih Ping
AU - Yang, Shih Wei
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2011/11
Y1 - 2011/11
N2 - A semi-analytical element-free Galerkin (EFG) method in conjunction with an earlier proposed differential reproducing kernel (DRK) interpolation is developed for the three-dimensional (3D) free vibration analysis of simply supported, multilayered composite and functionally graded material (FGM) circular hollow cylinders. Based on the Reissner's mixed variational theorem (RMVT), the weak formulation of this 3D dynamic problem is derived, in which the material properties of each individual FGM layer are assumed to obey the power-law distributions of the volume fractions of the constituents through the thickness coordinate of the layer. A parametric study of the influence of some geometric and material parameters, such as the radius-to-thickness and length-to-radius ratios, thickness ratio for each layer, and material-property gradient index, on the natural frequency parameters of multilayered FGM circular hollow cylinders is undertaken.
AB - A semi-analytical element-free Galerkin (EFG) method in conjunction with an earlier proposed differential reproducing kernel (DRK) interpolation is developed for the three-dimensional (3D) free vibration analysis of simply supported, multilayered composite and functionally graded material (FGM) circular hollow cylinders. Based on the Reissner's mixed variational theorem (RMVT), the weak formulation of this 3D dynamic problem is derived, in which the material properties of each individual FGM layer are assumed to obey the power-law distributions of the volume fractions of the constituents through the thickness coordinate of the layer. A parametric study of the influence of some geometric and material parameters, such as the radius-to-thickness and length-to-radius ratios, thickness ratio for each layer, and material-property gradient index, on the natural frequency parameters of multilayered FGM circular hollow cylinders is undertaken.
UR - https://www.scopus.com/pages/publications/83455235277
UR - https://www.scopus.com/pages/publications/83455235277#tab=citedBy
U2 - 10.1177/1045389X11421822
DO - 10.1177/1045389X11421822
M3 - Article
AN - SCOPUS:83455235277
SN - 1045-389X
VL - 22
SP - 1993
EP - 2007
JO - Journal of Intelligent Material Systems and Structures
JF - Journal of Intelligent Material Systems and Structures
IS - 17
ER -