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Thin plate spline radial basis function for the free vibration analysis of laminated composite shells |
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| Authors: | Song Xiang Ze-yang Bi Shao-xi Jiang Yao-xing Jin Ming-sui Yang |
| Affiliation: | 1. School of Power and Energy Engineering, Shenyang Aerospace University, No. 37 Daoyi South Avenue, Shenyang, Liaoning 110136, People’s Republic of China;2. Steel-Making Plant, ShouGang Qian’an Iron & Steel Corporation Ltd., Qian’an, Hebei 064400, People’s Republic of China;3. Manufacturing Factory of Blade, Avic Shenyang Liming Aero-Engine (Group) Corporation Ltd., Shenyang, Liaoning 110043, People’s Republic of China;4. Technology Department, Avic Shenyang Liming Aero-Engine (Group) Corporation Ltd., Shenyang, Liaoning 110043, People’s Republic of China |
| Abstract: | 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 basis function is eliminated by adding infinitesimal to the zero distance. Several numerical examples are used to show convergence of the present method and choose the proper shape parameter. It is found that the natural frequencies computed by thin plate spline radial basis function with shape parameter m = 4 converge most rapidly. In the comparison study, the present results are in good agreement with the results of Reddy and Liu [8] and Ferreira et al. [21]. |
| Keywords: | Thin plate spline Radial basis function Meshless Free vibration Laminated composite shell |
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