caa a22 4500 445811285 CHVBK 20180317145212.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s00419-009-0392-0 doi (NATIONALLICENCE)springer-10.1007/s00419-009-0392-0 A smoothed Hermite radial point interpolation method for thin plate analysis [Elektronische Daten] [Xiangyang Cui, Guirong Liu, Guangyao Li] A smoothed Hermite radial point interpolation method using gradient smoothing operation is formulated for thin plate analysis. The radial basis functions augmented with polynomial basis are used to construct the shape functions that have the important Delta function property. The smoothed Galerkin weakform is adopted to discretize the governing partial differential equations, and a curvature smoothed operation is developed to relax the continuity requirement and achieve accurate bending solutions. The approximation based on both deflection and rotation variables make the proposed method very effective in enforcing the essential boundary conditions. The effects of different numbers of sub-smoothing-domains created based on the triangular background cell are investigated in detail. A number of numerical examples have been studied and the results show that the present method is very stable and accurate even for extremely irregular background cells. Springer-Verlag, 2009 Numerical methods nationallicence Meshfree methods nationallicence Radial point interpolation method nationallicence Thin plate nationallicence Gradient smoothing operation nationallicence Cui Xiangyang State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, 410082, Changsha, People's Republic of China aut Liu Guirong State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, 410082, Changsha, People's Republic of China aut Li Guangyao Department of Mechanical Engineering, Centre for Advanced Computations in Engineering Science (ACES), National University of Singapore, 9 Engineering Drive 1, 117576, Singapore, Singapore aut Archive of Applied Mechanics Springer-Verlag 81/1(2011-01-01), 1-18 0939-1533 81:1<1 2011 81 419 https://doi.org/10.1007/s00419-009-0392-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-009-0392-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cui Xiangyang State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, 410082, Changsha, People's Republic of China aut NATIONALLICENCE 700 1- Liu Guirong State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, 410082, Changsha, People's Republic of China aut NATIONALLICENCE 700 1- Li Guangyao Department of Mechanical Engineering, Centre for Advanced Computations in Engineering Science (ACES), National University of Singapore, 9 Engineering Drive 1, 117576, Singapore, Singapore aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/1(2011-01-01), 1-18 0939-1533 81:1<1 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer