The meshless analysis of elastic dynamic problem based on radial basis reproducing kernel particle method

2020 ◽  
Vol 139 ◽  
pp. 106340
Author(s):  
Shaopeng Qin ◽  
Gaofeng Wei ◽  
Bingtao Tang
Keyword(s):  
Dynamic Problem ◽  
Reproducing Kernel ◽  
Particle Method ◽  
Reproducing Kernel Particle Method ◽  
Radial Basis ◽  
Reproducing Kernel Particle

The Meshfree Analysis of Geometrically Nonlinear Problem Based on Radial Basis Reproducing Kernel Particle Method

2020 ◽  
Vol 12 (04) ◽  
pp. 2050044 ◽  
Author(s):  
Zheng Liu ◽  
Gaofeng Wei ◽  
Zhiming Wang ◽  
Jinwei Qiao
Keyword(s):  
Nonlinear Problem ◽  
Reproducing Kernel ◽  
Particle Method ◽  
Kernel Functions ◽  
Geometrically Nonlinear ◽  
Reproducing Kernel Particle Method ◽  
Computational Accuracy ◽  
Penalty Factor ◽  
Radial Basis ◽  
Reproducing Kernel Particle

Based on the reproducing kernel particle method (RKPM) and the radial basis function (RBF), the radial basis reproducing kernel particle method (RRKPM) is presented for solving geometrically nonlinear problems. The advantages of the presented method are that it can eliminate the negative effect of diverse kernel functions on the computational accuracy and has greater computational accuracy and better convergence than the RKPM. Using the weak form of Galerkin integration and the Total Lagrangian (T.L.) formulation, the correlation formulae of the RRKPM for geometrically nonlinear problem are obtained. Newton–Raphson (N-R) iterative method is utilized in the process of numerical solution. Moreover, penalty factor, the scaling parameter, the shaped parameter of the RBF and loading step number are discussed. To prove validity of the proposed method, several numerical examples are simulated and compared to finite element method (FEM) solutions.

scholarly journals Level set topology optimization with nodally integrated reproducing kernel particle method

2021 ◽  
Vol 385 ◽  
pp. 114016
Author(s):  
Andreas Neofytou ◽  
Tsung-Hui Huang ◽  
Sandilya Kambampati ◽  
Renato Picelli ◽  
Jiun-Shyan Chen ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Reproducing Kernel ◽  
Particle Method ◽  
Reproducing Kernel Particle Method ◽  
Reproducing Kernel Particle
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