Topology Optimization for Nonlinear Kirchhoff Plate Using RKPM
In this paper, the topology optimization of nonlinear Kirchhoff plate was studied by using meshless Reproducing Kernel Particle Method (RKPM). The relative densities of nodes were chosen as design variables to eliminate the checkerboard pattern, and the visibility criterion method was used to dispose the discontinuity of RKPM approximation function in the nonlinear Kirchhoff plate. The topology optimization model of nonlinear Kirchhoff plate based on RKPM was developed, and the topology optimization procedure was given in detail. Finally, all the Matlab programs were written, and one numerical example shows the advantage of the present method.
Dongye Sun, Wen-Pei Sung and Ran Chen
J. P. Zhang et al., "Topology Optimization for Nonlinear Kirchhoff Plate Using RKPM", Applied Mechanics and Materials, Vols. 121-126, pp. 545-549, 2012