Topology Optimization for Nonlinear Kirchhoff Plate Using RKPM

Jian Ping Zhang; Yan Kun Jiang; Shu Guang Gong; Xin Liu

doi:10.4028/www.scientific.net/AMM.121-126.545

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 121-126Topology Optimization for Nonlinear Kirchhoff...

Topology Optimization for Nonlinear Kirchhoff Plate Using RKPM

Abstract:

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.

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Periodical:

Applied Mechanics and Materials (Volumes 121-126)

Pages:

545-549

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.121-126.545

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Online since:

October 2011

Authors:

Jian Ping Zhang, Yan Kun Jiang, Shu Guang Gong, Xin Liu

Keywords:

Nodal Relative Density, Nonlinear Kirchhoff Plate, RKPM, Topology Optimization, Visibility Criterion

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