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

Level Set Topology Optimization for Design Dependent Hydrostatic Loading Using the Reproducing Kernel Particle Method

2019 ◽  
Author(s):  
Andreas Neofytou ◽  
Renato Picelli ◽  
Jiun-Shyan Chen ◽  
Hyunsun Alicia Kim
Keyword(s):  
Topology Optimization ◽  
Hydrostatic Pressure ◽  
Level Set ◽  
Reproducing Kernel ◽  
Particle Method ◽  
Reproducing Kernel Particle Method ◽  
Structure Changes ◽  
Main Challenge ◽  
Design Dependent Loads ◽  
Reproducing Kernel Particle

Abstract Level set topology optimization for the design of structures subjected to design dependent hydrostatic loads is considered in this paper. Problems involving design-dependent loads remain a challenge in the field of topology optimization. In this class of problems, the applied loads depend on the structure itself. The direction, location and magnitude of the loads may change as the shape of the structure changes throughout optimization. The main challenge lies in determining the surface on which the load will act. In this work, the reproducing kernel particle method (RKPM) is used in combination with the level set method to handle the dependence of loading by moving the particles on the structural boundary throughout the optimization process. This allows for the hydrostatic pressure loads to be applied directly on the evolving boundary. One-way fluid-structure coupling is considered here. A hydrostatic pressure field governed by Laplace’s equation is employed to compute the pressure acting on linear elastic structures. The objective in this optimization problem is to minimize compliance of these structures. Numerical results show good agreement with those in the literature.

Topology Optimization for Nonlinear Kirchhoff Plate Using RKPM

2011 ◽  
Vol 121-126 ◽  
pp. 545-549 ◽  
Author(s):  
Jian Ping Zhang ◽  
Yan Kun Jiang ◽  
Shu Guang Gong ◽  
Xin Liu
Keyword(s):  
Topology Optimization ◽  
Reproducing Kernel ◽  
Optimization Procedure ◽  
Particle Method ◽  
Kirchhoff Plate ◽  
Checkerboard Pattern ◽  
Reproducing Kernel Particle Method ◽  
Design Variables ◽  
Reproducing Kernel Particle ◽  
Criterion Method

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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