Topology optimization of 3D structures with design-dependent loads

2010 ◽  
Vol 26 (5) ◽  
pp. 767-775 ◽  
Author(s):  
Hui Zhang ◽  
Shu-Tian Liu ◽  
Xiong Zhang
Keyword(s):  
Topology Optimization ◽  
3D Structures ◽  
Design Dependent Loads

scholarly journals TOPOLOGY OPTIMIZATION OF 3D STRUCTURES USING IMPROVED ESO METHOD

2016 ◽  
Vol 81 (723) ◽  
pp. 851-858 ◽  
Author(s):  
Yohei NIIUCHI ◽  
Shinya MATSUMOTO ◽  
Daiji FUJII
Keyword(s):  
Topology Optimization ◽  
3D Structures

A Density Gradient Approach to Topology Optimization Under Design-Dependent Boundary Loading

2018 ◽  
Author(s):  
Cunfu Wang ◽  
Xiaoping Qian
Keyword(s):  
Topology Optimization ◽  
Density Gradient ◽  
Optimization Method ◽  
Spatial Gradient ◽  
Computationally Efficient ◽  
Physical Density ◽  
Gradient Based ◽  
Design Dependent Loads ◽  
Previous Iteration ◽  
Gradient Approach

The paper proposes a density gradient based approach to topology optimization under design-dependent boundary loading. In the density-based topology optimization method, we impose the design dependent loads through spatial gradient of the density. We transform design-dependent boundary loads into a volume form through volume integral of density gradient. In many applications where loadings only need to be exerted on partial boundary, we introduce an auxiliary loading density to keep track of the loading boundary. During the optimization, the loading density is updated by tracking the changes of the physical density in the vicinity of the loading boundary at previous iteration. The proposed approach is easy to implement and computationally efficient. In addition, by adding more auxiliary density fields, the proposed approach is applicable to multiple design-dependent loads. To prevent the intersection of different loading boundaries, a Heaviside projection based integral constraint is developed. Both heat conduction problems under convection loading and elastic problems under hydrostatic pressure loading are presented to illustrate the effectiveness and efficiency of the method.

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.

Sign in / Sign up

Export Citation Format

Share Document