Sustainable Design-Oriented Level Set Topology Optimization

2016 ◽  
Vol 139 (1) ◽  
Author(s):  
Jikai Liu ◽  
Yongsheng Ma
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Sustainable Design ◽  
Product Family ◽  
Optimization Method ◽  
Necessary Condition ◽  
Topology Optimization Problem ◽  
Sustainability Issue ◽  
Subtractive Machining ◽  
Topology Optimization Method

This paper presents a novel sustainable design-oriented level set topology optimization method. It addresses the sustainability issue in product family design, which means an end-of-life (EoL) product can be remanufactured through subtractive machining into another lower-level model within the product family. In this way, the EoL product is recycled in an environmental-friendly and energy-saving manner. Technically, a sustainability constraint is proposed that the different product models employ the containment relationship, which is a necessary condition for the subtractive remanufacturing. A novel level set-based product family representation is proposed to realize the containment relationship, and the related topology optimization problem is formulated and solved. In addition, spatial arrangement of the input design domains is explored to prevent highly stressed material regions from reusing. Feature-based level set concept for sustainability is then used. The novelty of the proposed method is that, for the first time, the product lifecycle issue of sustainability is addressed by a topology optimization method. The effectiveness of the proposed method is proved through a few numerical examples.

Design of Mechanical Structures Considering Harmonic Loads Using Level Set-Based Topology Optimization

2012 ◽  
Author(s):  
Takayuki Yamada ◽  
Toshiro Matsumoto ◽  
Shinji Nishiwaki
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Design Method ◽  
Optimization Method ◽  
Adjoint Equations ◽  
Topology Optimization Problem ◽  
Level Set Function ◽  
Elastic Design ◽  
Objective Functional ◽  
Topology Optimization Method

This paper presents an optimum design method for mechanical structures considering harmonic loads using a level set-based topology optimization method and the Finite Element Method (FEM). First, we briefly discuss the level set-based topology optimization method. Second, a topology optimization problem is formulated for a dynamic elastic design problem using level set boundary expressions. The objective functional is set to minimize the displacement at specific boundaries. Based on this formulation, the topological sensitivities of the objective functional are derived. Next, a topology optimization algorithm is proposed that uses the FEM to solve the equilibrium and adjoint equations, and when updating the level set function. Finally, several numerical examples are provided to confirm the validity and utility of the proposed method.

Displacement and Stress Constrained Topology Optimization

2013 ◽  
Author(s):  
Meisam Takalloozadeh ◽  
Krishnan Suresh
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Topology Optimization ◽  
Level Set ◽  
Numerical Experiments ◽  
Optimization Method ◽  
Stress Constraints ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Topology Optimization Method

The objective of this paper is to demonstrate a topology optimization method subject to displacement and stress constraints. The method does not rely on pseudo-densities; instead it exploits the concept of topological level-set where ‘partial’ elements are avoided. Consequently: (1) the stresses are well-defined at all points within the evolving topology, and (2) the finite-element analysis is robust and efficient. Further, in the proposed method, a series of topologies of decreasing volume fractions are generated in a single optimization run. The method is illustrated through numerical experiments in 2D.

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