scholarly journals Large Scale Topology Optimization Using Preconditioned Krylov Subspace Recycling and Continuous Approximation of Material Distribution

2008 ◽  
Author(s):  
Eric de Sturler ◽  
Chau Le ◽  
Shun Wang ◽  
Glaucio Paulino ◽  
Glaucio H. Paulino ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Large Scale ◽  
Krylov Subspace ◽  
Continuous Approximation ◽  
Material Distribution ◽  
Subspace Recycling

Adjoint-based topology optimization to reduce the energy consumption of a Hall effect thruster

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Rtimi Youness ◽  
Frederic Messine
Keyword(s):  
Topology Optimization ◽  
Energy Consumption ◽  
Hall Effect ◽  
Design Problem ◽  
Design Methodology ◽  
Large Scale ◽  
Material Distribution ◽  
Original Design ◽  
Content Type ◽  
Hall Effect Thruster

Purpose The presented study aims to minimize the energy consumed by a Hall effect thruster (HET) under a constraint which makes it possible to generate a specified magnetic field in a target region of the thruster. Design/methodology/approach Herein topology optimization (TO) is used to reduce the energy consumption of an HET while keeping its performance unchanged. The design variables are the current densities in the coils and the distribution of materials in the polar pieces of the thruster. Intermediate values of material distribution are penalized using the solid isotropic material with penalization method to favor binary solutions. By means of the adjoint method, this paper provides the derivatives of the objective and constraint functions with respect to material distribution and current density variables. Findings The TO-based design methodology is developed and validated on a design example involving 2,051 variables. The approach shows its interest and its effectiveness of on a large scale two-criteria problem. Research limitations/implications In this paper, TO is presented as a tool that has allowed to explore new and innovative designs. However, although the design presented is original, its fabrication is not feasible. Despite this, the designs found give a good idea of the starting points for shape and parametric optimization tools. Practical implications Through the HET design problem, TO shows the ability to explore more original design possibilities of a complex magnetostatic design problem and to discover designs that make a HET more efficient with respect to several criteria at the same time. Originality/value A new way to reduce the energy consumption of a HET is presented. To achieve this, an adjoint-based TO method is developed and then implemented in a simple way. This approach shows that, for efficiency purposes, TO is a key tool for extending the state of the art of HET designs.

Comparative Studies of Topology Optimization Using Continuous Approximation of Material Distribution

2006 ◽  
Vol 30 (2) ◽  
pp. 164-170 ◽  
Author(s):  
Young-Seok Lim ◽  
Jeong-Hoon Yoo ◽  
Kenjiro Terada ◽  
Shin-Ji Nishiwaki ◽  
Seung-Jae Min
Keyword(s):  
Topology Optimization ◽  
Comparative Studies ◽  
Continuous Approximation ◽  
Material Distribution

scholarly journals Multi-GPU acceleration of large-scale density-based topology optimization

2021 ◽  
Vol 157-158 ◽  
pp. 103006
Author(s):  
David Herrero-Pérez ◽  
Pedro J. Martínez Castejón
Keyword(s):  
Topology Optimization ◽  
Large Scale ◽  
Gpu Acceleration

scholarly journals A Shape Optimization Method for Part Design Derived from the Buildability Restrictions of the Directed Energy Deposition Additive Manufacturing Process

Designs ◽  
2020 ◽  
Vol 4 (3) ◽  
pp. 19
Author(s):  
Andreas K. Lianos ◽  
Harry Bikas ◽  
Panagiotis Stavropoulos
Keyword(s):  
Topology Optimization ◽  
Additive Manufacturing ◽  
Energy Deposition ◽  
Design Method ◽  
Current Trend ◽  
Internal Stresses ◽  
Material Distribution ◽  
Load Case ◽  
Design Elements ◽  
Industrial Sectors

The design methodologies and part shape algorithms for additive manufacturing (AM) are rapidly growing fields, proven to be of critical importance for the uptake of additive manufacturing of parts with enhanced performance in all major industrial sectors. The current trend for part design is a computationally driven approach where the parts are algorithmically morphed to meet the functional requirements with optimized performance in terms of material distribution. However, the manufacturability restrictions of AM processes are not considered at the primary design phases but at a later post-morphed stage of the part’s design. This paper proposes an AM design method to ensure: (1) optimized material distribution based on the load case and (2) the part’s manufacturability. The buildability restrictions from the direct energy deposition (DED) AM technology were used as input to the AM shaping algorithm to grant high AM manufacturability. The first step of this work was to define the term of AM manufacturability, its effect on AM production, and to propose a framework to estimate the quantified value of AM manufacturability for the given part design. Moreover, an AM design method is proposed, based on the developed internal stresses of the build volume for the load case. Stress tensors are used for the determination of the build orientation and as input for the part morphing. A top-down mesoscale geometric optimization is used to realize the AM part design. The DED Design for Additive Manufacturing (DfAM) rules are used to delimitate the morphing of the part, representing at the same time the freeform mindset of the AM technology. The morphed shape of the part is optimized in terms of topology and AM manufacturability. The topology optimization and AM manufacturability indicator (TMI) is introduced to screen the percentage of design elements that serve topology optimization and the ones that serve AM manufacturability. In the end, a case study for proof of concept is realized.

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