Topology Optimization with Geometric Constraints for Visibility Using Fictitious Physical Model

2020 ◽  
Vol 2020 (0) ◽  
pp. J01215
Author(s):  
Eri ITO ◽  
Shinji NISHIWAKI ◽  
Kazuhiro IZUI ◽  
Takayuki YAMADA
Keyword(s):  
Topology Optimization ◽  
Physical Model ◽  
Geometric Constraints

Topology Optimization of Electric Vehicle Body in White Based on SIMP Method

2011 ◽  
Vol 308-310 ◽  
pp. 606-609 ◽  
Author(s):  
Shu Yang ◽  
Chang Qi ◽  
Ping Hu ◽  
Zhi Yong Wei ◽  
Ying Li Wang
Keyword(s):  
Topology Optimization ◽  
Geometric Constraints ◽  
Vehicle Body ◽  
Numerical Instability ◽  
Static Loads ◽  
Simp Method ◽  
Proposed Model ◽  
Body In White ◽  
Braking Process ◽  
Moment Load

Based on Solid Isotropic Microstructure with Penalization (SIMP) method, a mathematical model for topology optimization of EV is proposed, which has design objective as minimizing compliance, with volumetric and geometric constraints. To make results more engineering value, the BIW optimization of EV takes into account not only the static loads, but also the torsion load in turning and moment load in braking process of EV. A number of implementation aspects in solving the numerical instability problem generated in optimization process are discussed, including checkboard patterns and mesh-dependency. Topology optimization of EV body in white with geometry and volumetric constraints is conducted, showing effectiveness of the proposed model.

Topology Optimization of Total Femur Structure: Application of Parameterized Level Set Method Under Geometric Constraints

2015 ◽  
Vol 138 (1) ◽  
Author(s):  
Xiaowei Deng ◽  
Yingjun Wang ◽  
Jinhui Yan ◽  
Tao Liu ◽  
Shuting Wang
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Narrow Band ◽  
Geometric Constraints ◽  
Contour Method ◽  
Viable Option ◽  
Level Set Function ◽  
Set Function ◽  
Constraint Level

Optimization of the femur prosthesis is a key issue in femur replacement surgeries that provide a viable option for limb salvage rather than amputation. To overcome the drawback of the conventional techniques that do not support topology optimization of the prosthesis design, a parameterized level set method (LSM) topology optimization with arbitrary geometric constraints is presented. A predefined narrow band along the complex profile of the original femur is preserved by applying the contour method to construct the level set function, while the topology optimization is carried out inside the cavity. The Boolean R-function is adopted to combine the free boundary and geometric constraint level set functions to describe the composite level set function of the design domain. Based on the minimum compliance goal, three different designs of 2D femur prostheses subject to the target cavity fill ratios 34%, 54%, and 74%, respectively, are illustrated.

Topology Optimization for Additive Manufacturing Considering Layer-Based Minimum Feature Sizes

2017 ◽  
Author(s):  
Mikhail Osanov ◽  
James K. Guest
Keyword(s):  
Topology Optimization ◽  
Additive Manufacturing ◽  
Manufacturing Process ◽  
Three Dimensional ◽  
Design Tool ◽  
Geometric Constraints ◽  
Layer By Layer ◽  
Simple Modification ◽  
Complex Structural ◽  
Manufacturing Technologies

The rapid advance of additive manufacturing technologies has provided new opportunities for creating complex structural shapes. In order to fully exploit these opportunities, however, engineers must re-think the design process and leverage these new capabilities while respecting manufacturing constraints inherent in various processes. Topology optimization, as a free-from design tool, is a potentially powerful approach to addressing this design challenge provided the manufacturing process is properly accounted for. This work examines geometric constraints related to feature size and the layer-by-layer nature of the manufacturing process. A simple modification to the Heaviside Projection Method, an approach for naturally achieving geometric constraints in topology optimization, is proposed and demonstrated to have clear, understandable impact on three-dimensional optimized beam designs.

scholarly journals Geometric constraints for shape and topology optimization in architectural design

2017 ◽  
Vol 59 (6) ◽  
pp. 933-965 ◽  
Author(s):  
Charles Dapogny ◽  
Alexis Faure ◽  
Georgios Michailidis ◽  
Grégoire Allaire ◽  
Agnes Couvelas ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Architectural Design ◽  
Geometric Constraints ◽  
Shape And Topology Optimization ◽  
And Topology

Topology Optimization Taking Into Account Geometrical Constraint of No-Closed Hole for Additive Manufacturing Based on Fictitious Physical Model Concept

2021 ◽  
Author(s):  
Takayuki Yamada ◽  
Yuki Noguchi
Keyword(s):  
Topology Optimization ◽  
Additive Manufacturing ◽  
Physical Model ◽  
Optimization Method ◽  
Geometrical Constraint ◽  
The Finite Element Method ◽  
Model Concept ◽  
Optimization Framework ◽  
Proposed Model ◽  
Topology Optimization Method

Abstract This paper proposes a topology optimization method that considers the geometrical constraint of a non-closed hole for additive manufacturing based on the fictitious physical model concept. First, the basic topology optimization concept and level set-based method are introduced. Second, the concept of a fictitious physical model for geometrical constraint in the topology optimization framework is discussed. Then, the model for the geometrical constraint of a non-closed hole for additive manufacturing is proposed. Numerical examples are provided to validate the proposed model. In addition, topology optimization considering this geometrical constraint is formulated, and topology optimization algorithms are constructed using the finite element method. Finally, optimization examples are provided to validate the proposed topology optimization method.

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