A new development of a shadow density filter for manufacturing constraint and its applications to multiphysics topology optimization

2020 ◽  
pp. 1-53
Author(s):  
Gilho Yoon ◽  
Seon Il Ha
Keyword(s):  
Topology Optimization ◽  
Transfer Problem ◽  
Manufacturing Constraints ◽  
Structural Topology ◽  
Geometrical Features ◽  
Manufacturing Constraint ◽  
New Development ◽  
Molded Parts ◽  
Density Filter ◽  
Interaction Problem

Abstract The present research develops a new shadow filter and presents its usage for structural topology optimization (TO) considering the molding manufacturability. It is important to consider manufacturing methods in designing products. Some geometrical features not allowing molded parts should be removed. In addition, it has been an important issue to efficiently impose these manufacturing constraints in TO. For this purpose, the present research emulates implementation of shadowing of products and applies the shadow images as pseudodensity variables in TO. The use of this shadow density filter ensures that the optimized layouts comply with the conditions of the manufacturing constraints. Various manufacturing conditions can be imposed depending on the direction and the position of the light. Several numerical examples of compliance minimization problem, conjugate heat transfer problem and fluid-structure interaction problem are solved to demonstrate the validity and effectiveness of the present shadow density filters, and their performances are compared.

A new bilateral density filter with cross template for structural topology optimization

2017 ◽  
Vol 232 (21) ◽  
pp. 3823-3832
Author(s):  
Xiaokui Xu ◽  
Baofeng Guo ◽  
Miao Jin
Keyword(s):  
Topology Optimization ◽  
Compliant Mechanism ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Local Minima ◽  
Stable Convergence ◽  
Edge Preserving ◽  
Compliance Minimization ◽  
Density Filter ◽  
Numerical Instabilities

To suppress numerical instabilities and ensure manufacturability in density-based topology optimization, restrictions are required to be used. In this paper, a new bilateral density filter is presented. Different from the original bilateral density filter, the new filter uses a cross template and the range operator is changed. The purpose is to improve the ability of edge-preserving smoothing. Moreover, a continuation scheme for the new range operator is given to ensure a stable convergence to 0–1 solutions and avoid falling into local minima. The performance of the new filter for compliance minimization problem and compliant mechanism problem is demonstrated by application examples.

Structural Topology Optimization Using Frame Elements Based on the Complementary Strain Energy Concept for Eigen-Frequency Maximization

2005 ◽  
Author(s):  
Akihiro Takezawa ◽  
Shinji Nishiwaki ◽  
Kazuhiro Izui ◽  
Masataka Yoshimura
Keyword(s):  
Topology Optimization ◽  
Cross Sections ◽  
Strain Energy ◽  
Optimization Procedure ◽  
Optimization Method ◽  
Structural Topology ◽  
Energy Concept ◽  
Conceptual Design Phase ◽  
Complementary Strain ◽  
Topology Optimization Method

This paper discuses a new topology optimization method using frame elements for the design of mechanical structures at the conceptual design phase. The optimal configurations are determined by maximizing multiple eigen-frequencies in order to obtain the most stable structures for dynamic problems. The optimization problem is formulated using frame elements having ellipsoidal cross-sections, as the simplest case. Construction of the optimization procedure is based on CONLIN and the complementary strain energy concept. Finally, several examples are presented to confirm that the proposed method is useful for the topology optimization method discussed here.

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