scholarly journals Analytical relationships for imposing minimum length scale in the robust topology optimization formulation

2021 ◽  
Author(s):  
Denis Trillet ◽  
Pierre Duysinx ◽  
Eduardo Fernández
Keyword(s):  
Topology Optimization ◽  
Minimum Length ◽  
Length Scale ◽  
Robust Topology Optimization ◽  
Optimization Formulation ◽  
Minimum Length Scale

scholarly journals 817 Topology optimization with a minimum length scale constraint

2010 ◽  
Vol 2010.23 (0) ◽  
pp. 395-396
Author(s):  
Masaki OTOMORI ◽  
Kazuhiro IZUI ◽  
Shinji NISHIWAKI
Keyword(s):  
Topology Optimization ◽  
Minimum Length ◽  
Length Scale ◽  
Minimum Length Scale

scholarly journals Improved Efficient Projection Density Function Based on Topology Optimization

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Nouman Saeed ◽  
Kai Long ◽  
Jamshed Ahmed Ansari ◽  
Nasif Raza Jaffri ◽  
Usama Abrar
Keyword(s):  
Topology Optimization ◽  
Optimization Technique ◽  
Minimum Length ◽  
Design Problems ◽  
Manufacturing Costs ◽  
Minimum Compliance ◽  
Engineering Design Problems ◽  
Optimization Formulation ◽  
Solid Phases ◽  
Minimum Length Scale

Topology optimization is a powerful tool having capability of generating new solution to engineering design problems, while these designs enhance manufacturability and reduce manufacturing costs in a computational setting. Mesh-independent convergence and other techniques have been widely used as topology optimization technique, but they produce gray transition regions which is not a favorable condition for any material. In this article, a modified topology optimization formulation using a new function has been proposed. The suggested scheme makes use of the Heaviside Projection Method (HPM) to continuum topology optimization. Such technique is helpful to obtain the minimum length scale influence on void and solid phases. Application of this proposed approach is implemented to obtain the minimum compliance for macrostructures. Numerical remarkable examples illustrate the noteworthy value of the proposed approach.

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