Improved efficient projection density function based on topology optimization
type: Item
instance of: scholarly article
title: Improved efficient projection density function based on topology optimization
zbMATH Open document ID: 1477.74093
DOI: 10.1155/2021/1077990
author: Nouman Saeed
author: Kai Long
author: Jamshed Ahmed Ansari
author: Nasif Raza Jaffri
author: Usama Abrar
published in: Journal of Mathematics
publication date: 2021-11-24T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 74P15
zbMATH DE Number: 7433046
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/1077990
OpenAlex ID: W3204848681
cites work: Generating optimal topologies in structural design using a homogenization method
cites work: A general framework for robust topology optimization under load-uncertainty including stress constraints
cites work: A stochastic model for elasticity tensors with uncertain material symmetries
cites work: Optimization under uncertainty with applications to design of truss structures
cites work: Robust topology optimization under loading uncertainty based on linear elastic theory and orthogonal diagonalization of symmetric matrices
cites work: Bi-directional evolutionary topology optimization of geometrically nonlinear continuum structures with stress constraints
cites work: 3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method
cites work: Constraints of distance from boundary to skeleton: for the control of length scale in level set based structural topology optimization
cites work: Manufacturing tolerant topology optimization
cites work: On projection methods, convergence and robust formulations in topology optimization
cites work: Topology optimization of nonlinear elastic structures and compliant mechanisms
cites work: Filters in topology optimization
cites work: Volume preserving nonlinear density filter based on Heaviside functions
description: scientific article; zbMATH DE number 7433046