Improved Efficient Projection Density Function Based on Topology Optimization

Nouman Saeed,Nasif Raza Jaffri,Kai Long,Jamshed Ahmed Ansari,Usama Abrar

doi:10.1155/2021/1077990

Abstract

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.

Highlights

A process in which the optimization of substance results within a known structural space is used for assumed load parameters and limit circumstances to obtain the top figure occurrence of the structure is called topology optimization
Density-based technique for topology optimization [3] have been developed to such an extent that the structures for numerous engineering categories are implemented using advanced computational means, especially in favor of aerospace and automotive to achieve optimal weight, stiffness, strength, and frequency with the help of design objectives
To distinguish the optimal structural topology in solid isotropic material with penalization, we identify black and white allocation through a pixel image; we take out the level set from TDF specified at given structure limitation

Summary

Introduction

A process in which the optimization of substance results within a known structural space is used for assumed load parameters and limit circumstances to obtain the top figure occurrence of the structure is called topology optimization. Zhao and Wang [14] worked at the robust optimization of isotropic substance design along with loading variability problems. The implicit method for the 3D topology optimization problem usually involves many numbers of variables which are required as compared to explicit technique. It would be helpful to obtain the minimum length scale influence on void and solid phases to produce a robust, optimized structure. It attains a brief layout correspondingly 0/1 phases to moderate β values. E standard Heaviside filtering method is manipulated to make sure the white and black phases cannot obtain length scale control on void and solid phases in topology optimization [21].

Methodology

Robust Topology Optimization Formulation

Numerical Analysis for Proposed Model