Topology and Parametric Optimization-Based Design Processes for Lightweight Structures

Evangelos Tyflopoulos,Martin Steinert

doi:10.3390/app10134496

Abstract

Topology and Parametric Optimization are two of the most implemented material optimization approaches. However, it is not clear in the literature which optimization procedure, or possible combination of them, can lead to the best results based on material reduction and optimization time. In this paper, a quantitative comparison of different topology and parametric optimization design processes is conducted using three benchmark examples: A Hollow Plate, an L-Bracket, and a Messerschmitt–Bölkow–Blohm Beam (MBB-Beam). Ten different design processes that were developed in each case study resulted in 30 simulations in total. The design processes were clustered in three main design workflows: The Topology Optimization, the Parametric Optimization, and the Simultaneous Parametric and Topology Optimization. Their results were compared with respect to mass, stress, and time. The Simultaneous Parametric and Topology Optimization approach gave the lightest design solutions without compromising their initial strength but also increased the optimization time. The findings of this paper will help the designers in the pursuit of lightweight structures and will create the basis for the identification of the ideal material optimization procedure.

Highlights

Two notable categories in Structural Optimization (SO) are the Parametric Optimization (PO)and Topology Optimization (TO)
It can guide to global shape and size optimum solutions for linear and convex problems, but it cannot optimize the topology of the structure [3]
Concerning the Finite Element Analysis (FEA) of the component, the plate is fixed on its left side, and a vertical force F = 2000 N is applied to a specific area (denoted with force area (FA)) on the top of the plate

Summary

Introduction

Two notable categories in Structural Optimization (SO) are the Parametric Optimization (PO)and Topology Optimization (TO). These optimization approaches have been increasingly applied as material reduction methods in the industry over the last decades The gains from these optimization methods are notable and have thoroughly been presented in the literature [1,2]. It can guide to global shape and size optimum solutions for linear and convex problems, but it cannot optimize the topology of the structure [3]. Both the Design of Experiments (DOE) and Sensitivity Analysis (SA) were developed simultaneously with the PO to support the implementation and the choice of the most crucial parameters in optimization, respectively [4]

Methods

Results

Conclusion