Reliability-Based Design of an Aircraft Wing Using a Fuzzy-Based Metaheuristic

Seksan Winyangkul,Sujin Bureerat,Suwin Sleesongsom

doi:10.3390/app11146463

Abstract

The purpose of this paper is to design aircraft wing using reliability-based design optimization concerned to fuzzy uncertainty variables. A possibilistic safety index-based design optimization (PSIBDO) with fuzzy uncertainties is proposed to overcome difficult tasks from the original probabilistic problem. The design problem is to minimize mass of a composite aircraft wing subject to aeroelastic and structural constraints through consideration of the material properties are the uncertainties. The design variables include aircraft wing structure dimensions. The reliability-based design approach is needed to alleviate such a problem. Due to the complexity of the aircraft wing structures design and aeroelastic analysis, nonprobability-based design is an alternative choice to increase computational efficiency in the design process. The optimum results show the efficiency of our proposed approach.

Highlights

Composite materials are increasingly used as aircraft structures, but complexity in design analysis causes uncertainties due to material non-homogenous and thickness variation
The reliability-based design optimization (RBDO) cooperates with the fuzzy set theory can be performed with the possibility safety index (PSI) of the constraints [9] and it is called possibilistic safety index-based design optimization (PSIBDO)
PSIBDO solves with a teaching-learning based optimization (TLBO) [18]

Summary

Introduction

Composite materials are increasingly used as aircraft structures, but complexity in design analysis causes uncertainties due to material non-homogenous and thickness variation. In cases of a non-probabilistic approach, triple-looped nested problem is needed due to the possibility safety index (PSI) calculation. This technique is called possibility safety index-based design optimization (PSIBDO). Reliability-based design optimization of aircraft aeroelasticity is a computational burden problem due to complex of aircraft structures and the double-loop nested problem for the probabilistic technique. It is known that aleatory uncertainty can be handled by the probabilistic model, but epistemic uncertainty is preferably quantified by a convex set—a fuzzy set method [9], and anti-optimization [1,10] It means that the uncertainties of aeroelastic aircraft wing design cannot be quantified by theory alone.

4: Ending

PSIBDO Problem

TLBO Optimization Design Parameters for Wing Structure

Numerical Experiment

Objective

Conclusions