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COBEM 2021

26th International Congress of Mechanical Engineering

TOPOLOGY OPTIMIZATION OF AIRFOILS RIBS USING BIDIRECTIONAL EVOLUTIONARY ALGORITHM

Submission Author: Gustavo Corrêa Fazio , SP
Co-Authors: Gustavo Corrêa Fazio, Carlos Eduardo de Souza, Marcos Daniel de Freitas Awruch
Presenter: Gustavo Corrêa Fazio

doi://10.26678/ABCM.COBEM2021.COB2021-0873

 

Abstract

In this work it is presented the topological optimization of an airfoil rib considering compliance and stress minimizations subjected to a volume constraint using bidirectional evolutionary structural optimization (BESO) method for a two-dimensional case. Structural topological optimization has gained prime attention with the development of additive manufacturing in the last couple of years. Detailed and complex components are being studied and built with different methodologies and materials since 3D printers are a reality in several industry fields. Aerospace applications usually require light weight assembly parts and this work is inserted in this context as it models an aircraft airfoil rib fixed in a tubular spar and subjected to aerodynamic forces in a fixed shape. Topology optimizations of continuum structures are a challenging topic where efficient and unusual concept designs can be created. The BESO methodology considers only two types of densities, solid and void, where material can be added or removed during the iterative process. Initially, the compliance formulation is shown defining the minimization and constraint functions. Also the sensitivity filtering scheme is analyzed. Then the stress minimization is presented based on the modified P-norm stress function, which provides values below the maximum stress on the structure. Finally, some simulations are performed on a symmetrical and a NACA 2412 airfoils for different angles of attack. Those loads are obtained through the panel method on airfoils to achieve the pressure coefficients distribution. Comparisons are made on the compliance and stress minimizations results for the different airfoils and angles of attack. The results are discussed analyzing the main effects for the two methods on the optimized topologies. It is observed that based on each formulation the evolution on the iterative process leads to different outcomes since it drives to the addition or removal of elements that are different. Finally, suggestions for further analysis and research are considered.

Keywords

airfoil, Optimization, Stress, Compliance Minimization

 

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