Back to Search

An integrated homogenization–based topology optimization via RBF mapping strategies for additively manufactured FGLS and its application to bandgap structures

Title	An integrated homogenization–based topology optimization via RBF mapping strategies for additively manufactured FGLS and its application to bandgap structures
Author	Şimşek, Uğur, Gayir, C. E., Kiziltas, G., Şendur, Polat
Publication Date:	2020
Publication Place	- Springer Nature
Subject	Modified SIMP, Graded gyroid, Bandgap design, Homogenization
Type	Periodical
Language	English
Digital	Yes
Manuscript	No
Library:	Özyeğin University
Library Asset ID	0268-3768
Record ID	7ba0bdcf-ccf1-48f0-9f8d-df66608d19c6
Library Location	Mechanical Engineering
Date	2020
Notes	TÜBİTAK
Sample Text	The manufacturing of lattice structures has been greatly facilitated thanks to the advances in additive manufacturing. Functionally graded lattice (FGL) structures, a major class of such structures, developed using topology optimization (TO) are known to have superior mechanical characteristics such as high stiffness to weight ratio. A new design methodology using an integrated TO process is proposed for the development of FGL structures in this research. For that purpose, a material-penalization formula derived by the application of homogenization is integrated into the TO process. As a result, relative densities of the TO are mapped directly. This approach is more advantageous compared with the alternative techniques as there is no need to post-process the optimization results. Therefore, the degradation of the optimization results from post-processing is eliminated. Then, radial basis functions (RBFs) are used to create the geometry of the FGLs efficiently. The proposed methodology is demonstrated on a case study, where a cantilever beam with a desired bandgap characteristic is designed. Numerical results using the proposed method show that the first and second bending frequencies with the resulting optimized geometry are within 3% and 12% of the original TO design, whereas using method 1 the calculated relative errors are 24% and 74% and method 2 these errors are calculated as 8% and 34%, respectively. These comparative results indicate that the geometry created by the new method is superior to other design strategies as evidenced by the improved compatibility level between the bandgap performance results of the original unpenalized TO and structures generated using alternative techniques.
DOI	10.1007/s00170-020-06207-8

View in source Özyeğin University Özyeğin University - Historical works, archives, and periodicals search engine

Özyeğin University

An integrated homogenization–based topology optimization via RBF mapping strategies for additively manufactured FGLS and its application to bandgap structures

Author Şimşek, Uğur, Gayir, C. E., Kiziltas, G., Şendur, Polat

Publication Date 2020

Publication Place - Springer Nature

Subject Modified SIMP, Graded gyroid, Bandgap design, Homogenization

Type Periodical

Language English

Digital Yes

Manuscript No

Library Özyeğin University

Library Asset ID 0268-3768

Record ID 7ba0bdcf-ccf1-48f0-9f8d-df66608d19c6

Library Location Mechanical Engineering

Date 2020

Notes TÜBİTAK

Sample Text The manufacturing of lattice structures has been greatly facilitated thanks to the advances in additive manufacturing. Functionally graded lattice (FGL) structures, a major class of such structures, developed using topology optimization (TO) are known to have superior mechanical characteristics such as high stiffness to weight ratio. A new design methodology using an integrated TO process is proposed for the development of FGL structures in this research. For that purpose, a material-penalization formula derived by the application of homogenization is integrated into the TO process. As a result, relative densities of the TO are mapped directly. This approach is more advantageous compared with the alternative techniques as there is no need to post-process the optimization results. Therefore, the degradation of the optimization results from post-processing is eliminated. Then, radial basis functions (RBFs) are used to create the geometry of the FGLs efficiently. The proposed methodology is demonstrated on a case study, where a cantilever beam with a desired bandgap characteristic is designed. Numerical results using the proposed method show that the first and second bending frequencies with the resulting optimized geometry are within 3% and 12% of the original TO design, whereas using method 1 the calculated relative errors are 24% and 74% and method 2 these errors are calculated as 8% and 34%, respectively. These comparative results indicate that the geometry created by the new method is superior to other design strategies as evidenced by the improved compatibility level between the bandgap performance results of the original unpenalized TO and structures generated using alternative techniques.

DOI 10.1007/s00170-020-06207-8