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Shape and non-shape unified isogeometric optimal design for extremal band gaps

Authors
Choi, Myung-JinKim, Min-GeunKoo, BonyongOh, Myung-HoonKim, Hyun-SeokCho, Seonho
Issue Date
9월-2023
Publisher
TAYLOR & FRANCIS INC
Keywords
Isogeometric method; unified design sensitivity; optimal design; band gap; Bloch theory; experimental validation
Citation
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, v.51, no.9, pp 4813 - 4832
Pages
20
Journal Title
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
Volume
51
Number
9
Start Page
4813
End Page
4832
URI
https://www.kriso.re.kr/sciwatch/handle/2021.sw.kriso/9482
DOI
10.1080/15397734.2023.2189939
ISSN
1539-7734
1539-7742
Abstract
A unified shape and non-shape design optimization for lattice structures is performed to obtain extremal band gaps in an isogeometric computational framework, which uses the same NURBS basis functions as used in CAD description. Using a precise numerical model in both response and shape sensitivity analyses, enhanced response and sensitivity can be obtained, which leads to a precise optimal design. A plane wave propagation in infinite periodic lattice is analyzed within a representative unit cell using the Bloch theory with periodic boundary conditions. The ligaments of lattice structures are modeled using geometrically exact beams whose cross-sectional area and configuration are regarded as design variables, which are parameterized by the NURBS basis functions. The design variables are controlled by a mathematical programming algorithm with efficient adjoint design sensitivity. The obtained optimal lattice structures of triangular, squared, hexagonal, and Kagome structures are fabricated using a 3D printing machine to be validated by physical experiments. Through harmonic response analysis and physical experiment for the optimal and the original designs, the wave attenuation properties are compared to demonstrate the validity of the obtained optimal design.
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Kim, Hyun Seok
친환경해양개발연구본부 (친환경연료추진연구센터)
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