Imperial College London
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ProfessorMatthewSanter

Faculty of Engineering, Department of Aeronautics

Professor of Aerospace Structures
 
 
 
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Contact

 

+44 (0)20 7594 5117m.santer

 
 
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Location

 

335City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Nightingale:2021:10.1007/s00158-020-02752-8,
author = {Nightingale, M and Hewson, R and Santer, M},
doi = {10.1007/s00158-020-02752-8},
journal = {Structural and Multidisciplinary Optimization: computer-aided optimal design of stressed solids and multidisciplinary systems},
pages = {1187--1201},
title = {Multiscale optimisation of resonant frequencies for lattice-based additive manufactured structures},
url = {http://dx.doi.org/10.1007/s00158-020-02752-8},
volume = {63},
year = {2021}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - This paper introduces a novel methodology for the optimisation of resonant frequencies in three-dimensional lattice structures. The method uses a multiscale approach in which the homogenised material properties of the lattice unit cell are defined by the spatially varying lattice parameters. Material properties derived from precomputed simulations of the small scale lattice are projected onto response surfaces, thereby describing the large-scale metamaterial properties as polynomial functions of the small-scale parameters. Resonant frequencies and mode shapes are obtained through the eigenvalue analysis of the large-scale finite element model which provides the basis for deriving the frequency sensitivities. Frequency tailoring is achieved by imposing constraints on the resonant frequency for a compliance minimisation optimisation. A sorting method based on the Modal Assurance Criterion allows for specific mode shapes to be optimised whilst simultaneously reducing the impact of localised modes on the optimisation. Three cases of frequency constraints are investigated and compared with an unconstrained optimisation to demonstrate the algorithms applicability. The results show that the optimisation is capable of handling strict frequency constraints and with the use of the modal tracking can even alter the original ordering of the resonant mode shapes. Frequency tailoring allows for improved functionality of compliance-minimised aerospace components by avoiding resonant frequencies and hence dynamic stresses.
AU  - Nightingale,M
AU  - Hewson,R
AU  - Santer,M
DO  - 10.1007/s00158-020-02752-8
EP  - 1201
PY  - 2021///
SN  - 1615-147X
SP  - 1187
TI  - Multiscale optimisation of resonant frequencies for lattice-based additive manufactured structures
T2  - Structural and Multidisciplinary Optimization: computer-aided optimal design of stressed solids and multidisciplinary systems
UR  - http://dx.doi.org/10.1007/s00158-020-02752-8
UR  - https://link.springer.com/article/10.1007%2Fs00158-020-02752-8
UR  - http://hdl.handle.net/10044/1/83824
VL  - 63
ER  -
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