Minimum Weight Optimal Design of Truss Structure with Frequency Response Function Constraint
Publication: Journal of Aerospace Engineering
Volume 33, Issue 4
Abstract
The dynamic sizing optimization problem of a truss structure is studied for its weight minimization with a constraint of the frequency response function (FRF) over a certain frequency bandwidth. First, a discrete representation of the FRF is proposed such that the integral FRF variation within the frequency range can be indicated effectively and efficiently by means of the dynamic responses at several specified characteristic frequency points. As a consequence of this approximation, the continuous FRF constraint is well represented through a few discrete constraints at those characteristic frequencies. Then, an evolutionary optimization procedure is developed based on the FRF sensitivity analysis. In the optimization procedure, the FRF amplitude is reduced while the resonance peaks (eigenfrequencies) within the frequency range of interest are essentially kept. The minimum weight design of a structure is obtained indirectly from a preliminary design by a lesser increase of the weight together with a significant reduction of the structural FRF. Finally, the proposed optimization method is verified through two typical examples, and the obtained results show that the present optimal design approach on an FRF constraint is superior to the natural frequency constraint for overall attenuation of the structural dynamic responses in a wide frequency range.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This work is partly supported by the National Natural Science Foundation of China (Grant Nos. 11772258 and 51975470).
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Published In
Journal of Aerospace Engineering
Volume 33 • Issue 4 • July 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Aug 28, 2018
Accepted: Jan 30, 2020
Published online: Apr 11, 2020
Published in print: Jul 1, 2020
Discussion open until: Sep 11, 2020
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