Topology optimization of damping material for reducing resonance response based on complex dynamic compliance

Journal of Sound and Vibration Volume 365 Page 230-243 published_at 2016-03-17
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Title ( eng )
Topology optimization of damping material for reducing resonance response based on complex dynamic compliance
Creator
Daifuku Masafumi
Nakano Youhei
Nakagawa Kohya
Yamamoto Takashi
Source Title
Journal of Sound and Vibration
Volume 365
Start Page 230
End Page 243
Abstract
In this research, we propose a new objective function for optimizing damping materials to reduce the resonance peak response in the frequency response problem, which cannot be achieved using existing criteria. The dynamic compliance in the frequency response problem is formulated as the scalar product of the conjugate transpose of the amplitude vector and the force vector of the loading nodes. The proposed objective function methodology is implemented using the common solid isotropic material with penalization (SIMP) method for topology optimization. The optimization problem is formulated as maximizing the complex part of the proposed complex dynamic compliance under a volume constraint. 2D and 3D numerical examples of optimizing the distribution of the damping material on the host structure are provided to illustrate the validity and utility of the proposed methodology. In these numerical studies, the proposed objective function worked well for reducing the response peak in both lower and upper excitation frequencies around the resonance. By adjusting the excitation frequency, multi-resonance peak reduction may be achieved with a single frequency excitation optimization.
Keywords
Damping material
Optimal design
Topology optimization
Sensitivity analysis
Finite element method
Descriptions
This research was partially supported by JSPS KAKENHI Grant Numbers 25820422 and 25630436.
NDC
Technology. Engineering [ 500 ]
Language
eng
Resource Type journal article
Date of Issued 2016-03-17
Rights
Copyright (c) 2015 ElsevierLtd. All rights reserved.
Publish Type Author’s Original
Access Rights open access
Source Identifier
[ISSN] 0022-460X
[NCID] AA00253704
[DOI] 10.1016/j.jsv.2015.11.045
[DOI] http://dx.doi.org/10.1016/j.jsv.2015.11.045