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    Topology optimization of periodic microstructures for enhanced loss factor using acoustic-structure interaction  
    JungHwan Kook(Technical University of Denmark)
    Nederland | International Journal of Solids and Structures
    2016-08-28 | 바로가기
    Microstructure
    Cited by 19

    ■  View full text

    International Journal of Solids and Structures

    Received 28 August 2016, Revised 24 April 2017, Accepted 1 June 2017, Available online 7 June 2017.

    https://doi.org/10.1016/j.ijsolstr.2017.06.001

     

     

    ■  Researchers

    Junghwan Kook, Jakob S.Jensen

     Department of Mechanical Engineering, Technical University of Denmark

     

     

    ■  Abstract

    In this work we present a topology optimization method for the design of 2D composite materials with a distribution of a solid constituent and a lossy acoustic medium for obtaining high loss factors. The method is based on a mixed displacement-pressure finite element (FE) formulation combined with the Bloch-wave condition. We solve the resulting FE eigenvalue problem on a repetitive unit cell with periodic boundary conditions and use a complex k(ω) eigenvalue formulation to compute the loss factor. We consider the optimization problem of maximizing the loss factor in a target frequency range with an additional constraint on the stiffness. In the provided example we demonstrate the effect of combined local resonators and acoustic resonances of similar frequency for creating an enhanced overall loss factor of the material.

     

     

    ■  Conclusion

    In this paper we have presented a gradient-based topology optimization method for the design of 2D periodic structures with a lossy acoustic medium for maximizing the loss/attenuation of propagating waves. The work encompassed the derivation of a computational model based on a mixed displacement and pressure finite element discretization of a periodic unit cell and a complex eigenvalue problem with a prescribed frequency. Maximization of the loss in a target frequency range was considered as the objective function for the optimization in order to obtain the largest possible wave attenuation by combining the effects of favorable distribution of solid material and an acoustic medium with dissipation. In the design example we found that the optimized design has a locally resonating internal structure combined with acoustic modes with frequencies close to those of the resonators. It was shown that the acoustic-structure interaction in the optimized microstructure caused an increased overall loss factor and that the presence of the lossy acoustic medium had strong effect on the wave decay of the periodic structure. We conclude that the proposed loss optimization presented here works well for creating a favorable distribution of a lossy acoustic medium and a stiff constituent in order to enhance the damping properties of the composite material.

     

     

     

    * 관련 자료 

    [신진연구자 인터뷰] 위상 최적화 기법의 개발 및 마이크로 구조체 설계 연구

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