Maximizing phononic band gaps in piezocomposite materials by means of topology optimization

Vatanabe, Sandro L.; Paulino, Gláucio H.; Silva, Emilío Carlos Nelli

doi:10.1121/1.4887456

Cited by 54 publications

(21 citation statements)

References 29 publications

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“…The material interpolation scheme expressed herein yields 0-1 solutions naturally when maximizing the phononic band gaps. There is no need to penalize based on elastic properties of each element [8,9]. To eliminate mesh dependency and checker-board issues, a density filtering method is used to evaluate the actual design variables in the full design domain of the unit cell [10].…”

Section: Topology Optimization Formulationmentioning

confidence: 99%

Topology optimization for phononic band gap maximization considering a target driving frequency

Shin

Yoon

et al. 2019

JMST Adv.

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A phononic crystal (PnC) is an artificially engineered periodic structure that exhibits extraordinary phenomena, such as a phononic band gap. The phononic band gap refers to a certain range of frequencies within which mechanical waves cannot propagate through the PnC. The main purpose of this paper is to propose a topology optimization formulation for phononic band gap maximization that simultaneously takes into account a target driving frequency. In the proposed topology optimization formulation, a relative band gap is considered as an objective function to be maximized. In addition, an equality constraint is imposed on the central frequency of the band gap. The topology optimization problem is solved using the globally convergent method of moving asymptotes, which is a gradient-based optimization algorithm. Numerical examples are computed to demonstrate the effectiveness of the proposed topology optimization formulation.

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Section: Topology Optimization Formulationmentioning

confidence: 99%

Topology optimization for phononic band gap maximization considering a target driving frequency

Shin

Yoon

et al. 2019

JMST Adv.

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“…17,18 Although a topological optimization is also attempted to achieve broader band gaps, the optimized unit cells usually have complex geometry which is difficult to fabricate. [19][20][21][22] In a different prospective, most PCs are usually tied with the inherent structural weakness due to the multiple structural interfaces, which are needed to create structural impedance changes. Therefore, the search for PCs with broad band gaps in both low and mid-high frequency range while ensuring acceptable structural properties without attaching additional elements and multiple interfaces becomes important.…”

Section: Introductionmentioning

confidence: 99%

Ultrawide band gaps in beams with double-leaf acoustic black hole indentations

Tang

2017

The Journal of the Acoustical Society of America

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Band gaps in conventional phononic crystals (PCs) are attractive for applications such as vibration control, wave manipulation, and sound absorption. Their practical implementations, however, are hampered by several factors, among which the large number of cells required and their impractically large size to ensure the stopbands at reasonably low frequencies are on the top of the list. This paper reports a type of beam carved inside with two double-leaf acoustic black hole indentations. By incorporating the local resonance effect and the Bragg scattering effect generated by a strengthening stud connecting the two branches of the indentations, ultrawide band gaps are achieved. Increasing the length of the stud or reducing the residual thickness of the indentation allows the tuning of the band gaps to significantly enlarge the band gaps, which can exceed 90% of the entire frequency range of interest. Experimental results show that with only three cells, the proposed beam allows considerable vibration energy attenuation within an ultra-broad frequency range including the low frequency range, which conventional PCs can hardly reach. Meanwhile, the proposed configuration also enhances the structural integrity, thus pointing at promising applications in vibration control and a high performance wave filter design.

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“…Additionally, Vatanabe et al . 37 maximized phononic band gaps in piezocomposite materials, Liu et al . 38 explored the solid-solid phononic crystals for multiple separate band gaps with different polarizations, and Hedayatrasa et al .…”

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confidence: 99%

3-D phononic crystals with ultra-wide band gaps

Yang

Guest

et al. 2017

Sci Rep

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In this paper gradient based topology optimization (TO) is used to discover 3-D phononic structures that exhibit ultra-wide normalized all-angle all-mode band gaps. The challenging computational task of repeated 3-D phononic band-structure evaluations is accomplished by a combination of a fast mixed variational eigenvalue solver and distributed Graphic Processing Unit (GPU) parallel computations. The TO algorithm utilizes the material distribution-based approach and a gradient-based optimizer. The design sensitivity for the mixed variational eigenvalue problem is derived using the adjoint method and is implemented through highly efficient vectorization techniques. We present optimized results for two-material simple cubic (SC), body centered cubic (BCC), and face centered cubic (FCC) crystal structures and show that in each of these cases different initial designs converge to single inclusion network topologies within their corresponding primitive cells. The optimized results show that large phononic stop bands for bulk wave propagation can be achieved at lower than close packed spherical configurations leading to lighter unit cells. For tungsten carbide - epoxy crystals we identify all angle all mode normalized stop bands exceeding 100%, which is larger than what is possible with only spherical inclusions.

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Maximizing phononic band gaps in piezocomposite materials by means of topology optimization

Cited by 54 publications

References 29 publications

Topology optimization for phononic band gap maximization considering a target driving frequency

Topology optimization for phononic band gap maximization considering a target driving frequency

Ultrawide band gaps in beams with double-leaf acoustic black hole indentations

3-D phononic crystals with ultra-wide band gaps

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