Band gap behaviour of optimal one-dimensional composite structures with an additive manufactured stiffener

Ampatzidis, Theofanis; Leach, Richard; Tuck, Christopher; Chronopoulos, Dimitrios

doi:10.1016/j.compositesb.2018.07.012

Cited by 27 publications

(19 citation statements)

References 40 publications

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“…Non strut-based AM BG lattices can be seen in the work of Elmadih et al [18] and Abueidda et al [8]; in both these cases, BG structures were obtained using lattices based on triply periodic minimal surface (TPMS) equations. Non strut-based AM BG lattices can also be seen in the ceramic lattice work of Kruisová et al [33] and Ampatzidis et al [17].…”

Section: Introductionmentioning

confidence: 80%

“…The concept of BGs emerged from solid-state physics, with recent use in electronic systems [1,2,3], photonics [4,5,6,7] and phononic structures [8,9,10,11,12,13]. BGs generally result from Bragg scattering, in which transmitted and reflected waves within a periodic medium undergo destructive interference [14,15,16,17,18,19]. The BG frequencies depend on the geometry and size of the repeating lattice unit cell [20].…”

Section: Introductionmentioning

confidence: 99%

“…The DC computational method was developed as an expansion of the 1D and two-dimensional (2D) FE techniques used elsewhere [14,15,16,17,18], and is described in Section 2.2. In Section 2.1, the designs and structural parameters of the examined lattices are presented.…”

Section: Introductionmentioning

confidence: 99%

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Multidimensional Phononic Bandgaps in Three-Dimensional Lattices for Additive Manufacturing

et al. 2019

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We report on numerical modelling of three-dimensional lattice structures designed to provide phononic bandgaps. The examined lattice structures rely on two distinct mechanisms for bandgap formation: the destructive interference of elastic waves and internal resonance. Further to the effect of lattice type on the development of phononic bandgaps, we also present the effect of volume fraction, which enables the designer to control the frequency range over which the bandgaps exist. The bandgaps were identified from dispersion curves obtained using a finite element wave propagation modelling technique that provides high computational efficiency and high wave modelling accuracy. We show that lattice structures employing internal resonance can provide transmissibility reduction of longitudinal waves of up to −103 dB. Paired with the manufacturing freedom and material choice of additive manufacturing, the examined lattice structures can be tailored for use in wide-ranging applications including machine design, isolation and support platforms, metrology frames, aerospace and automobile applications, and biomedical devices.

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Section: Introductionmentioning

confidence: 80%

Section: Introductionmentioning

confidence: 99%

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Multidimensional Phononic Bandgaps in Three-Dimensional Lattices for Additive Manufacturing

et al. 2019

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“…In addition to the unusual mechanical and physical properties, architected materials have been designed and optimized for novel elastodynamic wave phenomena. One example of such architected materials is phononic metamaterial, which consists of periodically topological structures and materials dispersions and has the ability to manipulate the propagation of mechanical waves [17][18][19][20][21][22][23][24][25][26][27][28][29]. The periodic structures of phononic crystals produce omnidirectional band gaps-ranges of frequencies where elastic waves cannot propagate.…”

Section: Introductionmentioning

confidence: 99%

3D printed architected hollow sphere foams with low-frequency phononic band gaps

McGee

Jiang

Feng

et al. 2019

Additive Manufacturing

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We experimentally and numerically investigate elastic wave propagation in a class of lightweight architected materials composed of hollow spheres and binders. Elastic wave transmission tests demonstrate the existence of vibration mitigation capability in the proposed architected foams, which is validated against the numerically predicted phononic band gap. We further describe that the phononic band gap properties can be significantly altered through changing hollow sphere thickness and binder size in the architected foams. Importantly, our results indicate that by increasing the stiffness contrast between hollow spheres and binders, the phononic band gaps are broadened and shifted toward a low-frequency range. At the threshold stiffness contrast of 50, the proposed architected foam requires only a volume fraction of 10.8% while exhibiting an omnidirectional band gap size exceeding 130%. The proposed design paradigm and physical mechanisms are robust and applicable to architected foams with other topologies, thus providing new opportunities to design phononic metamaterials for low-frequency vibration control.

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“…Due to periodicity, the wave propagation characteristics of a periodic structure are governed by the dynamics of a single unit cell (smallest repetitive substructure). Hence one can intentionally design the material and geometric parameters, as well as the boundary conditions of the unit cell to tailor or artificially create band gaps [ 20 , 21 ]. These artificial periodic structures are often referred to as phononic crystals [ 5 , 22 ].…”

Section: Introductionmentioning

confidence: 99%

Creating the Coupled Band Gaps in Piezoelectric Composite Plates by Interconnected Electric Impedance

Zhou

Fan

et al. 2018

Materials

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In this paper, we investigate the coupled band gaps created by the locking phenomenon between the electric and flexural waves in piezoelectric composite plates. To do that, the distributed piezoelectric materials should be interconnected via a ‘global’ electric network rather than the respective ‘local’ impedance. Once the uncoupled electric wave has the same wavelength and opposite group velocity as the uncoupled flexural wave, the desired coupled band gap emerges. The Wave Finite Element Method (WFEM) is used to investigate the evolution of the coupled band gap with respect to propagation direction and electric parameters. Further, the bandwidth and directionality of the coupled band gap are compared with the LR and Bragg gaps. An indicator termed ratio of single wave (RSW) is proposed to determine the effective band gap for a given deformation (electric, flexural, etc.). The features of the coupled band gap are validated by a forced response analysis. We show that the coupled band gap, despite directional, can be much wider than the LR gap with the same overall inductance. This might lead to an alternative to adaptively create band gaps.

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Band gap behaviour of optimal one-dimensional composite structures with an additive manufactured stiffener

Cited by 27 publications

References 40 publications

Multidimensional Phononic Bandgaps in Three-Dimensional Lattices for Additive Manufacturing

Multidimensional Phononic Bandgaps in Three-Dimensional Lattices for Additive Manufacturing

3D printed architected hollow sphere foams with low-frequency phononic band gaps

Creating the Coupled Band Gaps in Piezoelectric Composite Plates by Interconnected Electric Impedance

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