Experimental and numerical evidence for the existence of wide and deep phononic gaps induced by inertial amplification in two-dimensional solid structures

Acar, Gizem D.; Yılmaz, Çetin

doi:10.1016/j.jsv.2013.06.022

Cited by 127 publications

(65 citation statements)

References 32 publications

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“…However, in this study, the third segment shown in Fig. 1(a) has trapezoidal shape whereas it was in rectangular shape in Acar and Yilmaz (2013). Therefore, kinetic energies of the vibration modes will be different than those in Acar and Yilmaz (2013).…”

Section: Analytical Modelmentioning

confidence: 64%

“…In Acar and Yilmaz (2013), it was shown that a vibration stop band is formed between the first two natural frequencies of an inertial amplification mechanism. Moreover, the first antiresonance frequency of the mechanism determines the stop band depth.…”

Section: Analytical Modelmentioning

confidence: 99%

“…1(b)-(d) shows the first three vibration modes of the inertial amplification mechanism. In Acar and Yilmaz (2013), a similar mechanism was used to form a 2D phononic band gap structure. However, in this study, the third segment shown in Fig.…”

Section: Analytical Modelmentioning

confidence: 99%

“…1(a) has trapezoidal shape whereas it was in rectangular shape in Acar and Yilmaz (2013). Therefore, kinetic energies of the vibration modes will be different than those in Acar and Yilmaz (2013). However, potential energy calculations are based on the properties of the thin beam sections (second and fourth) and the calculations in Acar and Yilmaz (2013) can be used.…”

Section: Analytical Modelmentioning

confidence: 99%

“…In this method, a band gap is created with the amplification of a small mass by using displacement amplification mechanisms. Advantage of the inertial amplification method is to obtain wide low-frequency band gaps without increasing the total mass or decreasing the total stiffness of the lattice (Yilmaz et al, 2007;Yilmaz and Hulbert, 2010;Acar and Yilmaz, 2013;Taniker and Yilmaz, 2013a,b).…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Design, analysis and experimental investigation of three-dimensional structures with inertial amplification induced vibration stop bands

Taniker

Yılmaz

2015

International Journal of Solids and Structures

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a b s t r a c tThree-dimensional (3D) phononic band gap structures are formed using identical inertial amplification mechanisms. The resonance and antiresonance frequencies that characterize the first vibration stop band of the building block mechanism are obtained analytically and by finite element method. The mechanism is optimized to yield wide vibration stop bands in two different 3D structures, namely, an octahedron and a 2 Â 3 array of octahedrons. Furthermore, these structures are manufactured using a 3D polymer printer and their experimental frequency responses are obtained. Structural damping is added to the finite element model in order to match the resonant peak magnitudes of the numerical and experimental frequency response results. It is demonstrated that the 3D structures are capable of isolating excitations in longitudinal and two transverse directions in a very wide frequency range.

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Section: Analytical Modelmentioning

confidence: 64%

Section: Analytical Modelmentioning

confidence: 99%

Section: Analytical Modelmentioning

confidence: 99%

Section: Analytical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Design, analysis and experimental investigation of three-dimensional structures with inertial amplification induced vibration stop bands

Taniker

Yılmaz

2015

International Journal of Solids and Structures

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Dynamics of Locally Resonant and Inertially Amplified Lattice Materials

Yılmaz¹,

Hulbert

2017

Dynamics of Lattice Materials

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Tailoring Structure‐Borne Sound through Bandgap Engineering in Phononic Crystals and Metamaterials: A Comprehensive Review

Oudich

Gerard

Deng

et al. 2022

Adv Funct Materials

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In solid state physics, a bandgap (BG) refers to a range of energies where no electronic states can exist. This concept was extended to classical waves, spawning the entire fields of photonic and phononic crystals where BGs are frequency (or wavelength) intervals where wave propagation is prohibited. For elastic waves, BGs are found in periodically alternating mechanical properties (i.e., stiffness and density). This gives birth to phononic crystals and later elastic metamaterials that have enabled unprecedented functionalities for a wide range of applications. Planar metamaterials are built for vibration shielding, while a myriad of works focus on integrating phononic crystals in microsystems for filtering, waveguiding, and dynamical strain energy confinement in optomechanical systems. Furthermore, the past decade has witnessed the rise of topological insulators, which leads to the creation of elastodynamic analogs of topological insulators for robust manipulation of mechanical waves. Meanwhile, additive manufacturing has enabled the realization of 3D architected elastic metamaterials, which extends their functionalities. This review aims to comprehensively delineate the rich physical background and the state-of-the art in elastic metamaterials and phononic crystals that possess engineered BGs for different functionalities and applications, and to provide a roadmap for future directions of these manmade materials.

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Experimental and numerical evidence for the existence of wide and deep phononic gaps induced by inertial amplification in two-dimensional solid structures

Cited by 127 publications

References 32 publications

Design, analysis and experimental investigation of three-dimensional structures with inertial amplification induced vibration stop bands

Design, analysis and experimental investigation of three-dimensional structures with inertial amplification induced vibration stop bands

Dynamics of Locally Resonant and Inertially Amplified Lattice Materials

Tailoring Structure‐Borne Sound through Bandgap Engineering in Phononic Crystals and Metamaterials: A Comprehensive Review

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