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Computing the complex wave and dynamic behavior of one-dimensional phononic systems using a state-space formulation

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Spectral Element Method in Structural Dynamics
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Algebraic Riccati Equations
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Acoustic Metamaterials and Phononic Crystals
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Band gap behaviour of optimal one-dimensional composite structures with an additive manufactured stiffener
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On the low- and mid-frequency forced response of elastic structures using wave finite elements with one-dimensional propagation
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A wave-based model reduction technique for the description of the dynamic behavior of periodic structures involving arbitrary-shaped substructures and large-sized finite element models
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Acoustic metamaterial beams based on multi-frequency vibration absorbers
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Analysis of flexural wave bandgaps in periodic plate structures using differential quadrature element method
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An improved fast plane wave expansion method for topology optimization of phononic crystals
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Mechanics of longitudinal and flexural locally resonant elastic metamaterials using a structural power flow approach
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Vibro-acoustic metamaterial for longitudinal vibration suppression in a low frequency range
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Fluid-structural coupling in metamaterial plates for vibration and noise mitigation in acoustic cavities
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On the effect of damping on dispersion curves in plates
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Wave propagation in periodically undulated beams and plates
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Wave propagation, reflection and transmission in non-uniform one-dimensional waveguides
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Damping of structural vibrations in beams and elliptical plates using the acoustic black hole effect
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Stable methods to solve the impedance matrix for radially inhomogeneous cylindrically anisotropic structures
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A Bloch-based procedure for dispersion analysis of lattices with periodic time-varying properties
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Convergence problem of plane-wave expansion method for phononic crystals
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Wave dispersion analysis of multi-story frame building structures using the periodic structure theory
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Flexural wave band gaps in multi-resonator elastic metamaterial Timoshenko beams
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A lightweight vibro-acoustic metamaterial demonstrator: Numerical and experimental investigation
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Mechanical circulator for elastic waves by using the nonreciprocity of flexible rotating rings
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Computation of dispersion diagrams for periodic porous materials modeled as equivalent fluids
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Multimodal analysis of acoustic propagation in three-dimensional bends
inferredcites →https://doi.org/10.1016/s1369-7021(09)70315-3openalex-snapshot
Phononic crystals and acoustic metamaterials
inferredcites →https://doi.org/10.1038/nature12608openalex-snapshot
Sound and heat revolutions in phononics
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Broadband Bending of Flexural Waves: Acoustic Shapes and Patterns
inferredcites →https://doi.org/10.1038/s41598-019-41999-0openalex-snapshot
Wave attenuation and trapping in 3D printed cantilever-in-mass metamaterials with spatially correlated variability
inferredcites →https://doi.org/10.1063/1.3367739openalex-snapshot
Evidences of evanescent Bloch waves in phononic crystals
inferredcites →https://doi.org/10.1063/1.4819209openalex-snapshot
Complex band structures of two dimensional phononic crystals: Analysis by the finite element method
inferredcites →https://doi.org/10.1063/1.5007682openalex-snapshot
Perspective: Acoustic metamaterials in transition
inferredcites →https://doi.org/10.1063/1.5042252openalex-snapshot
Elastic wave propagation in moving phononic crystals and correlations with stationary spatiotemporally modulated systems
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Manipulating waves by distilling frequencies: a tunable shunt-enabled rainbow trap
inferredcites →https://doi.org/10.1090/s0002-9939-1959-0108628-xopenalex-snapshot
On the Matrix Riccati Equation
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Algebraic Riccati Equations
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Reduced Bloch mode expansion for periodic media band structure calculations
inferredcites →https://doi.org/10.1103/physrevb.72.195118openalex-snapshot
Extended plane-wave expansion method in three-dimensional anisotropic photonic crystals
inferredcites →https://doi.org/10.1103/physrevb.80.092301openalex-snapshot
Evanescent Bloch waves and the complex band structure of phononic crystals
inferredcites →https://doi.org/10.1103/physrevb.86.104304openalex-snapshot
Complexity of band structures: Semi-analytical finite element analysis of one-dimensional surface phononic crystals
inferredcites →https://doi.org/10.1103/physrevb.93.165132openalex-snapshot
Inverse dispersion method for calculation of complex photonic band diagram and PT symmetry
inferredcites →https://doi.org/10.1103/physreve.84.065701openalex-snapshot
Ultrawide phononic band gap for combined in-plane and out-of-plane waves
inferredcites →https://doi.org/10.1103/physrevlett.65.3152openalex-snapshot
Existence of a photonic gap in periodic dielectric structures
inferredcites →https://doi.org/10.1103/physrevlett.69.2772openalex-snapshot
Calculation of photon dispersion relations
inferredcites →https://doi.org/10.1103/physrevlett.71.2022openalex-snapshot
Acoustic band structure of periodic elastic composites
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The numerical solution of the matrix Riccati differential equation
inferredcites →https://doi.org/10.1109/tac.1985.1103822openalex-snapshot
Numerical integration of the differential matrix Riccati equation
inferredcites →https://doi.org/10.1115/1.4026911openalex-snapshot
Dynamics of Phononic Materials and Structures: Historical Origins, Recent Progress, and Future Outlook
inferredcites →https://doi.org/10.1119/1.1934457openalex-snapshot
Introduction to Solid State Physics
inferredcites →https://doi.org/10.1121/1.1887126openalex-snapshot
Finite element prediction of wave motion in structural waveguides
inferredcites →https://doi.org/10.1121/1.3672647openalex-snapshot
Wave motion and dispersion phenomena: Veering, locking and strong coupling effects
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A study of wave propagation in varying cross-section waveguides by modal decomposition. Part I. Theory and validation
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A study of wave propagation in varying cross-section waveguides by modal decomposition. Part II. Results
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The Spectral Element Method in Structural Dynamics
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Vibrant times for mechanical metamaterials
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A Matrix Differential Equation of Riccati Type

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Bloch wavenumber identification of periodic structures using Prony’s method
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An explicit solution for the design of a target-frequency-customized, piezoelectric-defect-introduced phononic crystal for elastic wave energy harvesting
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