Theory of damped bloch waves in elastic media
Webb8 feb. 2024 · Seismic metamaterials provide an innovative alternative in earthquake engineering by reducing the hazards from seismic waves without modifying the existing structures. Although many seismic metamaterials have been proposed, a design for a broad bandgap at low frequencies is still in demand. In this study, two novel seismic … Webb14 nov. 2011 · In our formulation, we implement Bloch’s theorem for elastic wave propagation and utilize Timoshenko beam theory for the kinematical description of the …
Theory of damped bloch waves in elastic media
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WebbElastic Bloch waves have a displacement vector of the form where is the periodic part of the Bloch wave, is the angular frequency, t is the time variable, and is the Bloch wavevector. In elastic solids, the stress and strain tensors are … Webb1 jan. 2011 · In this paper, we combine Bloch theory with familiar techniques of structural dynamics to study the effects of energy dissipation (i.e., damping) in an acoustic …
Webb29 apr. 2024 · Analysis of the 2D lattice via Bloch’s theory is performed, and the corresponding dispersion relations are derived. ... Hussein, M.I. Theory of damped Bloch waves in elastic media. Phys. Rev. B 2009, 80, 212301. [Google Scholar] WebbBloch analysis was originally developed to solve Schrodinger’s equation for the electron wave function in a periodic potential field, such as found in a pristine crystalline solid. In the context of Schrodinger’s equation, damping is absent and energy is conserved. More recently, Bloch analysis has found application in periodic macroscale materials, such as …
WebbIn 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 … WebbThe vibration of the periodic oscillator coupled damping beam model is reduced through the band gaps designing method, which can be applied in equivalent engineering structures. In this paper, the flexural wave dispersion relations of the infinite long periodic oscillator coupled damping beam were calculated using the reverberation-ray matrix …
Webb5 apr. 2024 · Bloch-Floquet theory (Bloch, 1929) to consider periodicity conditions on a representative unit cell, restricting the analyzed wave vectors to the fi rst Brillouin zone ( Brillouin, 1953 ) and
Webbpresence of damping results in temporal and spatial at-tenuations of the elastic waves as they freely \progress" through the periodic media [5]. It is therefore necessary to establish rigorous theoretical formalisms for damped Bloch wave propagation, which is the objective of this chapter. To follow is a brief survey of various studies in the bk7 crystalWebb22 mars 2024 · Intended for the vibration and noise control problems faced by many engineering fields, a fresh variety of phononic crystal beam structure was constructed by attaching a one-dimensional periodic multilayer cylinder to a double-layer beam structure. Utilizing the finite element method and the Bloch theorem, the vibration modes of the … bk7 absorptionWebb20 sep. 2011 · Bloch analysis was originally developed to solve Schrödinger’s equation for the electron wave function in a periodic potential field, such as found in a pristine … dat theater böblingenWebb1 apr. 2024 · Theoretical, computational and experimental dynamics of materials and structures, dispersive, dissipative and nonlinear dynamics, periodic systems, disordered systems, phononics including phononic crystals and metamaterials, wave propagation, vibrations and acoustics, thermal transport in crystals, flow control using phononic … dat thanhWebbMechanics and Wave Motion - Jun 09 2024 Provides thorough coverage of the basic concepts of mechanics and wave motion. Broadly it covers the laws of motion and inertial frames, conservation laws, the dynamics of rigid bodies, elasticity, gravitation, simple harmonic motion, damped harmonic oscillator, forced harmonic oscillator, and wave … bk7 creditWebb28 jan. 2010 · Theory of damped Bloch waves in elastic media Mahmoud I. Hussein Phys. Rev. B 80, 212301 (2009) Issue. Vol. 81, Iss. 1 — 1 January 2010. Reuse & Permissions. Authorization Required. Log In. Other Options. dat thanh oaiWebbBloch theorem is used to solve several periodic media and using this theory, the relationship between frequency and wavenumber can be established. Implementation of Bloch theorem has not been reported yet in the context of the piezo embedded mass-in-mass metamaterial. Therefore, wave propagation through finite units is studied through … dat theory