Theory of damped bloch waves in elastic media

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Webb1 jan. 2010 · Abstract We present a theory for Bloch wave propagation in damped (lossy) elastic media, such as phononic crystals. We expand the eigenvalue problem governing … Webb1 dec. 2024 · This book highlights a systematic introduction to the basic theory of elastic wave propagation in complex media. The theory of elastic waves is widely used in fields …

Theory of damped Bloch waves in elastic media - Semantic Scholar

WebbTx− t is the Bloch solution of the undamped medium in generalized coordinates. To obtain the uncoupled ordinary differential equations given in Eq. 6 , ﬁrst the Bloch condition for … Webb8 nov. 2024 · Different from the linear counterpart, elastic wave propagation in nonlinear elastic metamaterials with damping (EMD) systems has much more novel behaviors. It is little work that reveals the nonlinear wave propagation … greenleaf replay

Bloch-Theory-Based Analysis of Damped Phononic Materials

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 … Webb8 feb. 2024 · Theory of damped Bloch waves in elastic media Mahmoud I. Hussein * Department of Aerospace Engineering Sciences, University of Colorado at Boulder, Boulder, Colorado 80309-0429, USA Received 14 October 2009; published 2 December 2009 We present a theory for Bloch wave propagation in damped elastic media. We expand the … WebbWe use Bloch-wave analysis to identify a family of relevant limit models and introduce an approach to select a well-posed effective model under symmetry assumptions on the … flyg mallorca

Erratum: Theory of damped Bloch waves in elastic media [Phys.

‪Mahmoud I. Hussein‬ - ‪Google Scholar‬

WebbHussein, M.I., “Theory of damped Bloch waves in elastic media” Physical Review B, 80, 212301, 2009. Hussein, M.I. “Reduced Bloch mode expansion for periodic media band structure calculations,” Proceedings of the Royal Society A, 465, 2825-2848, 2009. WebbThe consideration of material losses in phononic crystals leads naturally to the introduction of complex valued eigenwavevectors or eigenfrequencies representing the attenuation … greenleaf rental carlsbadWebb1 dec. 2009 · We present a theory for Bloch wave propagation in damped elastic media. We expand the eigenvalue problem governing the dispersion relation using a set of Bloch … fly gnv

"Webb4 juli 2012 · The paper provides a rigorous analysis of the dispersion spectrum of shear horizontal elastic waves in periodically stratified solids. The problem consists of an ordinary differential wave equation with periodic coefficients, which involves two free parameters ω (the frequency) and k (the wavenumber in the direction orthogonal to the … " - Theory of damped bloch waves in elastic media

Theory of damped bloch waves in elastic media

Webb2 dec. 2009 · We present a theory for Bloch wave propagation in damped elastic media. We expand the eigenvalue problem governing the dispersion relation using a set of Bloch mode eigenvectors at each wave-vector point. With the assumption of Rayleigh … Webb6 juni 2013 · The work describes the manufacturing, mechanical properties, and wave propagation characteristics of a pyramidal lattice made exhibiting an auxetic (negative …

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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 … Webb10 mars 2010 · In periodic media, there are frequencies for which standing waves, periodic with the period or double period of the cell, on the microscale emerge. These frequencies do not belong to the low-frequency range of validity covered by the classical homogenization theory, which motivates our use of the term ‘high-frequency …

WebbThis formulation can predict all Bloch wave modes (propagating and evanescent), different from the traditional PWE ( approach) that can only compute propagating Bloch modes. 14 Moreover, the solid theory 2,34,35 is regarded. Download : Download high-res image (91KB) Download : Download full-size image Fig. 1. WebbThis paper proposes an I-shaped radial elastic metamaterial with ultra-low-frequency broadband characteristics and studies the propagation characteristics of elastic waves in their quasi-static state. Through the calculation of the dispersion relationship, the frequency response function, and the eigenmode displacement field, it is found that the …

Webb20 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 … Webb2 dec. 2009 · We present a theory for Bloch wave propagation in damped elastic media. We expand the eigenvalue problem governing the dispersion relation using a set of Bloch …

Webb19 mars 2024 · Damping will cause a downward shift to the frequency branches of the band structures, stiffness-proportional damping will mainly affect the optical modes (higher frequency branches), while mass-proportional damping will mainly affect the acoustic modes (lower frequency branches).

Webb13 apr. 2024 · For a thick area (e.g., nucleus), where the cell thickness is greater than λ TDBS, it is possible to determine the speed of elastic waves by measuring the frequency of the Brillouin oscillations. For a thin area (e.g., the peripheral region), where the cell thickness is less than λ TDBS , the thickness can be deduced from the resonance … fly go airWebbMechanics 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 … greenleaf rent a car santa anaWebbIn 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 … fly goairWebbArticle “Theory of damped Bloch waves in elastic media” Detailed information of the J-GLOBAL is a service based on the concept of Linking, Expanding, and Sparking, linking science and technology information which hitherto stood alone to support the generation of ideas. By linking the information entered, we provide opportunities to make … greenleaf researchWebbTheory of damped Bloch waves in elastic media Hussein, Mahmoud I. How much do you like this book? What’s the quality of the file? Download the book for quality assessment. What’s the quality of the downloaded files? Volume: 80. Language: english. Journal: Physical Review B. DOI: 10.1103/PhysRevB.80.212301. Date: green leaf residential care maineWebb28 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. flyg miami new yorkWebb8 nov. 2024 · The displacement amplification mechanism of the scissor-like structure in SEMM is exploited to amplify the damping ratio for stronger vibration mitigation through … greenleaf residential estate