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Propagation of gravitational and acoustic plane waves in a flat universe filled with a general relativistic, homogeneous and isotropic, spatially flat continuum is studied. The continuum is described by analogues of nonrelativistic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Vratko Polák , Vladimír Balek

The definition of the Riemann-Cartan space of the plane wave type is given. The condition under which the torsion plane waves exist is found. It is expressed in the form of the restriction imposed on the coupling constants of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 O. V. Babourova , B. N. Frolov , E. A. Klimova

We consider a partially hinged rectangular plate and its normal modes. There are two families of modes, longitudinal and torsional. We study the variation of the corresponding eigenvalues under domain deformations. We investigate the…

Analysis of PDEs · Mathematics 2016-12-13 Elvise Berchio , Davide Buoso , Filippo Gazzola

We discuss a random matrix model of systems with an approximate symmetry and present the spectral fluctuation statistics and eigenvector characteristics for the model. An acoustic resonator like, e.g., an aluminium plate may have an…

Condensed Matter · Physics 2007-05-23 A. Andersen , C. Ellegaard , A. D. Jackson , K. Schaadt

We consider a Hamiltonian description of the vibrations of a clamped, elastic circular plate. The Hamiltonian of this system features a potential energy with two distinct contributions: one that depends on the local mean curvature of the…

Mesoscale and Nanoscale Physics · Physics 2020-04-14 Dennis P. Clougherty , Eliot Heinrich

A phenomenological model describing the time-frequency dependence of the power spectrum of thin plates vibrating in a wave turbulence regime, is introduced. The model equation contains as basic solutions the Rayleigh-Jeans equipartition of…

Statistical Mechanics · Physics 2017-09-29 T. Humbert , C. Josserand , C. Touzé , O. Cadot

We investigate non-reciprocal wave propagation in spatiotemporal phononic plates. In particular, the first goal of this manuscript is to present a general formulation of the Plane Wave Expansion Method (PWEM) that, in contrast with previous…

Applied Physics · Physics 2020-03-18 Emanuele Riva , Matteo Di Ronco , Gabriele Cazzulani , Francesco Braghin

We report experimental measurements of inertial waves generated by an oscillating cylinder in a rotating fluid. The two-dimensional wave takes place in a stationary cross-shaped wavepacket. Velocity and vorticity fields in a vertical plane…

Fluid Dynamics · Physics 2015-03-13 Pierre-Philippe Cortet , Cyril Lamriben , Frederic Moisy

Solitary-like surface waves that originate from the spatio-temporal evolution of falling liquid films have been the subject of theoretical and experimental research due to their unique properties that are not readily observed in the…

Fluid Dynamics · Physics 2023-01-10 Ivan S. Maksymov , Andrey Pototsky

It was recently observed in a numerical study on a high order perturbation method under heavy fluid loading that a loaded vibrating plate results, not only in the classical frequency shift of the in vacuo single resonance (in both the real…

Classical Physics · Physics 2010-04-26 Pierre-Olivier Mattei

Electrically-excited electroelastic extensional vibrations of an arbitrarily cut three-dimensional piezocrystal resonator are analyzed variationally. A set of trigonometric trial functions applicable to a waveguide behavior of the resonator…

Materials Science · Physics 2007-05-23 O. I. Polovina , V. V. Kurylyuk , O. A. Korotchenkov

Classical methods of sound absorption present fundamental limits that can be overcome by using nonlinear effects. Thin clamped plates have been identified as strongly nonlinear elements, capable of transferring the acoustic power of an…

Applied Physics · Physics 2025-09-17 Alexis Mousseau , Soizic Terrien , Vincent Tournat

Experiments investigating the attenuation and dispersion of surface waves in a variety of ice covers are performed using a refrigerated wave flume. The ice conditions tested in the experiments cover naturally occurring combinations of…

Atmospheric and Oceanic Physics · Physics 2019-02-15 L. J. Yiew , S. M. Parra , D. Wang , D. K. K. Sree , A. V. Babanin , A. W. -K. Law

We investigate elastic periodic structures characterized by topologically nontrivial bandgaps supporting backscattering suppressed edge waves. These edge waves are topologically protected and are obtained by breaking inversion symmetry…

Soft Condensed Matter · Physics 2017-03-08 Raj Kumar Pal , Massimo Ruzzene

We predict the development and propagation of the fluctuations in a perturbed ideally-expanded air jet. A non-propagating harmonic perturbation in the density, axial velocity, and pressure is introduced at the inflow with different…

Fluid Dynamics · Physics 2025-01-16 Osama A. Marzouk

A theoretical analysis of the scattering of plane-wave atomic excitations in disordered solids has been made in terms of the spectral densities. Hybridization between transverse and longitudinal waves of approximately the same frequency is…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. N. Taraskin , S. R. Elliott

The transmission coefficient for vibrational waves crossing an abrupt junction between two thin elastic plates of different widths is calculated. These calculations are relevant to ballistic phonon thermal transport at low temperatures in…

Mesoscale and Nanoscale Physics · Physics 2009-04-21 M. C. Cross , Ron Lifshitz

This paper proposes an efficient semi-analytical method using auxiliary sine series for transverse vibration and sound radiation of a thin rectangular plate with edges elastically restrained against translation and rotation. The…

Applied Physics · Physics 2024-09-17 Guoming Deng , Xian Wu , Changxiao Shao , Songlin Zheng , Jianwang Shao

We consider a particle that is subject to a constant force and scatters inelastically on a vibrating periodically corrugated floor. At small friction and small radius of the circular scatterers the dynamics is dominated by resonances…

Chaotic Dynamics · Physics 2009-11-10 R. Klages , I. F. Barna , L. Matyas

Molecular dynamical (MD) simulations are performed to simulate two dimensional vibrofluidized granular materials in this work. Statistics on simulation results indicate that there exist shocks propagating upward in each vibrating cycle.…

Soft Condensed Matter · Physics 2007-05-23 Kai Huang , Guoqing Miao , Peng Zhang , Yifei Zhu , Rongjue Wei