• The reverberation-ray matrix a...

Result: The reverberation-ray matrix and transfer matrix analyses of unidirectional wave motion

Title:
The reverberation-ray matrix and transfer matrix analyses of unidirectional wave motion
Authors:
PAO, Yih-Hsing, CHEN, Wei-Qiu, SU, Xian-Yue
Source:
Selected papers presented at the International Symposium on Mechanical Waves in SolidsWave motion. 44(6):419-438
Publisher Information:
Amsterdam: Elsevier, 2007.
Publication Year:
2007
Physical Description:
print, 34 ref
Original Material:
INIST-CNRS
Subject Terms:
Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Approximation et analyse numériques, Numerical approximation and analysis, Equations différentielles et équations aux dérivées partielles, problèmes aux valeurs limites, Ordinary and partial differential equations, boundary value problems, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des solides, Solid mechanics, Mécanique des structures et des milieux continus, Structural and continuum mechanics, Elasticité statique (thermoélasticité...), Static elasticity (thermoelasticity...), Vibration, onde mécanique, stabilité dynamique (aéroélasticité, contrôle vibration...), Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...), Acoustique, Acoustics, Acústica, Construction à ossature, Frame construction, Construcción esquelética, Equation état, Equations of state, Ecuación de estado, Estimation mouvement, Motion estimation, Estimación movimiento, Géophysique, Geophysics, Geofísica, Matrice transfert, Transfer matrix, Matriz traspaso, Milieu stratifié, Stratified medium, Medio estratificado, Modélisation, Modeling, Modelización, Méthode matricielle, Matrix method, Método matriz, Onde flexion, Bending wave, Onda flexión, Onde longitudinale, Longitudinal wave, Onda longitudinal, Onde sismique, Seismic wave, Onda sísmica, Onde élastique, Elastic wave, Onda elástica, Problème 2 points limites, Two point boundary value problem, Problema 2 puntos límites, Problème valeur initiale, Initial value problem, Problema valor inicial, Réponse transitoire, Transient response, Respuesta transitoria, Système paramètre variable, Time varying system, Sistema parámetro variable, Théorie rayon, Ray theory, Teoría rayo, Transformation Fourier, Fourier transformation, Transformación Fourier, Variable état, State variable, Variable estado, Fourier synthesis of transient waves, Method of reverberation-ray matrix, Method of transfer matrix, State equation, Unidirectional wave
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027, China
Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China
Department of Mechanics anal Engineering Science, Peking University, Beijing 100871, China
ISSN:
0165-2125
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=18892787
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics

Physics: solid mechanics

Theoretical physics
Accession Number:
edscal.18892787
Database:
PASCAL Archive

Further Information

The unidirectional wave motions of many physical systems may all be represented by a set of state equations describing the dynamic state of certain physical variables in acoustics, mechanics, optics, and geophysics, varying in time and in one-spatial coordinate. Through the application of Fourier transforms in time variable, the state equations are reduced to a linear system of differential equations with variable coefficients, which may be analyzed by the traditional method of transfer matrix (the propagator of state variables) or the recently developed method of reverberation-ray matrix. The mathematical formulations of both matrices and applications to seemingly two unrelated physical systems, the propagation of axial and flexural waves in a multi-branched framed structure, and that of seismic waves in a layered medium, are reviewed in this article. By detailed comparisons with the method of transfer matrix and others, we conclude that the reverberation-ray analysis is a viable alternative to the solutions of initial value and two-point boundary value problems of unidirectional wave motions.