Analysis of Vibration and Wave Propagation in Cylindrical Grid-Like Structures

The wave propagation in and the vibration of cylindrical grid structures are analyzed. The grids are composed of a sequence of identical elementary cells repeating along the axial and the circumferential direction to form a two-dimensional periodic structure. Two-dimensional periodic structures are...

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Main Authors: Sang Min Jeong, Massimo Ruzzene
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2004/629240
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author Sang Min Jeong
Massimo Ruzzene
author_facet Sang Min Jeong
Massimo Ruzzene
author_sort Sang Min Jeong
collection DOAJ
description The wave propagation in and the vibration of cylindrical grid structures are analyzed. The grids are composed of a sequence of identical elementary cells repeating along the axial and the circumferential direction to form a two-dimensional periodic structure. Two-dimensional periodic structures are characterized by wave propagation patterns that are strongly frequency dependent and highly directional. Their wave propagation characteristics are determined through the analysis of the dynamic properties of the unit cell. Each cell here is modelled as an assembly of curved beam elements, formulated according to a mixed interpolation method. The combined application of this Finite Element formulation and the theory of two-dimensional periodic structures is used to generate the phase constant surfaces, which define, for the considered cell lay-out, the directions of wave propagation at assigned frequencies. In particular, the directions and frequencies corresponding to wave attenuation are evaluated for cells of different size and geometry, in order to identify topologies with attractive wave attenuation and vibration confinement characteristics. The predictions from the analysis of the phase constant surfaces are verified by estimating the forced harmonic response of complete cylindrical grids, obtained through the assembly of the unit cells. The considered analysis provides invaluable guidelines for the investigation of the dynamic properties and for the design of grid stiffened cylindrical shells with unique vibration confinement characteristics.
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spelling doaj-art-b70785e25174494597b528cc7c034a152025-02-03T01:24:15ZengWileyShock and Vibration1070-96221875-92032004-01-01113-431133110.1155/2004/629240Analysis of Vibration and Wave Propagation in Cylindrical Grid-Like StructuresSang Min Jeong0Massimo Ruzzene1School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USASchool of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USAThe wave propagation in and the vibration of cylindrical grid structures are analyzed. The grids are composed of a sequence of identical elementary cells repeating along the axial and the circumferential direction to form a two-dimensional periodic structure. Two-dimensional periodic structures are characterized by wave propagation patterns that are strongly frequency dependent and highly directional. Their wave propagation characteristics are determined through the analysis of the dynamic properties of the unit cell. Each cell here is modelled as an assembly of curved beam elements, formulated according to a mixed interpolation method. The combined application of this Finite Element formulation and the theory of two-dimensional periodic structures is used to generate the phase constant surfaces, which define, for the considered cell lay-out, the directions of wave propagation at assigned frequencies. In particular, the directions and frequencies corresponding to wave attenuation are evaluated for cells of different size and geometry, in order to identify topologies with attractive wave attenuation and vibration confinement characteristics. The predictions from the analysis of the phase constant surfaces are verified by estimating the forced harmonic response of complete cylindrical grids, obtained through the assembly of the unit cells. The considered analysis provides invaluable guidelines for the investigation of the dynamic properties and for the design of grid stiffened cylindrical shells with unique vibration confinement characteristics.http://dx.doi.org/10.1155/2004/629240
spellingShingle Sang Min Jeong
Massimo Ruzzene
Analysis of Vibration and Wave Propagation in Cylindrical Grid-Like Structures
Shock and Vibration
title Analysis of Vibration and Wave Propagation in Cylindrical Grid-Like Structures
title_full Analysis of Vibration and Wave Propagation in Cylindrical Grid-Like Structures
title_fullStr Analysis of Vibration and Wave Propagation in Cylindrical Grid-Like Structures
title_full_unstemmed Analysis of Vibration and Wave Propagation in Cylindrical Grid-Like Structures
title_short Analysis of Vibration and Wave Propagation in Cylindrical Grid-Like Structures
title_sort analysis of vibration and wave propagation in cylindrical grid like structures
url http://dx.doi.org/10.1155/2004/629240
work_keys_str_mv AT sangminjeong analysisofvibrationandwavepropagationincylindricalgridlikestructures
AT massimoruzzene analysisofvibrationandwavepropagationincylindricalgridlikestructures