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Journal ArticleDOI

The Effect of Transverse Shear, Rotary Inertia on Wave Propagation in Laminated Piezoelectric Cylindrical Shells in Thermal Environment:

26 Jul 2007-Journal of Reinforced Plastics and Composites (SAGE Publications)-Vol. 26, Iss: 15, pp 1523-1538
TL;DR: In this article, the effects of transverse shear, rotary inertia and thermal loads on wave propagation in orthotropic laminated piezoelectric cylindrical shells are studied.
Abstract: The effects of transverse shear, rotary inertia and thermal loads on wave propagation in orthotropic laminated piezoelectric cylindrical shells are studied in this paper. A dynamic model of laminated piezoelectric cylindrical shell is derived based on Cooper-Naghdi shell theory. The wave characteristics curves are obtained by solving an eigenvalue problem. Besides discussing the dispersion curves for different wave modes, effects of layer numbers, the thickness of piezoelectric layers and thermal environment on the wave characteristics curves were also studied. This solution method is validated by the classical solution of an elastic shell, and may be used to investigate wave propagation in laminated piezoelectric cylindrical shells with various laminated materials, layer numbers and thickness, in thermal environment.
Citations
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Journal ArticleDOI
TL;DR: A review of the state-of-the-art in the area of dynamic analysis of composite shells can be found in this article, where the main aim is to provide a broad perspective of the current state of the art in this field.

364 citations


Cites background or methods from "The Effect of Transverse Shear, Rot..."

  • ...Dynamic thermal analyses have also been studied by Dong and Wang [28], Wu and Chiu [88], and Kim et al....

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  • ...Dong and Wang [28] analyzed the effect of transverse shear and rotary inertia on wave propagation in laminated piezoelectric cylindrical shells....

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Journal ArticleDOI
TL;DR: In this paper, the wave propagation in a piezoelectric cylindrical composite shell reinforced with carbon nanotubes (CNTs) by using the Mori-Tanaka micromechanical model and considering the transverse shear effects and rotary inertia via the first-order shear deformation shell theory is studied and analyzed.

38 citations

Journal ArticleDOI
TL;DR: In this article, the effects of both partial and complete nanotube agglomerations on the effective elastic properties and wave dynamics are examined within various axial and circumferential wave numbers for different wave modes by solving an eigenvalue problem.
Abstract: Dynamics of wave propagation in carbon nanotube (CNT)-reinforced piezocomposite cylindrical shells affected by nanotube agglomeration is investigated in this study for the first time by developing an analytical approach incorporating existing theories and models. The Mori-Tanaka micromechanics model in combination of the first-order shear deformation shell theory and wave propagation solution are employed to determine wave propagation characteristics of piezocomposite cylindrical shells reinforced with agglomerated CNTs. The effects of both partial and complete nanotube agglomerations on the effective elastic properties and wave dynamics are examined within various axial and circumferential wave numbers for different wave modes by solving an eigenvalue problem. It is found that nanotube agglomeration leads to the reduction of wave phase velocity as a result of decrease in the effective elastic properties. The developed methodology in this study can be used for analysis of the data of structural health monitoring by the non-destructive testing (NDT) in estimating the degree of nanotube agglomeration in nanocomposites.

34 citations

Journal ArticleDOI
TL;DR: In this paper, a free vibration analysis is carried out for piezoelectric coupled carbon nanotube (CNT)-reinforced composite cylindrical shells with the influences of various boundary conditions and hygrothermal environmental conditions for the first time.
Abstract: Free vibration analysis is carried out for piezoelectric coupled carbon nanotube (CNT)-reinforced composite cylindrical shells with the influences of various boundary conditions and hygrothermal environmental conditions for the first time. A simple and effective non-iterative mathematical method is used to calculate the natural frequencies. The equilibrium equations of motion are obtained based on the first-order shear deformation shell theory with the coupling effects of piezoelectricity, temperature, and moisture, respectively based on the Maxwell equation, the Fourier heat conduction equation, and the Fickian moisture diffusion equation. The Mori-Tanaka micromechanics model is used to estimate the resulting material properties for a composite shell reinforced with CNTs. Presented methodology and attained results are validated with the existing results in the literature. The effects of the boundary conditions, lamination stacking sequence, volume fraction and orientation of CNTs, piezoelectricity, and geometry of the shell on the natural frequencies of the shell are investigated. A moderate effect of temperature/moisture variation on the natural frequencies is also observed. It is found that the influence of structural boundary conditions is more significant at higher CNT volume fractions and for thicker and shorter shells, and the piezoelectricity effect is more obvious at higher circumferential mode. The model and results presented in this study can be utilized to determine vibration characteristics of smart CNT-reinforced composites subjected to hygrothermal loading as well as mechanical loading.

34 citations

Journal ArticleDOI
TL;DR: In this paper, the effects of the piezoelectricity and its polarization on the wave dispersion behavior in different composites are studied for the first time, and the results can be used for solving a wave propagation problem in smart composite shell structures for dynamic stability evaluation and health monitoring.

33 citations

References
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Book
01 Jan 1892
TL;DR: Webb's work on elasticity as mentioned in this paper is the outcome of a suggestion made to me some years ago by Mr R. R. Webb that I should assist him in the preparation of a work on Elasticity.
Abstract: The present treatise is the outcome of a suggestion made to me some years ago by Mr R. R. Webb that I should assist him in the preparation of a work on Elasticity. He has unfortunately found himself unable to proceed with it, and I have therefore been obliged to take upon myself the whole of the work and the whole of the responsibility. I wish to acknowledge at the outset the debt that I owe to him as a teacher of the subject, as well as my obligation for many valuable suggestions chiefly with reference to the scope and plan of the work, and to express my regret that other engagements have prevented him from sharing more actively in its production. The division of the subject adopted is that originally made by Clebsch in his classical treatise, where a clear distinction is ill-awn between exact solutions for bodies all whose dimensions are finite and approximate solutions for bodies some of whose dimensions can be regarded as infinitesimal. The present volume contains the general mathematical theory of the elastic properties of the first class of bodies, and I propose to treat the second class in another volume. At Mr Webb's suggestion, the exposition of the theory is preceded by an historical sketch of its origin and development. Anything like an exhaustive history has been rendered unnecessary by the work of the late Dr Todhunter as edited by Prof Karl Pearson, but it is hoped that the brief account given will at once facilitate the comprehension of the theory and add to its interest. Readers of the historical work referred to will appreciate the difficulty of giving within a reasonable compass a complete account of all the valuable researches that have been made; and the aim of this book is rather to present a connected account of the theory in its present state, and an indication of the way in which that state has been attained, avoiding on the one hand merely analytical developments, and on the other purely technical details.

7,269 citations

BookDOI
01 Jan 1999

1,585 citations


"The Effect of Transverse Shear, Rot..." refers background in this paper

  • ...Eringen [7,8] gave an exposition of the developments in microcontinuum field theories of solids including electromagnetic (E-M) interactions....

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Journal ArticleDOI

175 citations


"The Effect of Transverse Shear, Rot..." refers background in this paper

  • ...By considering the effects of piezoelectric layers, the dynamic equations of laminated piezoelectric cylindrical shells under thermal load are written as [15]:...

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Journal ArticleDOI
TL;DR: In this paper, an approximate theory for the vibrations of piezoelectric crystal plates in thickness-shear and flexural modes, including the interaction between the elastic and electric fields, is given.
Abstract: An approximate theory is given for the vibrations of piezoelectric crystal plates in thickness‐shear and flexural modes, including the interaction between the elastic and electric fields. The problem of the rectangular, AT, quartz plate is solved and computed frequencies are compared with measurements by Sykes. Algebraic formulas are obtained relating resonant frequencies with dimensions, elastic and electric constants, and orientation of cut.

173 citations


"The Effect of Transverse Shear, Rot..." refers background in this paper

  • ...Wave propagation and vibration in pure piezoelectric structures have been investigated by many researchers [9]....

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Journal ArticleDOI
TL;DR: In this paper, the propagation of free harmonic waves in the axial direction of a cylindrical shell of infinite extent is studied and discussed in the light of previous work on this problem.
Abstract: A Timoshenko‐type theory of cylindrical shells, developed by the authors in a previous paper [G. Herrmann and I. Mirsky, J. Appl. Mech. 23, 563–568 (1956)] for the case of axial symmetry, is generalized presently to include nonaxially symmetric motions. As an application, the propagation of free harmonic waves in the axial direction of a shell of infinite extent is studied and discussed in the light of previous work on this problem.

131 citations


"The Effect of Transverse Shear, Rot..." refers background or result in this paper

  • ...Mirsky, I. and Herrmann, G. (1957)....

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  • ...For shells of moderate thickness, Mirsky and Herrmann [2] presented the shear effects in both axial and circumferential directions, and the rotary inertia effects in the study of axially symmetric wave propagation in a cylindrical shell....

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  • ...These curves, obtained from the formulation presented, have good agreement when compared to Mirsky and Herrmann [2] for pure elastic shell....

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