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Journal ArticleDOI

Recent research advances in the dynamic behavior of shells: 1989–2000, Part 2: Homogeneous shells

01 Sep 2002-Applied Mechanics Reviews (American Society of Mechanical Engineers)-Vol. 55, Iss: 5, pp 415-434
About: This article is published in Applied Mechanics Reviews.The article was published on 2002-09-01. It has received 193 citations till now.
Citations
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Journal ArticleDOI
TL;DR: In this paper, the effect of Carbon Nanotube (CNT) agglomeration on free vibrations of laminated composite doubly-curved shells and panels reinforced by CNTs is investigated.
Abstract: This paper aims at investigating the effect of Carbon Nanotube (CNT) agglomeration on the free vibrations of laminated composite doubly-curved shells and panels reinforced by CNTs. The great performances of doubly-curved structures are joined with the excellent mechanical properties of CNTs. Several laminations schemes and various CNT exponential distributions along the thickness of the structures are considered. Thus, it is evident that the shell dynamic behavior can be affected by many parameters which characterize the reinforcing phase. A widespread parametric study is performed in order to show the natural frequency variation. The general theoretical model for shell structures is based on the so-called Carrera Unified Formulation (CUF) which allows to consider several Higher-order Shear Deformations Theories (HSDTs). In addition, a complete characterization of the mechanical properties of CNTs is presented. The governing equations for the free vibration analysis are solved numerically by means of the well-known Generalized Differential Quadrature (GDQ) method due to its accuracy, stability and reliability features.

300 citations

Journal ArticleDOI
TL;DR: In this paper, a unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes.

138 citations

Journal ArticleDOI
Guoyong Jin1, Tiangui Ye1, Yuehua Chen1, Zhu Su1, Yuquan Yan1 
TL;DR: In this paper, a unified and exact solution method for the free vibration analysis of composite laminated cylindrical shells with general elastically restrained boundaries and arbitrary lamination schemes is developed, where each of the shell displacements, regardless of boundary conditions, is constructed as a standard Fourier cosine series supplemented with auxiliary functions introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the edges.

128 citations

References
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Journal ArticleDOI
TL;DR: In this article, a study on the vibration of cylindrical shells made of a functionally gradient material (FGM) composed of stainless steel and nickel is presented, the objective is to study the natural frequencies, the influence of constituent volume fractions and the effects of configurations of the constituent materials on the frequencies.

726 citations

Journal ArticleDOI
TL;DR: In this article, the authors focus mainly on methods developed at the University of Southampton since 1964 to analyze and predict the free and forced wave motion in continuous periodic engineering structures and present sample curves of the propagation and attenuation constants pertaining to these structures.

713 citations

Journal ArticleDOI
TL;DR: In this paper, a new structure (shell or plate) containing an integrated distributed piezoelectric sensor and actuator is proposed, where the distributed sensing layer monitors the structural oscillation due to the direct PDE and the distributed actuator layer suppresses the oscillation via the converse PDE.

642 citations

Journal ArticleDOI
TL;DR: In this paper, the free vibration problem of a homogeneous isotropic thick cylindrical shell or panel subjected to a certain type of simply supported edge boundary conditions is considered, and the governing equations of three-dimensional linear elasticity are employed and solved by using a new iterative approach which, in practice, leads to the prediction of the exact frequencies of vibration.

190 citations

Journal ArticleDOI
TL;DR: In this paper, a review of the free vibration analysis of thin, moderately thick, and thick shallow shells is presented, focusing on research advances in vibration studies since the 1970s using the classical Kirchhoff-love, first-order and higher-order theories.
Abstract: This review article documents recent developments in the free vibration analysis of thin, moderately thick, and thick shallow shells. An introductory review of the studies in Kirchhoff-Love classical thin shell theory is given. The development of studies in moderately thick shells incor-porating the effects of transverse shear deformation and rotary inertia is detailed. This review article mainly focuses on research advances in vibration studies since the 1970s using the classical Kirchhoff-Love, first-order, and higher-order theories. The validity and range of applicability of these theories are examined.

157 citations