Journal ArticleDOI
Free vibration analysis of doubly curved shallow shells on rectangular planform using three-dimensional elasticity theory
TLDR
In this paper, the free vibration analysis of homogeneous and laminated doubly curved shells on rectangular planform and made of an orthotropic material has been presented using the three-dimensional elasticity equations.About:
This article is published in International Journal of Solids and Structures.The article was published on 1991-01-01. It has received 97 citations till now. The article focuses on the topics: Elasticity (physics) & Orthotropic material.read more
Citations
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Journal ArticleDOI
Recent research advances in the dynamic behavior of shells: 1989-2000, Part 1: Laminated composite shells
Journal ArticleDOI
Accurate equations for laminated composite deep thick shells
TL;DR: In this paper, the authors derived accurate equations of elastic deformation for laminated composite deep, thick shells, including shells with a pre-twist and accurate force and moment resultants which are considerably different than those used for plates.
Journal ArticleDOI
A review on the three-dimensional analytical approaches of multilayered and functionally graded piezoelectric plates and shells
TL;DR: Wu et al. as discussed by the authors presented an overview of various 3D analytical approaches for the analysis of multilayered and functionally graded (FG) piezoelectric plates and shells.
Journal ArticleDOI
A simple first-order shear deformation shell theory for vibration analysis of composite laminated open cylindrical shells with general boundary conditions
Qingshan Wang,Dong Shao,Bin Qin +2 more
TL;DR: In this article, a simple first-order shear deformation shell theory (S-FSDST) was proposed for free and transient vibration analysis of composite laminated open cylindrical shells with general boundary conditions.
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Three-dimensional vibration of laminated cylinders and cylindrical panels with symmetric or antisymmetric cross-ply lay-up
Jianqiao Ye,Kostas P. Soldatos +1 more
TL;DR: In this article, a refined formulation of an approach suitable for three-dimensional vibration analyses of homogeneous and cross-ply laminated cylinders and cylindrical panels is presented based on a recursive rather than a successive approximation formula, regardless of the number of layers of the laminated shell or panel considered.
References
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Book
Theory of plates and shells
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
Book
Vibration of shells
Arthur W. Leissa,R. P. Nordgren +1 more
TL;DR: In this paper, the vibrational characteristics and mechanical properties of shell structures are discussed, including the fundamental equations of thin shell theory, the characteristics of thin circular cylindrical shells, the complicating effects of noncircular cylinders, the properties of spherical shells and the solution of three-dimensional equations of motion for cylinders.
Journal ArticleDOI
Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates
S Srinivasan,A.K. Rao +1 more
TL;DR: In this article, a unified exact analysis for the statics and dynamics of a class of thick laminates is presented, which leads to simple infinite series for stresses and displacements in flexure, forced vibration and "beam-column" type problems and to closed form characteristic equations for free vibration and buckling problems.
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Three‐Dimensional Investigation of the Propagation of Waves in Hollow Circular Cylinders. I. Analytical Foundation
TL;DR: In this paper, the propagation of free harmonic waves along a hollow circular cylinder of infinite extent is discussed within the framework of the linear theory of elasticity, and a characteristic equation appropriate to the circular hollow cylinder is obtained by use of the Helmholtz potentials for arbitrary values of the physical parameters involved.