Journal Article10.1016/J.JSV.2009.05.014
Free vibration analysis of an eccentric hollow cylinder using exact 3D elasticity theory
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TL;DR: In this article, the translational addition theorem for cylindrical wave functions in conjunction with appropriate orthogonal series expansions and the pertinent boundary conditions are employed to develop an exact 3D elasticity solution for free vibrations of a simply (shear diaphragm) supported elastic circular cylinder of finite length with an eccentrically located inner circular cavity.
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About: This article is published in Journal of Sound and Vibration. The article was published on 09 Oct 2009. The article focuses on the topics: Normal mode & Finite element method.
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Citations
Free and forced vibrations of hollow elastic cylinders of finite length.
TL;DR: An analytical model of axisymmetric vibrations of hollow elastic circular cylinders with arbitrary boundary conditions is presented and it is shown that just two terms in each series are sufficient to determine several resonance frequencies of cylinders with certain specified boundary conditions.
15
Three dimensional non-axisymmetric transient acoustic radiation from an eccentric hollow cylinder
TL;DR: Theoretical analysis and detailed numerical simulations for three-dimensional nonstationary vibroacoustic response of a doubly fluid-loaded infinitely long eccentric hollow elastic circular cylinder of arbitrary wall thickness, under arbitrary non-axisymmetric time-dependent on-surface mechanical drives are presented in this article.
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Dispersion relations of axisymmetric wave propagation in initially twisted bi-material compounded cylinders
TL;DR: In this paper, the dispersion relations of axisymmetric wave propagation in initially twisted bi-material compound cylinders, within the scope of the piecewise homogeneous body model, utilizing 3D linearized wave propagation theory in an initially stressed body.
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Vibration Analysis of a Transversely Isotropic Hollow Cylinder by Using the Matrix Frobenius Method
TL;DR: In this paper, the displacement potential functions have been introduced in the equations of motion and heat conduction to decouple purely shear and longitudinal motions, and the system of governing partial differential equations is reduced to four second-order coupled ordinary differential equations in radial coordinate.
9
Linear Solution for Liquid Sloshing in an Upright Elliptical Cylindrical Container with an Eccentric Core Barrel
TL;DR: In this paper, a three-dimensional hydrodynamic analysis based on linear water wave theory and separation of variables in elliptical coordinates is performed to investigate the free sloshing charac...
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References
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Applied numerical analysis
Curtis F. Gerald,Patrick O. Wheatley +1 more
- 01 Jan 1970
TL;DR: The fifth edition of this book as mentioned in this paper continues teaching numerical analysis and techniques, and is suitable for students with mathematics and engineering backgrounds, the breadth of topics (partial differential equations, systems of nonlinear equations, and matrix algebra), provide comprehensive and flexible coverage of numerical analysis.
2.3K
Applied Numerical Analysis.
TL;DR: The fifth edition of this book as mentioned in this paper continues teaching numerical analysis and techniques, and is suitable for students with mathematics and engineering backgrounds, the breadth of topics (partial differential equations, systems of nonlinear equations, and matrix algebra), provide comprehensive and flexible coverage of numerical analysis.
1.7K
Vibration of thick cylindrical shells on the basis of three-dimensional theory of elasticity
TL;DR: In this article, an approximate analysis using a layerwise approach is presented to study the vibration of thick circular cylindrical shells on the basis of three-dimensional theory of elasticity.
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