Journal ArticleDOI
Natural frequencies of free finite-length circular cylinders
G. M. L. Gladwell,D.K. Vijay +1 more
TLDR
In this paper, a set of tables for the first five symmetric and first five antisymmetric modes of a hollow or solid cylinder for circumferential wave numbers n = 0, 1, 2 is given.About:
This article is published in Journal of Sound and Vibration.The article was published on 1975-10-08. It has received 63 citations till now. The article focuses on the topics: Radius & Antisymmetric relation.read more
Citations
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Journal ArticleDOI
Dynamic stiffness formulation and free vibration analysis of centrifugally stiffened timoshenko beams
TL;DR: In this article, the dynamic stiffness matrix of a Timoshenko beam has been developed and used to carry out free vibration analysis and the governing differential equations of motion of the beam in free vibration are derived using Hamilton's principle.
Journal ArticleDOI
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.
Journal ArticleDOI
3D vibration analysis of solid and hollow circular cylinders via Chebyshev-Ritz method
TL;DR: In this paper, a general approach for solving the free vibration of solid and hollow circular cylinders is presented, which is based on the small-strain, linear and exact elasticity theory.
Journal ArticleDOI
Prediction of natural frequencies of finite length circular cylindrical shells
Chong Wang,Joseph C. S. Lai +1 more
TL;DR: In this paper, a wave approach is introduced to predict the natural frequencies of finite length circular cylindrical shells with different boundary conditions without simplifying the equations of motion, and the results obtained compare favourably with those obtained using the finite element method.
Journal ArticleDOI
The free vibrations of inhomogeneous elastic cylinders and spheres
Paul R. Heyliger,A. Jilani +1 more
TL;DR: In this article, the variational statement, governing equations and corresponding Ritz approximations are derived in Cartesian, cylindrical and spherical coordinates for the evaluation of the natural frequencies of free vibrations of elastic cylinders and spheres.
References
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Free Vibrations of Circular Cylindrical Shells
TL;DR: In this article, a compilation of tables giving frequencies and mode shapes of vibrating cylindrical shells is presented for research and development engineers as well as for active scientists working in wave propagation and dynamics of thin shells.
Journal ArticleDOI
Finite element analysis of the axisymmetric vibrations of cylinders
G. M. L. Gladwell,U.C. Tahbildar +1 more
TL;DR: In this article, a finite element analysis for finite and infinite solid or hollow cylinders in axisymmetric vibration is presented, and excellent agreement is found with those from the exact Pochhammer theory and Mindlin and McNiven's three-mode theory.
Journal ArticleDOI
Axially Symmetric Waves in Finite, Elastic Rods
H. D. McNiven,D. C. Perry +1 more
TL;DR: In this paper, an approximate theory of symmetric vibrations of elastic rods is used to develop frequency equations governing the vibrations of finite rods, which are used to form frequency spectra that predict the lower resonant frequencies of axially symmetric motions of a circular, elastic rod of given length.
Journal ArticleDOI
Axially Symmetric Waves in Hollow, Elastic Rods. Part II
TL;DR: In this paper, an approximate theory was developed that governs the relationship between the frequency and the propagation constant for axisymmetric waves in hollow rods, and comparison was made for the lowest three branches contained in the theory with the comparable branches from the exact theory when the propagating constant is real.
Journal ArticleDOI
Vibration analysis of axisymmetric resonators
G. M. L. Gladwell,D.K. Vijay +1 more
TL;DR: In this article, a finite element analysis for axisymmetric resonators based on the Clough-Felippa triangular element rotated about the axis of symmetry is presented, which is applied to give design curves for tapered horns, and to analyse two basic resonator designs.