A semi-analytical finite element method is used to determine the free vibration characteristics of thin orthotropic cantilever circular cylindrical shells. Love's first approximation shell theory is used for the formulation. The effect of the variation of thickness along the axial direction on natural frequencies, especially on the lowest frequency, has been studied with a constraint on the total mass of the shell for a particular length to middle surface radius ratio. Studies have been conducted for different degrees of orthotropy and various values of length to radius ratio. © 1992.

Natrajan Ganesan

Cylinders (shapes)

Degrees of freedom (mechanics)

finite element method

Vibrations (mechanical)

AXIAL THICKNESS VARIATION

FIRST APPROXIMATION SHELL THEORY

Free vibration analysis

ORTHOTROPIC CANTILEVER SHELLS

Shells (structures)

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Vibration analysis of orthotropic cantilever cylindrical shells with axial thickness variation

Composite Structures

Cylindrical shells with discontinuity in the thickness and subjected to harmonic axisymmetric load are analyzed for a clamped-free end condition. The loadings considered are uniform internal pressure and circular ring load at the tip. The semi-analytical finite element method is used for the analysis. A thin shell finite element method is used for the analysis. A thin shell finite element with four degrees of freedom per node and two nodes per element is used. Three shell models are analyzed for possible reduction of maximum displacement and maximum stress by choosing the discontinuity at different locations. Numerical results are presented for the first three modes and for various step-ratios in the thickness. The weight of the shell is kept constant for various step-ratios. It is shown that the maximum displacement and maximum stress decreases for certain types of thickness variations. © 1995.

Computers and Structures

Dynamic response of cantilever cylindrical shells with discontinuity in thickness subjected to axisymmetric load

Computers & Structures

High-precision finite element analysis of cylindrical shells

Journal of Sound and Vibration

Exact solutions for the free vibrations of open cylindrical shells with circumferentially varying curvature and thickness

Soviet Applied Mechanics

Optimizing cylindrical shells of variable thickness with axisymmetric loading

Bulletin of JSME

Vibrations of a Cylindrical Shell with Variable Thickness Capped by a Circular Plate

Free vibration analysis of circular cylindrical shells

Journal	Composite Structures
ISSN	02638223
Open Access	No