Free Vibration of Layered Circular Cylindrical Shells of Variable Thickness Using Spline Function Approximation
Joint Authors
Lee, Jang Hyun
Lee, Kyung-Ho
Kim, Kyung Su
Viswanathan, K. K.
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-10-28
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Free vibration of layered circular cylindrical shells of variable thickness is studied using spline function approximation by applying a point collocation method.
The shell is made up of uniform layers of isotropic or specially orthotropic materials.
The equations of motions in longitudinal, circumferential and transverse displacement components, are derived using extension of Love's first approximation theory.
The coupled differential equations are solved using Bickley-type splines of suitable order, which are cubic and quintic, by applying the point collocation method.
This results in the generalized eigenvalue problem by combining the suitable boundary conditions.
The effect of frequency parameters and the corresponding mode shapes of vibration are studied with different thickness variation coefficients, and other parameters.
The thickness variations are assumed to be linear, exponential, and sinusoidal along the axial direction.
The results are given graphically and comparisons are made with those results obtained using finite element method.
American Psychological Association (APA)
Viswanathan, K. K.& Kim, Kyung Su& Lee, Kyung-Ho& Lee, Jang Hyun. 2010. Free Vibration of Layered Circular Cylindrical Shells of Variable Thickness Using Spline Function Approximation. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-480500
Modern Language Association (MLA)
Viswanathan, K. K.…[et al.]. Free Vibration of Layered Circular Cylindrical Shells of Variable Thickness Using Spline Function Approximation. Mathematical Problems in Engineering No. 2010 (2010), pp.1-14.
https://search.emarefa.net/detail/BIM-480500
American Medical Association (AMA)
Viswanathan, K. K.& Kim, Kyung Su& Lee, Kyung-Ho& Lee, Jang Hyun. Free Vibration of Layered Circular Cylindrical Shells of Variable Thickness Using Spline Function Approximation. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-480500
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480500