Natural Vibrations of Open-Variable Thickness Circular Cylindrical Shells in High Temperature Field
Publication: Journal of Aerospace Engineering
Volume 23, Issue 3
Abstract
The feasibility of using the transfer matrix method (TMM) to analyze open-variable thickness circular cylindrical shells exposed to a high-temperature field is explored theoretically. In the approach to the problem, the thermal degradation (TG) of thermoelastic characteristics of the material is considered. Natural frequencies and mode shapes for the cylindrical shells are investigated in detail by combining the vibration theory with the TMM. The governing equations of vibration for this system are expressed by the matrix differential equations, and the coefficient matrices are derived. After the relationship between the transfer matrix and the coefficient matrix is established, the fourth-order Runge-Kutta method is used numerically to solve the matrix equation. Once the transfer matrix of single component has been obtained, the product of each component matrix can compose the matrix of the entire structure. The frequency equations and mode shape are formulated in terms of the elements of the structural matrices. Finite-element numerical simulation has validated the present formulas of natural frequencies. Numerical illustrations, supplying pertinent information on the implications of the TG, are presented for various curvatures, aspect ratios, boundary conditions, and thickness ratios, and the pertinent conclusions are outlined.
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Acknowledgments
The support in this research by the China Postdoctor National Fund through Grant No. UNSPECIFIEDAD4122 awarded in 2008 and Natural Science Foundation of Jiangsu Province through Grant No. UNSPECIFIEDBK2008046 awarded in 2008 to 2011 is deeply acknowledged.
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Published In
Journal of Aerospace Engineering
Volume 23 • Issue 3 • July 2010
Pages: 205 - 212
Copyright
© 2010 ASCE.
History
Received: Mar 31, 2009
Accepted: Oct 7, 2009
Published online: Nov 9, 2009
Published in print: Jul 2010
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