Abstract
We developed a computational method for effectively conducting the free vibration analysis of axisymmetric shells with various shapes. This paper describes a computational algorithm for the free vibration analysis of axisymmetric shells using the Sylvester-transfer stiffness coefficient method (S-TSCM). From the free vibration analyses of three axisymmetric shells (joined conical-cylindrical shell, hermetic capsule and built-up shell), we verified the applicability of the S-TSCM. We then confirmed that the computational power of the S-TSCM is much better than both the finite element-transfer matrix method and finite element-transfer stiffness coefficient method, in terms of computational accuracy and time. In particular, when axisymmetric shells are modeled into a large number of conical shell elements, the S-TSCM is superior to both the bisection method using Sturm sequence property and Jacobi method, in terms of computational time and storage.
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Myung-Soo Choi received his B.S. and M.S. from National Fisheries University of Pusan, Korea, in 1992 and 1994, respectively. He then received his Ph.D. from Pukyong National University in 1999. Dr. Choi is currently an Associate Professor at the Department of Maritime Police Science at Chonnam National University in Yeosu, Korea. His research interests include mechanical vibration, structural dynamics, and optimum design.
Takahiro Kondou received his B.E., M.E. and Dr. Eng. from Kyusyu University, Japan, in 1978, 1980 and 1987, respectively. Dr. Kondou is currently a Professor at the Department of Mechanical Engineering, Faculty of Engineering, Kyushu University in Fukuoka, Japan. His research interests include dynamics of machinery, mechanical vibration and optimum design.
Hee-Jong Choi received his B.S. and M.S. from Pukyong National University, Korea, in 1996 and 1998, respectively. He then received his Ph.D. from Pusan National University, Korea, in 2004. Dr. Choi is currently an Associate Professor at the Department of Naval Architecture and Ocean Engineering at Chonnam National University in Yeosu, Korea. His research interests include fluid mechanics, offshore structure design and optimum design.
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Choi, MS., Kondou, T. & Choi, HJ. Free vibration analysis of axisymmetric shells with various shapes using Sylvester-transfer stiffness coefficient method. J Mech Sci Technol 29, 2755–2766 (2015). https://doi.org/10.1007/s12206-015-0604-1
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DOI: https://doi.org/10.1007/s12206-015-0604-1