Abstract
An Arnoldi’s method with new iteration pattern, which was designed for solving a large unsymmetric eigenvalue problem introduced by displacement-pressure FE (Finite Element) pattern of a fluid-structure interaction system, was adopted here to get the dynamic characteristics of the semi-submerged body. The new iteration pattern could be used efficiently to obtain the Arnoldi’s vectors in the shift-frequency technique, which was used for the zero-frequency problem. Numerical example showed that the fluid-structure interaction is one of the important factors to the dynamic characteristics of large semisubmerged thin-walled structures.
Similar content being viewed by others
References
Zienkiewicz O C, Bettess P. Fluid-structure dynamic interaction and wave forces — An introduction to numerical treatment [J].Int J Num Meth Engrg, 1978,13(1):1–16.
Jennings A. Added mass for fluid-structure vibration problems [J].Int J Num Meth Fluid, 1985,5 (9):817–830.
Saad Y. Numerical solution of large nonsymmetric eigenvalue problems [J].Computer Physics Communications, 1989,53(1-3):71–90.
Arnoldi W E. The principle of minimized iterations in the solution of the matrix eigenvalue problem [J].Euart Appl Math 1951,9(1):17–29.
Mazuch T, Horacek J, Trnka Jet al. Natural modes and frequencies of a thin clamed-free steel cylindrical storage tank partially filled with water: FEM and measurement [J].Journal of Sound and Vibration, 1996,193(3):669–690.
Olson L, Vandini T. Eigenproblems from finite element analysis of fluid-structure interactions [J].Computer & Structures, 1989,33(3):679–687.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by LI Jia-chun
Foundation item: the National Natural Science Foundation of China (19872036)
Biographies: XU Gang (1974≈), Doctor REN Wen-min (1937≈), Professor, Doctor
Rights and permissions
About this article
Cite this article
Gang, X., Wen-min, R. Dynamic characteristic analysis of a 3-D semi-submerged body as a fluid-structure interaction system. Appl Math Mech 25, 338–346 (2004). https://doi.org/10.1007/BF02437337
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02437337