[논문]Frequency Response Analysis of Cylindrical Shells Conveying Fluid Using Finite Element Method

Seo Young-Soo; Jeong Weui-Bong; Yoo Wan-Suk; Jeong Ho-Kyeong

doi:10.1007/bf02916184

Frequency Response Analysis of Cylindrical Shells Conveying Fluid Using Finite Element Method 원문보기

Journal of mechanical science and technology, v.19 no.2, 2005년, pp.625 - 633

Seo Young-Soo (Department of Mechanical Engineering, Pusan National University) , Jeong Weui-Bong (Department of Mechanical Engineering, Pusan National University) , Yoo Wan-Suk (Department of Mechanical Engineering, Pusan National University) , Jeong Ho-Kyeong (Structure & Materials Department KSLV Technology Division)

Abstract ▼ AI-Helper

A finite element vibration analysis of thin-walled cylindrical shells conveying fluid with uniform velocity is presented. The dynamic behavior of thin-walled shell is based on the Sanders' theory and the fluid in cylindrical shell is considered as inviscid and incompressible so that it satisfies the Laplace's equation. A beam-like shell element is used to reduce the number of degrees-of-freedom by restricting to the circumferential modes of cylindrical shell. An estimation of frequency response function of the pipe considering of the coupled effects of the internal fluid is presented. A dynamic coupling condition of the interface between the fluid and the structure is used. The effective thickness of fluid according to circumferential modes is also discussed. The influence of fluid velocity on the frequency response function is illustrated and discussed. The results by this method are compared with published results and those by commercial tools.

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가설 설정

(4) The stationary fluid only had an added- mass effect on the cylindrical shell. The internal fluid with velocity had effects on the damping and stiffness of the cylindrical shell.

제안 방법

(1996)studied thin walled _아lells in contact with inviscid, incompressible fluid by finite element method and experiment. The natural frequencies and the mode shapes for the free vibrations of shell were computed and measured. Jain (1974) investigated the dynamics of orthotropic cylindrical shell.
The pipe system with fluid flows has studied for a long time. These studies dealt with pipes as Euler-Bernoulli beam, Timoshenko beam and thin cylindrical shell. The pipe which behaves like a beam was s_나!weyed by Paidoussis and Issid (1974).

대상 데이터

0015 m was considered as a numerical model. The material of shell was taken as steel with density ps—7800 kg/m3, Poisson's ration _히=0.3 and Young's Modulus £=2.05 X 10n N/m2. The first case was a shell not containing fluid.

이론/모형

Jain (1974) investigated the dynamics of orthotropic cylindrical shell. He used the Love's shell theory and potential flow theory. A similar case for the compressible fluid was studied by Chen et al.
(2001) presented the dynamics of the thin shell conveying fluid by applying S* anders thin shell theory. He used the finite element method to analyze the _아lell and the fluid. Lee et al.
In this paper, a cylindrical shell conveying fluids is modeled by finite element method based on Zhang et al. (2001) in order to develop the frequency response analysis of the forced vibration. The dynamic behavior of cylindrical shell is assumed to satisfy the Sanders, thin shell theory.

참고문헌 (15)

Chen, W. Q., Ding, H. J., Guo, Y. M. and Yang, Q. D., 1997, 'Free Vibrations of Fluid-Filled Orthotropic Cylindrical Shells,' Journal of Engineering Mechanics, Vol. 123, pp. 1130-1133

상세보기
Donnel, L. H., 1993, Stability of Thin Walled Tubes Under Tension, NACA Report No. 479
Ginsberg, J. H., 1973, 'The Dynamic Stability of a Pipe Conveying a Pulsatile Flow,' International Journal of Engineering Science, Vol. 11, pp. 1013-1024

상세보기
Jain, R. K., 1974, 'Vibration of Fluid-Filled Orthotropic Cylindrical Shells,' Journal of Sound and Vibration, Vol. 37, pp. 379-388

상세보기
Lee, S. Y. and Park, J. S., 1999, 'Nonlinear Finite Element Analysis of a Laminated Cylindrical Shell with Transverse Matrix Cracks,' KSME International Journal, Vol. 13, pp. 818-826

상세보기
Love, A. E. H., 1952, A Treatise on the Mathematical Theory of Elasticity, Cambridge University Press, Cambridge
MSC/NASRAN User's Manual, Version 2001, MSC Software Corporation, U.S.A.
Mazuch, T., Horacek, J., Trnka, J. and Vesely, J., 1996, 'Natural Modes and Frequencies of a Thin Clamped-Free Steel Cylindrical Storage Tank Partially Filled with Water: FEM and Measurement,' Journal of Sound and Vibration, Vol. 193, pp. 669-690

상세보기
Paidoussis, M. P. and Issid, N. T., 1974, 'Dynamic Stability of Pipes Conveying Fluid,' Journal of Sound and Vibration, Vol. 33, pp. 267-294

상세보기
Paidoussis, M. P. and Sundararajan, C., 1975, 'Parametric and Combination Resonances of a Pipe Conveying Pulsating Fluid,' Journal of Applied Mechanics, Vol. 42, pp. 780-784

상세보기
Petyt, M., 1990, Introduction to Finite Element Vibration Analysis, Cambridge University Press, Cambridge
Ryu, C. H. and Lee, Y. S., Choi, M. H. and Kim, Y. W., 2004, 'A Study on Stress Analysis of Orthotropic Composite Cylindrical Shells with a Circular or an Elliptical Cutout,' KSME International Journal, Vol. 18, pp. 808-813
Sanders, J. L., 1963, 'Nonlinear Theories for Thin Shells,' Quarterly of Applied Mathematics, Vol. 21, pp. 21-36

상세보기
Selmane, A. and Lakis, A. A., 1997, 'Vibration Analysis of Anisotropic Open Cylindrical Shells Subjected to a Flowing Fluid,' Journal of Fluids and Structures, Vol. 11, pp. 111-134

상세보기
Zhang, Y. L., Gorman, D. G. and Reese, J. M., 2001, 'A Finite Element Method for Modeling the Vibration of Initially Tensioned Thin-Walled Orthotropic Cylindrical Tubes Conveying Fluid,' Journal of Sound and Vibration, Vol. 245, pp. 93-112

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