Frequency response analysis of cylindrical shells conveying fluid using finite element method

A finite element vibration analysis of thin-watled 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 cyhndrical 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 lesults and those by commercial tools

[1]  Jerry H. Ginsberg,et al.  The dynamic stability of a pipe conveying a pulsatile flow , 1973 .

[2]  Aouni A. Lakis,et al.  Vibration Analysis of Anisotropic Open Cylindrical Shells Subjected to a Flowing Fluid , 1997 .

[3]  M. Petyt,et al.  Introduction to Finite Element Vibration Analysis , 2016 .

[4]  R. Jain,et al.  Vibration of fluid-filled, orthotropic cylindrical shells , 1974 .

[5]  Qingda Yang,et al.  Free vibrations of fluid-filled orthotropic cylindrical shells , 1997 .

[7]  Jungsun Park,et al.  Nonlinear finite element analysis of a laminated cylindrical shell with transverse matrix cracks , 1999 .

[8]  M. Païdoussis,et al.  Dynamic stability of pipes conveying fluid , 1974 .

[9]  A. Love.  A treatise on the mathematical theory of elasticity , 1892 .

[10]  Maurice Petyt,et al.  Introduction to finite element vibration analysis , 1990 .

[11]  J. L. Sanders,et al.  NONLINEAR THEORIES FOR THIN SHELLS , 1963 .

[12]  Jaromír Horáček,et al.  Natural Modes and Frequencies of a Thin CLAMPED FREE Steel Cylindrical Storage Tank Partially Filled with Water: FEM and Measurement , 1996 .

[13]  Myung Jo Jhung,et al.  Round robin analysis for probabilistic structural integrity of reactor pressure vessel under pressurized thermal shock , 2005 .

[14]  Jason M. Reese,et al.  A finite element method for modelling the vibration of initially tensioned thin-walled orthotropic cylindrical tubes conveying fluid , 2001 .

[15]  M. P. Païdoussis,et al.  Parametric and Combination Resonances of a Pipe Conveying Pulsating Fluid , 1975 .