Finite Element Analysis of Fluid-Conveying Timoshenko Pipes
Author(s) -
ChihLiang Chu,
YihHwang Lin
Publication year - 1995
Publication title -
shock and vibration
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 45
eISSN - 1875-9203
pISSN - 1070-9622
DOI - 10.1155/1995/645097
Subject(s) - finite element method , inertia , virtual work , mixed finite element method , shearing (physics) , smoothed finite element method , rotary inertia , extended finite element method , finite element limit analysis , degrees of freedom (physics and chemistry) , mechanics , mathematics , classical mechanics , structural engineering , engineering , physics , boundary knot method , geotechnical engineering , quantum mechanics , boundary element method
A general finite element formulation using cubic Hermitian interpolation for dynamic analysis of pipes conveying fluid is presented. Both the effects of shearing deformations and rotary inertia are considered. The development retains the use of the classical four degrees-of-freedom for a two-node element. The effect of moving fluid is treated as external distributed forces on the support pipe and the fluid finite element matrices are derived from the virtual work done due to the fluid inertia forces. Finite element matrices for both the support pipe and moving fluid are derived and given explicitly. A numerical example is given to demonstrate the validity of the model.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom