Abstract：Based on absolute nodal coordinate formulation(ANCF), a new pipe finite element conveying fluid is presented. An extended version of Lagrange’s equations which are written for the system containing non-material volumes by Irschik, are used to obtain the equations of the pipe finite element conveying fluid. The pipe is modeled as Bernoulli Euler beam theory and the fully nonlinear Green stain tensor and second Piola Kirchhoff stress tensor are used. The influences of the lateral contraction resulted from axial elongation of the pipe on the fluid velocity are taken into account and the assumption that the cantilevered pipe is inextensible is not assumed. Consequently, the proposed equations are better than the existed equation in which order-of-magnitude consideration have been performed during derivation. The numerical results of the pipes with different boundary conditions are depicted and compared with the existed works. The proposed methods provided accurate results
2011, Vol. 30 
