Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631024 | Applied Mathematics and Computation | 2011 | 11 Pages |
Abstract
In this paper, a relatively new semi-analytical method, called differential transformation method (DTM), is generalized to analyze the free vibration problem of pipes conveying fluid with several typical boundary conditions. The natural frequencies and critical flow velocities are obtained using DTM. The results are compared with those predicted by the differential quadrature method (DQM) and with other results reported in the literature. It is demonstrated that the DTM has high precision and computational efficiency in the vibration analysis of pipes conveying fluid.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Q. Ni, Z.L. Zhang, L. Wang,