期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 217, 期 16, 页码 7028-7038出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.01.116
关键词
DTM; Pipe conveying fluid; Natural frequency; Critical flow velocity; DQM
资金
- National Natural Science Foundation of China [10772071, 10802031]
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. (C) 2011 Elsevier Inc. All rights reserved.
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