Journal
APPLIED MATHEMATICAL MODELLING
Volume 43, Issue -, Pages 409-420Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2016.11.029
Keywords
VIM; Pipe conveying fluid; Natural frequency; Modes shape; DTM
Funding
- Technological Office of Sichuan [2015GZ0037]
- Sichuan Province Science and Technology Innovation Team [2013TD0004]
- Fund Project of Sichuan University of Science Engineering [2015KY02]
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In this paper, a recently new semi-analytical method, i.e., He's variational iteration method is developed to apply to free vibration analysis of conveying fluid pipe. The critical flow velocity and frequency of pipe conveying fluid are obtained with considering the various boundary conditions. The results are compared with the ones of different transform method, and prove VIM that has the same precision and efficient with DTM. The mode shapes of cantilevered pipe and both ends with elastic support pipe are shown under different flow velocity. (C) 2016 Elsevier Inc. All rights reserved.
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