The non-linear equations of motion of pipes conveying fluid are derived in simple and accessible terms, by energy and Newtonian methods. Different derivations are made for cantilevered pipes, where the centreline is assumed inextensible, and for pipes with both ends fixed; it is shown that the deriv
Non-linear dynamic model of a fluid-conveying pipe undergoing overall motions
β Scribed by Dan Meng; Hai-Yan Guo; Si-Peng Xu
- Book ID
- 108057120
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 786 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0307-904X
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π SIMILAR VOLUMES
A new non-linear model of a straight pipe conveying #uid is presented for vibration analysis when the pipe is "xed at both ends. Using the Euler}Bernoulli beam theory and the non-linear Lagrange strain theory, from the extended Hamilton's principle the coupled non-linear equations of motion for the
Active vibration suppression of a fluid conveying cantilever pipe with geometric non-linearity due to post-critical flow speed is examined. The non-linear characteristics of the system is described using the fictitious load approach and the dynamic responses can be obtained using successive co-ordin