Journal
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
Volume 81, Issue 1, Pages -Publisher
ASME
DOI: 10.1115/1.4024409
Keywords
periodic structure; transfer matrix method; dynamic stability; pipe conveying fluid
Categories
Funding
- National Natural Science Foundation of China [10902123, 51075392, 51275519]
- Natural Sciences and Engineering Research Council of Canada
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In this paper, the stability of a periodic cantilevered pipe conveying fluid is studied theoretically by means of a novel transfer matrix method. This method is first validated by comparing the results to those available in the literature for a uniform pipe, showing that it is capable of high accuracy and displaying good convergence characteristics. Then, the stability of periodic pipes is investigated, with geometric, material-properties periodicity, and a combination of the two, showing that a considerable stabilizing effect may be achieved over different ranges of the mass parameter beta (beta = m(f)/(m(f) + m(p) ), where m(f) and m(p) are the fluid and pipe masses per unit length). The effect of other different system parameters is also probed.
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