Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7176061 | Journal of Fluids and Structures | 2014 | 7 Pages |
Abstract
In this paper, first, some pertinent studies are reviewed, undertaken to extend Hamilton׳s principle or Lagrange׳s equations to open systems, and continua including so-called non-material volumes; then, the corresponding mathematical formulations are reproduced and discussed using a uniform nomenclature. A typical flexible pipe conveying fluid system is considered next, and it is shown that the expression given by McIver for Hamilton׳s principle remains valid even in the presence of non-material volumes; the extra term due to the flux of kinetic energy through the control surface in the expression obtained by Casetta and Pesce vanishes.
Keywords
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Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
M. Kheiri, M.P. Païdoussis,