Page 535 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)
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NEWTONIAN DERIVATION OF THE NONLINEAR EQUATIONS 505
After some further manipulations, the governing equations obtained are found to be the
same as those derived by the energy method, equations (5.36a,b).
Finally, it can be shown easily that equations (G.l3a,b) are equivalent to
equations (G.6a,b) simply by letting E = 0 and replacing xo by s. In other words, the
equations of the cantilevered pipe can be obtained from those of a pipe fixed at both ends
by imposing the inextensibility condition.
