Page 555 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)
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ANALYSIS FOR THE DERIVATION OF THE EQUATIONS OF MOTION        525



























































              Figure J.l  Forces  and moments  acting  on a pipe element  expressed  (a) in  the reference  frame
                                (x, y, z) and (b) in the reference frame  (no, yo, 20).

              where
                                                                                   (5.12)

                Now,  in  conjunction  with  the  derivation  of  (J.9),  we  have  obtained  (a) aexo/as =
              -.bezo  + toe,  and similar expressions for ae,/as   and ae,,/as;  but, writing exo = lTli +
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