Page 495 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)

FIRST-PRINCIPLES DERIVATION OF THE EQUATION OF MOTION 465
term in (A.3); this missing term leads to one equal to M(dU/dt)(aw/ax) in the equation
of motion. (ii) The third term in the equivalent to (A.4) in Ginsberg’s derivation is also
missing, which, after substitution of (AS) in it, leads to a term -M(dU/dt)(&v/ax) in the
equation of motion. These two missing terms cancel each other out and hence, fortuitously
but fundamentally erroneously, the correct equation of motion was obtained!