“…Once the tube starts to move, additional fluid forces, called motiondependent fluid forces, will be induced due to tube motion. The motion-dependent fluid-force components per unit length that act on the tube in the x and y directions are f and g, respectively, and are given (Chen 1987a and1987b) as where p is fluid density, R is tube radius, t is time, and o is circular frequency of tube oscillations. a, p, a, and z are added mass coefficients, a', p', a', and 'c* are fluid-damping coefficients, and a", pl', a", and 2'' are fluid-stiffness coefficients.…”