Fluid Flow Impact on Dynamic Stability of the Straight Rod Under Compression and Torsion Conditions

A numerical procedure is presented to calculate eigen values of nonconservative problem of slight vibrations of the straight hollow rod (pipe), filled with the ideal incompressible fluid flow, with allowance for its torsion. An algorithm is proposed for numerical determination of complex eigen values and eigen vectors, depending on the fluid velocity and torque. Critical fluid velocities are determined at which the dynamic stability is lost.