Relations between the right and left eigenvectors of non-symmetric structural models. Applications to rotors

Abstract The case of mechanical structures which must be represented by non-symmetric matrices is considered. The relations between the right and left eigenvectors is established for the general case and for the particular case of axisymmetric rotors with non-symmetric coupling. These relations simplify the problem of modal identification of mechanical structures when the non-symmetric part is known. They also prove to be useful in the analysis of the dynamic behavior of axisymmetric rotors by accounting for gyroscopic effects.