Vibration of multi-degree-of-freedom systems with non-proportional viscous damping
According to the authors' knowledge, for multi-degree-of-freedom linear vibrating systems till this time only proportional damping was discussed. In this paper they consider non-proportional damping. First, a very detailed investigation of a two-degree-of-freedom system is presented (free, forced and transient vibrations as well, and diagrams for certain numerical cases) where all the three coefficient matrices are symmetric. For general \(n\)-degrees-of-freedom systems the authors propose a classification scheme in which the case with multiple roots, where not only simple exponential functions of time are the particular solutions (i.e. the case of non-diagonal Jordan matrix), seems to be not present.
scientific article; zbMATH DE number 762330