Physical mechanism of the destabilizing effect of damping in continuous non-conservative dissipative systems

Rotor–stator contact dynamics using a non-ideal drive—Theoretical and experimental aspects

“…Upon introducing the absolute angular velocity equation (26) and the absolute linear velocity equation (2) into Eq. (3), and disregarding higher order terms of the eccentricity such as Oðe n Þ n ¼ 2; 3 and the linear motion in the x-direction, the kinetic energy of the disk is expressed in Appendix A.…”

“…The order of magnitude of this external damping is determined by experiments and derived later. It is important to highlight, that internal material damping and the effect of this internal damping such as given in the work of Ziegler [24], Gasch [25], Segiyama et al [26] and Mukherjee et al [27], in a continuous flexible shaft is not considered in this modelling and analyses, once the shaft is treated as massless component of the non-conservative dissipative system. Thus…”

Sommerfeld effect characterization in rotors with non-ideal drive from ideal drive response and power balance

“…At the stability threshold, first mode vibrations grows, whereas, all other modes remain stable. This stability threshold, in fact, results from the balance of work done due to external and internal damping forces, as shown in [15,16].…”

The regions of flutter and divergence instability of a column subjected to Beck's generalized load, taking into account the torsional flexibility of the loaded end of the column

“…Internal damping destabilizes the column (lowers the critical flutter load). The influence of two types of damping (external and internal) on the critical flutter load was analysed in the works of Sugiyama and Langthjem (2007) and Langthjem and Sugiyama (2000).…”