Paradoxes in dynamic stability of mechanical systems: investigating the causes and detecting the nonlinear behaviors

@inproceedings{Luongo2016ParadoxesID,
  title={Paradoxes in dynamic stability of mechanical systems: investigating the causes and detecting the nonlinear behaviors},
  author={Angelo Luongo and M. Ferretti and Francesco D’Annibale},
  booktitle={SpringerPlus},
  year={2016}
}
AbstractA critical review of three paradoxical phenomena, occurring in the dynamic stability of finite-dimensional autonomous mechanical systems, is carried out. In particular, the well-known destabilization paradoxes of Ziegler, due to damping, and Nicolai, due to follower torque, and the less well known failure of the so-called ‘principle of similarity’, as a control strategy in piezo-electro-mechanical systems, are discussed. Some examples concerning the uncontrolled and controlled Ziegler… CONTINUE READING