Using passive nonlinear targeted energy transfer to stabilize drill-string systems

Quenching chatter instability in turning process with a vibro-impact nonlinear energy sink

“…(30) into the second periodicity condition in Eqs. (31) and (32), the following relations are obtained:…”

Damping Effects Introduced by a Nonlinear Vibration Absorber in Automotive Drivelines at Idle Engine Speeds

“…Vakakis [16] investigated TET pumping from an impulsively loaded linear system to a NES by assuming the linear system to be a chain of elastically interconnected particles. The underlying theory, principles and modalities of energy pumping through NES were discussed in [17][18][19][20][21]. The external disturbances are eliminated through NES passively, since the latter can generate a large number of nonlinear resonant conditions, through which substantial energy transfer takes place between the two oscillators.…”

“…Viguie et al [20] implemented a discrete torsional NES to stabilise a drill-string system. Nevertheless, TET has not yet found any noticeable applications in automotive industry.…”

Suppression of Instabilities in Drilling Operations through Targeted Energy Transfer

“…It aims in approximating a differential inclusion by sets of ordinary differential equations. This concept is explained in great detail in Leine and Nijmeijer (2004), and its application to the drill-string system is described in Viguié et al (2008). The numerical integration process provides the possible steady state solutions of the dynamics, such as equilibrium points, and periodic or quasi-periodic orbits.…”

“…Finally, a detailed analysis of the integrated system composed of the drill string system and the attached NES will be presented, including some remarks on the robustness of the passive control of instabilities achieved with this device. The results presented in this chapter follow closely the work by Viguié et al (2008). (Mihajlovic, 2005).…”