This survey article addresses the class of continuous-time systems where a system modeled
by ordinary differential equations is coupled with a static or time-varying set-valued operator …

A closed detached response due to the resonance response interaction has a critical effect
on vibration isolation and energy harvesting. In this paper, a promising novel approach by …

The drilling industry has substantially improved performance based on knowledge from
physics-based, statistical, and empirical models of components and systems. However, most …

This paper involves the dynamic (stability) analysis of distributed drill-string systems. A
minimal set of parameters characterizing the linearized, axial-torsional dynamics of a …

Stick-slip torsional vibration raising from bit-formation contact is a catastrophic dynamic
phenomenon occurring in deep-water oil and gas drilling systems. The torsional vibrations …

A distributed model of a drill string with a collars section is presented with Coulomb friction
as a distributed source term. This model is capable of replicating stick slip oscillations as …

Self-excited vibrations in drill-string systems are one of the main causes of failure and
efficiency reduction in drilling operations. To suppress these vibrations, an active control …

The generalized lumped-parameter model of the drill-string system is studied in this paper to
provide a fundamental understanding of the torsional stick-slip vibrations in downhole …

The undesired stick-slip vibrations of the drill-string can lead to drilling failures or even
serious drilling accidents. Most of previous researches devoted to controller design to …

This paper studies the problems of stick-slip mitigation and speed tuning for a lumped-
parameter drill-string system by using a proportional-derivative feedback controller via path …