Mathematical Modelling of Cable and Pulley Systems.

Abstract

The content of this text meets the challenge of two-dimensional FE-based mathematical modelling of cable and pulleys. The text is mainly a preparatory study for an upcoming PhD candidate, where the bulk of focus is isolated on identifying proper finite element theory for describing systems that consists of cable an pulleys. The work revolves around the inherent dynamics and friction effects between cable and pulleys, causing out of phase tension oscillations in an offshore crane. During the research, the most proper mathematical formulation of modelling cable-pulley interaction has been identified. Thus, provides a theoretical foundation for the upcoming research at SFI regarding cable-pulley systems. Principals of the proposed model are discussed and explained in detail, with the intent for the following researcher to easily adapt the work performed here.