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Y. Vetyukov, V. Eliseev, M. Krommer:
"Modeling the Dynamics of a Flexible Belt Drive Using the Equations of a Deformable String with Discontinuities";
in: "IFAC-PapersOnLine - 8th Vienna International Conferenceon Mathematical Modelling - MATHMOD 2015", 48(1); herausgegeben von: IFAC; Elsevier, 2015, 6 S.

The transient analysis of a belt drive is based on a nonlinear dynamic model of an extensible string at contour motion, in which the trajectories of particles of the belt are predetermined. The equations of string dynamics at the free spans are considered in a fixed domain by transforming into a spatial frame. Assuming the absence of slip of the belt on the surface of the pulleys, we arrive at a new model with a discontinuous velocity field and concentrated contact forces. Finite difference discretization allows numerical analysis of the resulting system of partial differential equations with delays. Example solution for the case of start up and accelerated motion of a friction belt drive is presented and discussed.

Axially moving structures; Eulerian description; Partial differential equations; Delay differential equations; Finite differences

http://dx.doi.org/10.1016/j.ifacol.2015.05.097

https://publik.tuwien.ac.at/files/publik_250186.pdf