On the Mechanics of Axially Moving Materials

Juha Jeronen

What is mathematical modeling? How do the different approaches -
analytical versus numerical - enhance our understanding of
physical phenomena? Why are continuum models still used in the
21st century?

Starting by touching upon these questions, this presentation
focuses on the dynamics and instability effects of axially moving
materials, as encountered in the context of papermaking. The
emphasis is on basic theoretical research concerning vibration
analysis in intervals where the paper web travels with no
mechanical support.

The problems are formulated using linearized Kirchhoff (classical)
plate theory. Two- and three-dimensional cases are considered.
Research results obtained during the last year and half are
presented, including analytical considerations and results from
numerical simulations. In the conclusion, some open problems are
summarized and possible directions for future research are
presented.

No background in continuum mechanics is assumed, so everyone is
welcome!