This book deals with theoretical aspects of modelling the
mechanical behaviour of manufacturing, processing, transportation
or other systems in which the processed or supporting material is
travelling through the system. Examples of such applications
include paper making, transmission cables, band saws, printing
presses, manufacturing of plastic films and sheets, and extrusion
of aluminium foil, textiles and other materials.
The work focuses on out-of-plane dynamics and stability analysis
for isotropic and orthotropic travelling elastic and viscoelastic
materials, with and without fluid-structure interaction, using
analytical and semi-analytical approaches. Also topics such as
fracturing and fatigue are discussed in the context of moving
materials. The last part of the book deals with optimization
problems involving physical constraints arising from the stability
and fatigue analyses, including uncertainties in the
parameters.
The book is intended for researchers and specialists in the
field, providing a view of the mechanics of axially moving
materials. It can also be used as a textbook for advanced courses
on this specific topic. Considering topics related to manufacturing
and processing, the book can also be applied in industrial
mathematics.
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