E-Book Overview
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.
E-Book Content
Solid Mechanics and Its Applications Nikolay Banichuk · Juha Jeronen Pekka Neittaanmäki Tytti Saksa Tero Tuovinen Mechanics of Moving Materials Solid Mechanics and Its Applications Volume 207 Series Editor G. M. L. Gladwell Department of Civil Engineering, University of Waterloo, Waterloo, Canada For further volumes: http://www.springer.com/series/6557 Aims and Scope of the Series The fundamental questions arising in mechanics are: Why?, How?, and How much? The aim of this series is to provide lucid accounts written by authoritative researchers giving vision and insight in answering these questions on the subject of mechanics as it relates to solids. The scope of the series covers the entire spectrum of solid mechanics. Thus it includes the foundation of mechanics; variational formulations; computational mechanics; statics, kinematics and dynamics of rigid and elastic bodies: vibrations of solids and structures; dynamical systems and chaos; the theories of elasticity, plasticity and viscoelasticity; composite materials; rods, beams, shells and membranes; structural control and stability; soils, rocks and geomechanics; fracture; tribology; experimental mechanics; biomechanics and machine design. The median level of presentation is the first year graduate student. Some texts are monographs defining the current state of the field; others are accessible to final year undergraduates; but essentially the emphasis is on readability and clarity. Nikolay Banichuk Juha Jeronen Pekka Neittaanmäki Tytti Saksa Tero Tuovinen • • Mechanics of Moving Materials 123 Nikolay Banichuk Institute for Problems in Mechanics University of Jyväskylä Moscow Russia ISSN 0925-0042 ISBN 978-3-319-01744-0 DOI 10.1007/978-3-319-01745-7 Juha Jeronen Pekka Neittaanmäki Tytti Saksa Tero Tuovinen Mathematical Information Technology University of Jyväskylä Jyväskylä Finland ISBN 978-3-319-01745-7 (eBook) Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2013946316 Ó Springer International Publishing Switzerland 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software,