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Stability of Axially Moving Materials

✍ Scribed by Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki

Publisher
Springer International Publishing
Year
2020
Tongue
English
Leaves
648
Series
Solid Mechanics and Its Applications 259
Edition
1st ed. 2020
Category
Library
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✦ Synopsis

This book discusses the stability of axially moving materials, which are encountered in process industry applications such as papermaking. A special emphasis is given to analytical and semianalytical approaches. As preliminaries, we consider a variety of problems across mechanics involving bifurcations, allowing to introduce the techniques in a simplified setting.

In the main part of the book, the fundamentals of the theory of axially moving materials are presented in a systematic manner, including both elastic and viscoelastic material models, and the connection between the beam and panel models. The issues that arise in formulating boundary conditions specifically for axially moving materials are discussed. Some problems involving axially moving isotropic and orthotropic elastic plates are analyzed. Analytical free-vibration solutions for axially moving strings with and without damping are derived. A simple model for fluid--structure interaction of an axially moving panel is presented in detail.

This book is addressed to researchers, industrial specialists and students in the fields of theoretical and applied mechanics, and of applied and computational mathematics.

✦ Table of Contents

Front Matter ....Pages i-xi
Prototype Problems: Bifurcations of Different Kinds (Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki)....Pages 1-32
Bifurcation Analysis for Polynomial Equations (Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki)....Pages 33-68
Nonconservative Systems with a Finite Number of Degrees of Freedom (Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki)....Pages 69-144
Some General Methods (Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki)....Pages 145-177
Modeling and Stability Analysis of Axially Moving Materials (Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki)....Pages 179-344
Stability of Axially Moving Plates (Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki)....Pages 345-395
Stability of Axially Moving Strings, Beams and Panels (Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki)....Pages 397-483
Stability in Fluid—Structure Interaction of Axially Moving Materials (Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki)....Pages 485-561
Optimization of Elastic Bodies Subjected to Thermal Loads (Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki)....Pages 563-587
Back Matter ....Pages 589-642

✦ Subjects

Engineering; Theoretical and Applied Mechanics; Optimization; Computational Mathematics and Numerical Analysis

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