Skip to main content
  • Book
  • © 2020

Stability of Axially Moving Materials

  • Systematic presentation of the fundamentals of axially moving materials
  • Analytical and semianalytical techniques for analysis of bifurcations and stability
  • For researchers, industry specialists, and students in the field of axially moving materials

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 259)

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (9 chapters)

  1. Front Matter

    Pages i-xi
  2. Prototype Problems: Bifurcations of Different Kinds

    • Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki
    Pages 1-32
  3. Bifurcation Analysis for Polynomial Equations

    • Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki
    Pages 33-68
  4. Nonconservative Systems with a Finite Number of Degrees of Freedom

    • Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki
    Pages 69-144
  5. Some General Methods

    • Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki
    Pages 145-177
  6. Modeling and Stability Analysis of Axially Moving Materials

    • Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki
    Pages 179-344
  7. Stability of Axially Moving Plates

    • Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki
    Pages 345-395
  8. Stability of Axially Moving Strings, Beams and Panels

    • Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki
    Pages 397-483
  9. Stability in Fluid—Structure Interaction of Axially Moving Materials

    • Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki
    Pages 485-561
  10. Optimization of Elastic Bodies Subjected to Thermal Loads

    • Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki
    Pages 563-587
  11. Back Matter

    Pages 589-642

About this book

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 ispresented 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.

Authors and Affiliations

  • Russian Academy of Sciences, Institute for Problems in Mechanics, Moscow, Russia

    Nikolay Banichuk

  • State University of Moldova, Chisinau, Moldova

    Alexander Barsuk

  • Faculty of Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki

Bibliographic Information

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access