C1 Book
Stability of Axially Moving Materials (2020)

Banichuk, Nikolay; Barsuk, Alexander; Jeronen, Juha; Tuovinen, Tero; Neittaanmäki, Pekka (2020). Stability of Axially Moving Materials. Solid Mechanics and Its Applications, 259. Cham: Springer. DOI: 10.1007/978-3-030-23803-2

JYU authors or editors

Publication details

All authors or editors: Banichuk, Nikolay; Barsuk, Alexander; Jeronen, Juha; Tuovinen, Tero; Neittaanmäki, Pekka

ISBN: 978-3-030-23802-5

eISBN: 978-3-030-23803-2

Journal or series: Solid Mechanics and Its Applications

ISSN: 0925-0042

eISSN: 2214-7764

Publication year: 2020

Number in series: 259

Number of pages in the book: 642

Publisher: Springer

Place of Publication: Cham

Publication country: Switzerland

Publication language: English

DOI: https://doi.org/10.1007/978-3-030-23803-2

Open Access: Publication channel is not openly available


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.

Keywords: mechanics; stability (physics); mathematical models; optimisation; bifurcation

Free keywords: bifurcations; optimization of mechanical systems; moving materials; mechanical behaviour of manufacturing; bifurcation in materials; bifurcation in engineering; instability parameters; imperfections in stability theory; optimization problems in mechanics

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2020

Preliminary JUFO rating: 1

Last updated on 2020-09-07 at 23:11