Vibrations of a continuous web on elastic supports
Abstract
We consider an infinite, homogenous linearly elastic beam resting on a system of linearly elastic supports, as an idealized model for a paper web in the middle of a cylinder-based dryer section. We obtain closed-form analytical expressions for the eigenfrequencies and the eigenmodes. The frequencies increase as the support rigidity is increased. Each frequency is bounded from above by the solution with absolutely rigid supports, and from below by the solution in the limit of vanishing support rigidity. Thus in a real system, the natural frequencies will be lower than predicted by commonly used models with rigid supports.
Main Authors
Format
Articles
Research article
Published
2018
Series
Subjects
Publication in research information system
Publisher
Taylor & Francis
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201801231310Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
1539-7734
DOI
https://doi.org/10.1080/15397734.2016.1261034
Language
English
Published in
Mechanics Based Design of Structures and Machines
Citation
- Banichuk, N., Barsuk, A., Ivanova, S., Jeronen, J., Makeev, E., & Tuovinen, T. (2018). Vibrations of a continuous web on elastic supports. Mechanics Based Design of Structures and Machines, 46(1), 1-17. https://doi.org/10.1080/15397734.2016.1261034
License
Copyright© Taylor & Francis, 2017. This is a final draft version of an article whose final and definitive form has been published by Taylor & Francis. Published in this repository with the kind permission of the publisher.