A1 Journal article (refereed)
Added-Mass Based Efficient Fluid–Structure Interaction Model for Dynamics of Axially Moving Panels with Thermal Expansion (2020)

Banichuk, N., Ivanova, S., Makeev, E., Jeronen, J., & Tuovinen, T. (2020). Added-Mass Based Efficient Fluid–Structure Interaction Model for Dynamics of Axially Moving Panels with Thermal Expansion. Mathematical and Computational Applications, 25(1), Article 9. https://doi.org/10.3390/mca25010009

JYU authors or editors

Publication details

All authors or editorsBanichuk, Nikolay; Ivanova, Svetlana; Makeev, Evgeny; Jeronen, Juha; Tuovinen, Tero

Journal or seriesMathematical and Computational Applications



Publication year2020


Issue number1

Article number9


Publication countrySwitzerland

Publication languageEnglish


Publication open accessOpenly available

Publication channel open accessOpen Access channel

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/67569


The paper considers the analysis of a traveling panel, submerged in axially flowing fluid. In order to accurately model the dynamics and stability of a lightweight moving material, the interaction between the material and the surrounding air must be taken into account. The lightweight material leads to the inertial contribution of the surrounding air to the acceleration of the panel becoming significant. This formulation is novel and the case complements our previous studies on the field. The approach described in this paper allows for an efficient semi-analytical solution, where the reaction pressure of the fluid flow is analytically represented by an added-mass model in terms of the panel displacement. Then, the panel displacement, accounting also for the fluid–structure interaction, is analyzed with the help of the weak form of the governing partial differential equation, using a Galerkin method. In the first part of this paper, we represent the traveling panel by a single partial differential equation in weak form, using an added-mass approximation of the exact fluid reaction. In the second part, we apply a Galerkin method for dynamic stability analysis of the panel, and present an analytical investigation of static stability loss (divergence, buckling) based on the added-mass model.

Keywordsmathematical modelspapermakingmanufacturing engineeringdynamicselasticity (physical properties)stability (physics)

Free keywordsmathematical modeling; axially moving panel; fluid–elastic interaction; aerothermoelastic stability; divergence; added-mass approximation

Contributing organizations

Ministry reportingYes

Reporting Year2020

JUFO rating1

Last updated on 2024-22-04 at 12:03