Abstract
We analyze the stability of an axially moving Kirchhoff plate, subjected to an axial potential flow perpendicular to the direction of motion. The dimensionality of the problem is reduced by considering a cross-directional cross-section of the plate, approximating the axial response with the solution of the corresponding problem of a moving plate in vacuum. The flow component is handled via a Green’s function solution. The stability of the cross-section is investigated via the classical Euler type static linear stability analysis method. The resulting eigenvalue problem is solved numerically using Hermite type finite elements. As a result, the critical velocity and the corresponding eigenfunction are determined. It is seen that even at very low free-stream fluid velocities, the buckling shape may become antisymmetric in the cross direction.
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Acknowledgments
This research was supported by the Finnish Cultural Foundation. The authors wish to congratulate professor Banichuk on the occasion of his 70th birthday, and to extend their thanks to him for many interesting and fruitful technical discussions over the years, hoping for many more in the years to come.
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Jeronen, J., Saksa, T., Tuovinen, T. (2016). Stability of a Tensioned Axially Moving Plate Subjected to Cross-Direction Potential Flow. In: Neittaanmäki, P., Repin, S., Tuovinen, T. (eds) Mathematical Modeling and Optimization of Complex Structures. Computational Methods in Applied Sciences, vol 40. Springer, Cham. https://doi.org/10.1007/978-3-319-23564-6_7
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DOI: https://doi.org/10.1007/978-3-319-23564-6_7
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