Aeroelastic flutter can lead to large amplitude oscillations of tensioned wide webs and narrow ribbons commonly used in the paper-handling, textile, sheet-metal, and plastics industries. In this article, we examine the aeroelastic stability of a web or a ribbon, which is submerged in an incompressible and inviscid fluid flow across its free edges. The web or ribbon is modeled as a uniaxially tensioned Kirchhoff plate with vanishingly small bending stiffness. A Galerkin discretization for the structural dynamics together with panel methods for the unsteady three dimensional potential flow are used to cast the coupled system into the form of a gyroscopic, nonconservative dynamical system. It is found that wide webs mainly destabilize through a divergence instability due to the cross-flow-induced conservative centrifugal effects. However, for certain values of applied tension, the wake-induced nonconservative effects can destabilize the web via a weak flutter instability. Contrarily, narrow ribbons in cross flow are nearly equally likely to undergo flutter or divergence instability depending on the value of applied tension.
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e-mail: raman@ecn.purdue.edu
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July 2008
Research Papers
Aeroelastic Stability of Wide Webs and Narrow Ribbons in Cross Flow
Rahul A. Bidkar,
Rahul A. Bidkar
Graduate Student
Dynamic Systems and Stability Laboratory, School of Mechanical Engineering,
Purdue University
, 585 Purdue Mall, West Lafayette, IN 47907
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Arvind Raman,
Arvind Raman
Associate Professor
Dynamic Systems and Stability Laboratory, School of Mechanical Engineering,
e-mail: raman@ecn.purdue.edu
Purdue University
, 585 Purdue Mall, West Lafayette, IN 47907
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Anil K. Bajaj
Anil K. Bajaj
Professor
Dynamic Systems and Stability Laboratory, School of Mechanical Engineering,
Purdue University
, 585 Purdue Mall, West Lafayette, IN 47907
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Rahul A. Bidkar
Graduate Student
Dynamic Systems and Stability Laboratory, School of Mechanical Engineering,
Purdue University
, 585 Purdue Mall, West Lafayette, IN 47907
Arvind Raman
Associate Professor
Dynamic Systems and Stability Laboratory, School of Mechanical Engineering,
Purdue University
, 585 Purdue Mall, West Lafayette, IN 47907e-mail: raman@ecn.purdue.edu
Anil K. Bajaj
Professor
Dynamic Systems and Stability Laboratory, School of Mechanical Engineering,
Purdue University
, 585 Purdue Mall, West Lafayette, IN 47907J. Appl. Mech. Jul 2008, 75(4): 041023 (9 pages)
Published Online: May 19, 2008
Article history
Received:
June 26, 2007
Revised:
October 30, 2007
Published:
May 19, 2008
Citation
Bidkar, R. A., Raman, A., and Bajaj, A. K. (May 19, 2008). "Aeroelastic Stability of Wide Webs and Narrow Ribbons in Cross Flow." ASME. J. Appl. Mech. July 2008; 75(4): 041023. https://doi.org/10.1115/1.2871192
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