Aeroelastic Control of Long-Span Suspension Bridges

The modeling, control, and dynamic stabilization of long-span suspension bridges are considered. By employing leading- and trailing-edge flaps in combination, we show that the critical wind speeds for flutter and torsional divergence can be increased si g nificantly. The relatively less well known aerodynamic properties of leading-edge flaps will be studied in detail prior to their utilization in aeroelastic stability and control system design studies. The optimal approximation of the classical Theodorsen circulation function will be studied as part of the bridge section model building exercise. While a wide variety of control systems is possible, we focus on compensation schemes that can be implemented using passive mechanical components such as springs, dampers, gearboxes, and levers. A single-loop control system that controls the leading- and trailing-edge flaps by sensing the main deck pitch angle is investigated. The key finding is that the critical wind speeds for flutter and torsional divergence of the sectional model of the bridge can be greatly increased, with good robustness characteristics, through passive feedback control. Static winglets are shown to be relatively ineffective.

[1]  R. Scanlan,et al.  Resonance, Tacoma Narrows bridge failure, and undergraduate physics textbooks , 1991 .

[2]  T. Theodorsen General Theory of Aerodynamic Instability and the Mechanism of Flutter , 1934 .

[3]  Robert W. Newcomb,et al.  Linear multiport synthesis , 1966 .

[4]  Piotr Omenzetter,et al.  Suppression of wind-induced instabilities of a long span bridge by a passive deck-flaps control system , 2000 .

[5]  Robert H. Scanlan,et al.  A Modern Course in Aeroelasticity , 1981, Solid Mechanics and Its Applications.

[6]  Simos A. Evangelou,et al.  Mechanical Steering Compensators for High-Performance Motorcycles , 2007 .

[7]  Palle Thoft-Christensen,et al.  Active flap control of long suspension bridges , 2001 .

[8]  Krzysztof Wilde,et al.  Aerodynamic control of bridge deck flutter by active surfaces , 1998 .

[9]  W. R. Sears,et al.  Operational methods in the theory of airfoils in non-uniform motion , 1940 .

[10]  Krzysztof Wilde,et al.  Variable-gain control applied to aerodynamic control of bridge deck flutter , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[11]  Robert H. Scanlan,et al.  AIR FOIL AND BRIDGE DECK FLUTTER DERIVATIVES , 1971 .

[12]  David J. N. Limebeer,et al.  Linear Robust Control , 1994 .

[13]  Malcolm C. Smith Synthesis of mechanical networks: the inerter , 2002, IEEE Trans. Autom. Control..

[14]  Theodore Theodorsen,et al.  Nonstationary flow about a wing-aileron-tab combination including aerodynamic balance , 1942 .

[15]  D. Peters Two-dimensional incompressible unsteady airfoil theory—An overview , 2008 .

[16]  Toshio Miyata,et al.  Historical view of long-span bridge aerodynamics , 2003 .

[17]  Miguel A. Astiz,et al.  Flutter Stability of Very Long Suspension Bridges , 1998 .

[18]  H. Nyquist,et al.  The Regeneration Theory , 1954, Journal of Fluids Engineering.

[19]  Dewey H. Hodges,et al.  Introduction to Structural Dynamics and Aeroelasticity , 2002 .

[20]  Paul Haase Sørensen,et al.  Active aerodynamic stabilisation of long suspension bridges , 2004 .

[21]  Piotr Omenzetter,et al.  Study of Passive Deck-Flaps Flutter Control System on Full Bridge Model. I: Theory , 2002 .

[22]  Angel C. Aparicio,et al.  Improving Suspension Bridge Wind Stability with Aerodynamic Appendages , 1999 .