The Vibration Response of a Cantilevered Rectangular Cylinder in Cross-Flow Oscillation

Abstract

It is well known that a large-amplitude oscillation called galloping @1–3# is generated, in addition to Karman vortex excitation, for rectangular cylinders supported perpendicularly to a uniform flow when the slenderness b/d is in the range of 0.6 to 2.8 ~d5height, b5streamwise length of the rectangular cross-section!. The basic aerodynamic excitation mechanism of the cross-flow galloping of a rectangular cylinder is explained by the quasisteady nonlinear aerodynamic theory developed by Parkinson et al. @4#. In this theory, the relative attack angle plays an important role in the excitation mechanism of galloping. Also, as was shown by Deniz and Staubli @5#, the attack angle of a fixed rectangular cylinder strongly affects the vortex shedding frequency and lift. Although the mechanism of pure cross-flow oscillation for a circular and rectangular cylinder is becoming clear, as seen in the recent paper @6#, a slight difference in support conditions may affect strongly the oscillation behavior. The specific aim of this