Abstract
Aerodynamic damping in certain conditions appears to have a negative value, which increases the dynamic response of a tall building. Six single-degree-of-freedom (SDOF) aeroelastic models of tall buildings with typical cross sections (square, square with concave or bevel corners, and rectangular) are tested in a wind tunnel with a suburban terrain flow field condition. The along-wind and across-wind aerodynamic damping ratios of the tall buildings are identified by using the eigensystem realization algorithm (ERA) method in conjunction with the random decrement technique (RDT). The effects of wind speed, corner modifications (concave or bevel corner), side ratio, and wind direction on the aerodynamic damping are studied. The results indicate that in most cases the along-wind aerodynamic damping is positive and gradually increases with the increase of reduced wind speed (<svg style="vertical-align:-3.3907pt;width:18.737499px;" id="M1" height="15.4" version="1.1" viewBox="0 0 18.737499 15.4" width="18.737499" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,11.112)"><path id="x1D448" d="M751 650l-6 -28q-53 -1 -69 -12.5t-24 -38.5q-23 -85 -43 -192l-13 -69q-34 -181 -130 -262q-79 -65 -185 -65t-171 57q-87 77 -54 258l42 232q12 58 0.5 73t-75.5 19l8 28h263l-6 -28q-63 -5 -78 -18t-26 -74l-41 -226q-25 -135 22 -201t139 -66q99 0 161.5 68t91.5 217
l11 57q28 149 28 193q0 28 -19 38t-79 12l6 28h247z" /></g> <g transform="matrix(.012,-0,0,-.012,13.038,15.187)"><path id="x1D45F" d="M393 379q-9 -16 -28 -29q-15 -10 -23 -2q-19 19 -36 19q-21 0 -52 -38q-57 -72 -82 -126l-40 -197q-23 -3 -75 -18l-7 7q49 196 74 335q7 43 -2 43q-7 0 -30 -14.5t-47 -37.5l-16 23q37 42 82 73t67 31q41 0 15 -113l-11 -50h4q41 71 85 117t77 46q29 0 45 -26
q13 -21 0 -43z" /></g> </svg>). The across-wind aerodynamic damping is likewise a positive value at low <svg style="vertical-align:-3.3907pt;width:18.737499px;" id="M2" height="15.4" version="1.1" viewBox="0 0 18.737499 15.4" width="18.737499" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,11.112)"><use xlink:href="#x1D448"/></g> <g transform="matrix(.012,-0,0,-.012,13.038,15.187)"><use xlink:href="#x1D45F"/></g> </svg> in most cases, but suddenly becomes negative when <svg style="vertical-align:-3.3907pt;width:18.737499px;" id="M3" height="15.4" version="1.1" viewBox="0 0 18.737499 15.4" width="18.737499" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,11.112)"><use xlink:href="#x1D448"/></g> <g transform="matrix(.012,-0,0,-.012,13.038,15.187)"><use xlink:href="#x1D45F"/></g> </svg> becomes greater than 10.5 for the square cross-section building.
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