Revisiting Convolution Scheme in Bridge Aerodynamics: Comparison of Step and Impulse Response Functions
Publication: Journal of Engineering Mechanics
Volume 140, Issue 5
Abstract
Two elementary response features of bridge aerodynamics, namely unit-step (indicial) and unit-impulse response functions, as the fundamental building blocks for the convolution integral, are reviewed systematically. The comparison of these elementary response functions was carried out from theoretical, experimental, and numerical perspectives. Theoretically, their new interpretation is given in the context of bridge aerodynamics. Experimentally, the underlying mechanism concerning these elementary response functions as applied to bridge aerodynamics was investigated, e.g., the overshooting feature and the applications to the simulation of gust- and motion-induced forces. Numerically, a comparison of the indicial and rational function approximations, often utilized in the indirect identification of the effective unit-step and unit-impulse response functions, respectively, is highlighted by underscoring the underlying physics in the associated mathematical derivation. A numerical example of a long-span bridge is presented to demonstrate the fidelity of simulation based on these numerical approximations.
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Acknowledgments
The support for this project provided by the National Science Foundation (NSF) Grant No. CMMI 09-28282 is gratefully acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 140 • Issue 5 • May 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Feb 20, 2013
Accepted: Sep 11, 2013
Published online: Sep 13, 2013
Published in print: May 1, 2014
Discussion open until: Jun 7, 2014
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