Accepted Manuscript Not Copyedited Non-linear aerodynamic and aeroelastic analysis of bridges: a frequency domain approach Luigi Carassale a , Teng Wu b , Ahsan Kareem c a Assistant Professor of Engineering, Dept. of Civil Environmental and Architectural Engineering, Univ. of Genova, 16145 Genova, Italy. E-mail: luigi.carassale@unige.it b Ph.D. Candidate, NatHaz Modelling Laboratory, Univ. of Notre Dame, 156 Fitzpatrick Hall, Notre Dame, IN 46556, USA (corresponding author). E-mail: twu@nd.edu c Robert M. Moran Professor of Engineering, NatHaz Modelling Laboratory, Univ. of Notre Dame, 156 Fitzpatrick Hall, Notre Dame, IN 46556, USA. E-mail: kareem@nd.edu ABSTRACT: A frequency domain approach for non-linear bridge aerodynamics and aeroelasticity, based on the Volterra series expansion, is introduced in this paper. The Volterra frequency-response functions (VFRFs) and the associated linear equations are formulated utilizing a topological assemblage scheme and are identified utilizing an existing full-time-domain non-linear bridge aerodynamics and aeroelasticity analysis framework. A two-dimensional sectional model of a long- span bridge is used to illustrate this approach. The results show a good comparison between the time-domain simulation and the proposed frequency-domain model. The availability of VFRFs enables to gain a qualitative insight to the non-linear bridge aerodynamics and aeroelasticity. KEYWORDS: Non-linearity; Bridge; Aerodynamics; Aeroelasticity; Volterra series Journal of Engineering Mechanics. Submitted June 15, 2013; accepted October 18, 2013; posted ahead of print October 21, 2013. doi:10.1061/(ASCE)EM.1943-7889.0000737 Copyright 2013 by the American Society of Civil Engineers J. Eng. Mech. Downloaded from ascelibrary.org by UNIVERSITY OF NOTRE DAME on 11/04/13. Copyright ASCE. For personal use only; all rights reserved.