Single and multi-objective shape optimization of streamlined bridge decks

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RESEARCH PAPER

Single and multi-objective shape optimization of streamlined bridge decks Zouhour Jaouadi1

· Tajammal Abbas2 · Guido Morgenthal2 · Tom Lahmer3

Received: 13 August 2018 / Revised: 25 September 2019 / Accepted: 14 October 2019 © Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract Civil engineers focus on developing an optimum design that is cost-effective without compromising the performance. Experiences from optimizing airplane wings in aerospace engineering have been extensively made for the last decades where the aim is to maximize the lift-to-drag ratios. In civil engineering, shape optimization of tall buildings and bridge cross-sections is still an open research field where the aim is to enhance the aerodynamic behavior of these structures. The main challenge, however, is to develop bridge decks that avoid excessive deformations and ensure a sufficient structural reliability. Within this framework, the paper outlines the single and multi-objective shape optimization for static aerodynamic forces of a streamlined box section. Computational fluid dynamic simulation based on vortex particle method provides the quantities of interest which are approximately treated by a Kriging surrogate for the optimization. Later, the performance of the optimized structure is checked against flutter instability. Keywords Shape optimization · Static wind coefficients · Streamlined box section · Single and multi-objective optimization · Kriging · Bridge design

1 Introduction For long-span bridges, the deck may be exposed to wind from both sides. Thus, a box design, symmetrical about the vertical center plane and featuring rounded edges, is preferable. The main challenge for designers is to save material

Responsible Editor: Mehmet Polat Saka  Zouhour Jaouadi

[email protected] Tajammal Abbas [email protected] Guido Morgenthal [email protected] Tom Lahmer [email protected] 1

Research Training Group 1462, Bauhaus-Universit¨at Weimar, 99423 Weimar, Germany

2

Chair of Modelling and Simulation of Structures, Bauhaus-Universit¨at Weimar, 99423 Weimar, Germany

3

Institute of Structural Mechanics, Bauhaus-Universit¨at Weimar, 99423 Weimar, Germany

while simultaneously ensuring the efficiency and the reliability of the structure, so that buffeting and vortex shedding responses are kept within acceptable limits. Main effects like reducing the vortex shedding excitation, achieving the functionality of the structure against buffeting, and reducing the aeroelastic instability are considered during the design process. As compared to other cross-sections, the streamlined box girder is the most common in long-span bridges since it can minimize the wind forces (Larsen 2008; Wang et al. 2011). The construction of the Severn Bridge UK in 1966 marked a revolutionary progress in bridge design. In general, the key structural parameters that affect the aerodynamic performance of bridges are mass, stiffness properties, and the structural damping. Structural configuration