Topology optimization of binary structures under design-dependent fluid-structure interaction loads
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RESEARCH PAPER
Topology optimization of binary structures under design-dependent fluid-structure interaction loads R. Picelli1 · S. Ranjbarzadeh2 · R. Sivapuram3 · R. S. Gioria1 · E. C. N. Silva2 Received: 31 October 2019 / Revised: 30 January 2020 / Accepted: 2 April 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract A current challenge for the structural topology optimization methods is the development of trustful techniques to account for different physics interactions. This paper devises a technique that considers separate physics analysis and optimization within the context of fluid-structure interaction (FSI) systems. Steady-state laminar flow and small structural displacements are assumed. We solve the compliance minimization problem subject to single or multiple volume constraints considering design-dependent FSI loads. For that, the TOBS (topology optimization of binary structures) method is applied. The TOBS approach uses binary {0, 1} design variables, which can be advantageous when dealing with design-dependent physics interactions, e.g., in cases where fluid-structure boundaries are allowed to change during optimization. The COMSOL Multiphysics software is used to solve the fluid-structure equations and output the sensitivities using automatic differentiation. The TOBS optimizer provides a new set of {0, 1} variables at every iteration. Numerical examples show smoothly converged solutions. Keywords Topology optimization · Fluid-structure interaction · Laminar flow · Small displacements · Binary variables · Design-dependent loads · COMSOL multiphysics
1 Introduction Fluid-structure interaction (FSI) is an ubiquitous phenomenon in our daily lives (Bungartz and Sch˙afer 2006). For the engineering problems, sometimes, the intensity of the interaction between a fluid and a structure can be considered minimal and negligible. In other cases, its effects are extremely relevant, such as in aircraft flutter behavior and
Responsible Editor: Gengdong Cheng Electronic supplementary material The online version of this article (https://doi.org/10.1007/s00158-020-02598-0) contains supplementary material, which is available to authorized users. R. Picelli
[email protected] 1
Department of Mining and Petroleum Engineering, University of S˜ao Paulo, Prac¸a Narciso de Andrade s/n, Vila Mathias, Santos - SP, 11013-560, Brazil
2
Department of Mechatronics and Mechanical Systems Engineering, University of S˜ao Paulo, Av. Professor Mello Moraes 2231, Butant˜a, S˜ao Paulo - SP, 05508-030, Brazil
3
Structural Engineering Department, University of California, San Diego, 9500 Gilman Drive, San Diego, CA 92093, USA
wind loads on bridges. In these cases, if the structural design does not include the effects of the surrounding fluid, the consequences might be disastrous (Billah and Scanlan 1991). These problems require from the engineers a wide range of multidisciplinary knowledge to achieve a safe design and to devise advanced computational methods which are of great benefit in such cases (Townsend
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