| Time: | July 18, 2024, 3:00 p.m. – 4:00 p.m. |
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| Event language: | English |
| Venue: | Raum 1.155 (Multimedia-Hörsaal) Pfaffenwaldring 7 |
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Abstract
The effect of stiffness and strength reduction due to corrosion is rarely included in truss structure layout, topology, or sizing optimization. An example of a corrosion correction for steel truss roof structure sizing can be found in [1]. A simple correction for cross-sectional stiffness reduction is proposed here to illustrate the significance of the effect for a series of 2D structures. The correction is based on a simple corrosion model and considers the exposure angle and face orientation of surfaces [2]. The formulation is presented either for fixed width or fixed aspect ratio rectangular cross-sections, where the affine or nearly affine dependency of the weight objective and the compliance constraint on the design parameters is possible. The compliance constraint for the quasi-static problem is treated as a linear matrix inequality [3]. The Matlab implementation uses the package for disciplined convex programming CVX [4] to treat the linear matrix inequality.
References
[1] Aydoğdu, A. Y., Artar, M., & Ergün, M. Optimum weight design of steel truss roof systems considering corrosion effect. Structures 2023:49; 88-105.
[2] Javier E Rodrı́guez-Yáñez, Sebastián Feliu Batlle, Jean Sanabria-Chinchilla, and José Félix Rojas-Marı́n. Combined effect of the exposure angle and face orientation on the atmospheric corrosion behavior of low carbon steel. Electrochimica Acta, 439: 141567, 2023.
[3] Kanno, Yoshihiro. Nonsmooth mechanics and convex optimization. Crc Press, 2011.
[4] Michael Grant and Stephen Boyd. CVX: Matlab software for disciplined convex programming, version 2.0 beta. http://cvxr.com/cvx , September 2013.
About the speaker
Anton Tkachuk is a former member of the Institute of Structural Mechanics, where he completed both his doctorate and his habilitation. He is now Associate Professor in Mechanical Engineering at Karlstad University, Sweden.
