The shape filtering method developed at the Chair of Structural Analysis is extended to sizing design variables. This allows the optimization of thin-walled structures with a variable thickness distribution. Furthermore, combining shape and thickness variables in one monolithic optimization framework, such that the interaction between the shape and thickness design variables is captured, enables the design of complex lightweight structures. 

In simultaneous optimization, shape and thickness variables differ markedly in their physical scales and impact. Without appropriate scaling, this disparity leads to inefficient optimization trajectories. Therefore, scaling strategies for design variables are investigated to enhance the convergence of gradient-based optimization methods. 

Future research on concrete shell structures will focus on reducing tensile stresses, advancing constitutive models for reinforced concrete, and incorporating both reinforcement and prestressing effects into structural analysis.

Publications

• Schmölz, David; Devresse, Bastian; Geiser, Armin; Bletzinger, Kai-Uwe: Simultaneous node-based shape and thickness optimization of thin-walled structures using the explicit Vertex Morphing method. Structural and Multidisciplinary Optimization 68 (2), 2025, DOI