Utilizing form-finding in mechanical engineering design using basic structural FEA

In this work, we propose an extension of classical form-finding that incorporates non-design space requirements directly into the process. This enables numerical weight optimization of thin-walled structural components. We present a concrete implementation which relies exclusively on standard structural finite element analysis, promoting integration into existing workflows. The method is validated on benchmark problems with known optimal solutions. Finally, its practical benefits are demonstrated through a more realistic engineering case study.