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cs.CE2024★ 20 cited
A low order, torsion deformable spatial beam element based on the absolute nodal coordinate formulation and Bishop frame
Mehran Ebrahimi, Adrian Butscher, Hyunmin Cheong
Heretofore, the Serret-Frenet frame has been the ubiquitous choice for analyzing the elastic deformations of beam elements. It is well known that this frame is undefined at the inf…
cs.CE2024★ 10 cited
Optimal design of frame structures with mixed categorical and continuous design variables using the Gumbel-Softmax method
Mehran Ebrahimi, Hyunmin Cheong, Pradeep Kumar Jayaraman +1
In optimizing real-world structures, due to fabrication or budgetary restraints, the design variables may be restricted to a set of standard engineering choices. Such variables, co…