Design of beam cross sections with extreme structural properties using topology optimization

Abstract eng:
Optimal topologies and material distributions are presented which minimize the individual components of the beam cross section compliance matrix (e.g., transverse shear stiffness, shear-torsion coupling, among other). The entries of the compliance matrix are determined using a finite element based cross section analysis tool. A multimaterial topology optimization framework is employed which accommodates any number of isotropic and anisotropic materials. Results are presented for minimization of the individual entries of the cross section compliance matrix subjected to a volume constraint. Some non-intuitive cross section designs are obtained which help shed light on the role of different topological features and material combinations for design of beam structures with non-trivial static and dynamic behaviour. This approach will be used in the future for large scale structural topology optimization of wind turbine blades with nonlinear aeroelastic constraints.

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