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The connections of a spatial truss structure play a critical role in the safeand efficient transfer of axial forces between members. For discreteconnections, they can also improve construction efficiency by acting asregistration devices that lock members in precise orientations. As moregeometrically complex spatial trusses are enabled by computational workflowsand the demand for material-efficient spanning systems, there is a need tounderstand the effects of global form on the demands at the connections. Forlarge-scale structures with irregular geometry, customizing individual nodes tomeet exact member orientations and force demands may be infeasible; conversely,standardizing all connections results in oversized nodes and a compromise inregistration potential. We propose a method for quantifying the complexity ofspatial truss designs by the variation in nodal force demands. By representingnodal forces as a geometric object, we leverage the spherical harmonic shapedescriptor, developed for applications in computational geometry, tocharacterize each node by a rotation and translation-invariant fixed-lengthvector. We define a complexity score for spatial truss design by the variancein the positions of the feature vectors in higher-dimensional space, providingan additional performance metric during early stage design exploration. We thendevelop a pathway towards reducing complexity by clustering nodes with respectto their feature vectors to reduce the number of unique connectors for designwhile minimizing the effects of mass standardization.

Spherical harmonic shape descriptors of nodal force demands for quantifying spatial truss connection complexity