This contribution presents an isogeometric collocation (IGA-C) [1] formulation for the analysis of geometrically exact, shear-deformable, viscoelastic beams and beam structures [2]. The linear viscoelastic material response is modeled deploying the Generalized Maxwell Model directly to the one-dimensional beam strain and stress measures. This allows to express the internal variables in terms of the same kinematic unknowns, namely incremental displacements and rotations, as for the case of linear elastic rate independent materials. As a result, existing SO(3)-consistent linearizations of the governing equations and update procedures can straightforwardly be used [3], since no significant complexities are introduced by the viscoelastic material. Moreover, this formulation permits accurately and very efficiently managing beams assemblies featuring complex initial shape and topology [4], with a potential impact in many engineering sectors, including the design of architectured materials and fluid-structure interaction in civil, industrial, and offshore engineering. Numerical applications involving single- and multi-patch structures will be presented, proving the accuracy and flexibility of the proposed formulation.