Lightweight booms are being developed as a basic building element of deployable space structures for future NASA missions. This paper presents an analytical modeling and solution technique, namely the Distributed Transfer Function Method (DTFM), for synthesis and design of deployable boom structures. A space boom structure in consideration is modeled as a space frame that is enhanced by springs. In the DTFM, the distributed transfer functions describing the bending, torsion, and longitudinal deformations of frame members are first derived. A global dynamic equilibrium equation of the boom structure is assembled from the member transfer functions. Solution of the global equilibrium equation leads to free vibration solution and frequency response of the boom structure. The accuracy and efficiency of DTFM is demonstrated in a numerical example.

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