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Many efficient modeling methods have been developed for analyzing the effects of component-level variations and uncertainties on the system-level response of complex structures. However, relatively little work has addressed the efficient or agile modeling of variations in the connections between components. Such a capability would be useful for simulation (e.g., performing reliability analysis accounting for spot welding variations) and design (e.g., determining fastener locations for up-armor kits) of commercial and military ground vehicle structures. In this work, a component mode synthesis approach to structural modeling is enhanced by also modeling variations in the connections between components. With this framework, changes in the joining or fastening of the components can be considered in a structural analysis or design process. The components are condensed statically or dynamically with all the candidate joining nodes being retained as active degrees of freedom.