The structural survivability of shipboard mast/antenna systems subjected to underwater explosion can be designed in, through the determination of the structural dynamics of the mast/antenna system. This thesis details the specialized application of accurate and efficient analytic methods for the structural dynamic design analysis of shipboard mast/antenna systems. Investigated herein are a class of substructuring methods, generally referred to as component mode synthesis, which provide for the rapid calculation of dynamic response of the mast/antenna structural system to weapons effects. Additionally, the methods also provide for the simulation of live fire testing. The methods allow the individual antenna and the mast to each be independently modeled, arbitrarily combined, and combined system dynamic response rapidly calculated to determine the structural survivability of a proposed mast/antenna configuration. This rapid and modular component-based analysis capability is specifically tailored for interactive computer-aided design analysis of shipboard mast/ antenna systems.