The transient statistical energy analysis (TSEA) method is suitable for solving high-frequency structural dynamic response problems, and has been widely used in aerospace and marine fields. However, for complex structures such as hull shells and multi-compartment submersibles, there are problems such as a cumbersome computational process and huge computational volume. This paper proposes the Iterative TSEA (ITSEA) method, which utilizes an iterative approach to solve the energy balance equation combined with initial conditions. Validation shows that compared to TSEA, the ITSEA algorithm saves 40% of computational parameters and processes, while the relative error of the energy decay curve after 20 iterations is no more than 2.1%. ITSEA offers significant advantages for large-scale shock response calculations for complex structures, and for structures with more than 30 subsystems, the improvement in computational efficiency becomes significant.
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