Three Dynamic Substructure Methods: Implementation and Comparative Analysis

In this paper, we present comprehensive implementations of three dynamic substructure methods and conduct systematic comparisons. The implementations include free-interface component mode synthesis (focusing on interface degree-of-freedom handling), fixed-interface component mode synthesis (utilizing constraint modal analysis), and double-boundary free-interface component mode synthesis (employing dual-coordination techniques). Our code implementations feature modular architecture with separate functions for eigenvalue computation, modal truncation algorithms, and interface coordination procedures. Furthermore, we analyze the advantages and limitations of each method through numerical experiments, including computational efficiency metrics and accuracy assessments under various boundary conditions. The implementation incorporates error analysis algorithms and performance benchmarking routines. Additionally, we discuss appropriate application scenarios for each method based on structural complexity and computational requirements. Finally, we propose future research directions focusing on algorithm optimization techniques, parallel computing implementations, and enhanced modal selection criteria to improve both efficiency and practical applicability of these dynamic substructure methods.