Dynamic response of a linear multiple degrees-of-freedom system

The object of study is a 5-story reinforced concrete moment-resisting frame building represented as a linear multiple degrees-of-freedom system (MDOF-system). This work aims to investigate the dynamic response of the MDOF-system using the dynamic analysis and simplified modal spectral procedure. Method. Utilizing Mathcad software, a comprehensive set of analyses including Modal Analysis, Uncoupling of the Dynamic Equilibrium Equation, Base Excitation, Modal Spectral Analysis, and Modal Combination (Square Root of the Sum of the Squares - SRSS) method was conducted. The methodology involved a systematic approach to modeling the dynamic behavior of the MDOF system, followed by an application of the aforementioned analyses to evaluate its seismic response. Results. Results revealed significant insights into the dynamic characteristics and vulnerabilities of the system, demonstrating variations in response across different modes of vibration and highlighting the efficacy of the SRSS method in predicting seismic response. The study concludes with a comparison of the computational results, underscoring the critical role of advanced simulation in improving the accuracy of seismic design practices.