Structural Dynamics and Vibration Analysis of the MDOF Systems

Because the vibration of buildings plays an important role in resisting an earthquake, we need some methods to analyze the vibration of the MDOF systems. This paper proposes a method to analyze the structural dynamics and vibration of the MDOF systems by using the “modal superposition method” and the “Duhamel integral”. We set the system consisting of mass, stiffness, and damping to correspond to actual situations. The results obtained in this research include the E.O.M: natural frequency and mode shape of the building model, which can show the resonance of the building. Based on our analysis, designers can make a more appropriate design of buildings that can reduce the mortality in the earthquake.