Understanding Multi-Degree of Freedom Systems

This course covers the comprehensive understanding of Multi-Degree of Freedom (MDOF) systems and their applications in structural engineering. It begins with the concept of response due to support motion in an MDOF system, using a three-story structure as an illustrative example. The course then delves into the process of deriving the equation of motion in absolute and relative terms, and discusses two methods to solve the problem: modal decomposition and numerical integration. Further, it explains the evaluation of the model participation factor, estimation of the base shear using modal superposition, and calculation of the design lateral force. The course also introduces the concept of response spectrum and its use in design, and the process of decoupling system equations using eigen analysis. Lastly, it provides a practical exercise of reducing a three-degree-of-freedom system into a two-degree-of-freedom system using static and dynamic condensation.