Modal Analysis: Initial Conditions and Temporal Evolution

This lecture covers the modal analysis in vibrational mechanics, focusing on determining the system's behavior based on initial conditions and temporal evolution. It discusses the decomposition of initial conditions in modal bases, the response of the system to different initial conditions, and the evolution over time. The lecture also addresses the concepts of kinetic and potential energy in vibrational systems, emphasizing the importance of understanding these energy forms in analyzing mechanical vibrations.