Understanding Structural Dynamics and Motion

This course covers the fundamental principles of structural dynamics and motion, with a focus on Newton's laws, D'Alembert's principle, and Simple Harmonic Motion (SHM). It begins with an in-depth exploration of Newton's three laws of motion, particularly the second law, and how it relates to the concept of dynamic equilibrium through D'Alembert's principle. The course also introduces the concept of degrees of freedom, explaining how it defines the deformed shape of a body. For instance, a pendulum and a portal frame are used as illustrative examples. The course then delves into the concept of SHM, discussing periodic motion, kinetic and potential energy, and the conservation of total energy. Lastly, the course explores the dynamics of a simple pendulum, the role of damping force, and the application of energy conservation principles in structural engineering.