Mechanical Vibrations and Fluid Structure Interaction

Overview Mechanical Engineering : Single-degree-of-freedom systems; free vibrations; effect of damping; response to harmonic, periodic and arbitrary excitation. Lagrange's equations of motion. Vibrations of multi-degree-of-freedom systems. Continuous systems.

Introduction to continuous systems. Discretization methods. Vibrations of Euler-Bernoulli and Timoshenko beams. Boundary conditions, intermediate supports and penalty method. Strain-displacement relationships for plates/shells. Vibrations of plates and shells. Sloshing and added mass. Effect of geometric imperfections and thermal loads. Introduction to nonlinear dynamics and stability. Introduction to experimental techniques.