At the completion of the course students will be able to:

• Model multi-degree-of-freedom (MDOF) linear structural dynamic systems: Understand the concept of degrees-of-freedom and determine the number of degrees-of-freedom required to model MDOF systems. Develop differential equation models of MDOF systems using Lagrange’s equations. Understand and apply proportional damping in MDOF models.
• Analyze structural matrices of mass, stiffness, and damping for correctness. Apply tests of symmetry, rank, and definiteness to discern properties and correctness of matrices.
• Understand the major steps in a structural dynamic finite element analysis and write a simple dynamic finite element analysis computer program.
• Understand and solve the eigenvalue problem. Apply modal superposition to calculate free and forced time domain response of multi-degree-of-freedom linear structural dynamic systems, including the use of mode displacement and mode acceleration formulations.
• Assess numerically the convergence achieved in a truncated modal superposition calculation for transient and steady-state response.
• Calculate simple reduced-order models of linear structural dynamic models.
• Understand and explain the basic theory of experimental modal analysis.
• Understand and explain the role of computational structural dynamics in the dynamic design of Naval ship structures, as well as ground and air vehicles.