Students who successfully complete the course will be able to:

• Apply elasticity, strain energy concepts, and Hamilton’s principle to derive governing partial differential equations of motion and boundary conditions for continuous systems.
• Formulate eigenvalue problems and determine natural modes of vibration using analytical methods.
• Determine natural modes of vibration for strings, rods, beams, and membranes using computational techniques.
• Compute the free and forced responses of undamped continuous systems through exact modal analysis and approximate solution methods.
• Interpret and apply the results of both exact and approximate methods to practical engineering applications.