This course covers the main aspects of mechanical vibrations that includes the following topics: equations of motion of single- and multi-degree-of-freedom systems, free and forced vibration analysis of undamped and damped systems, response to steady-state excitation, coordinate coupling and semidefinite systems, modeling of multi-degree-of-freedom systems via Lagrange’s equation, vibration of continuous systems, design of vibration isolation systems and dynamic absorbers.
1. To instill an appreciation for the role of vibration in the design and operation of machines and structures.
2. To develop the skills to translate a physical model of a vibratory system to an appropriate mathematical model.
3. To develop the ability to analyze and predict vibration characteristics and response of mechanical and structural systems.
4. To develop the ability to design mechanical and structural systems to achieve the desired vibration characteristics and response.