M. L. James, G. M. Smith, J. C. Wolford and P. W. Whaley, Vibration of Mechanical and Structural Systems, 2nd Edition.

Course Objectives:

The purpose of the course is to develop the skills needed to design and analyze mechanical systems in which vibration problems are typically encountered. These skills include analytical and numerical techniques (e.g., finite element methods) that allow the student to model the system, analyze the system performance and employ the necessary design changes. Emphasis is placed on developing a thorough understanding of how the changes in system parameters affect the system response.

Course Outcomes: Students must have the ability to:

1. Derive the equations of motion of single and multi-degree of freedom systems, using Newton's Laws and energy methods.

2. Determine the natural frequencies and mode shapes of single and multi-degree of freedom systems.

3. Evaluate the dynamic response of single and multi-degree of freedom systems under impulse loadings, harmonic loadings, and general periodic excitation.

4. Apply modal analysis and orthogonality conditions to establish the dynamic characteristics of multi-degree of freedom systems.

5. Generate finite element models of discrete systems to simulate the dynamic response to initial conditions and external excitations.

The following statement indicates which of the following considerations are included in this course: economic, environmental, ethical, political, societal, health and safety, manufacturability, sustainability.