Course Description
Modeling and analysis of multi-degree-of-freedom vibrating
systems, including free and forced response of both undamped and
damped systems. Lumped parameter and distributed parameter
systems will be studied. Application of time domain and frequency
domain techniques to the design and analysis of complex
mechanical systems.
Athena Title
Advanced Mechanical Vibrations
Semester Course Offered
Offered every year.
Grading System
A - F (Traditional)
Student learning Outcomes
- 1. By the end of this course, students will be able to Model linear and nonlinear multi-degree-of-freedom vibrating systems using Newton’s Laws, Lagrange’s Methods, and Hamilton’s Principle.
- 2. By the end of this course, students will be able to analyze undamped and damped multi-degree-of-freedom vibrating systems undergoing free and forced vibration.
- 3. By the end of this course, students will be able to derive the partial differential equations that model strings, bars, and beams; apply separation of variables to obtain the spatial and temporal response of distributed parameter systems.
- 4. By the end of this course, students will be able to apply approximation techniques to continuous systems for the purpose of creating finite-dimensional representations of infinite-dimensional systems represented by partial differential equations.
- 5. By the end of this course, students will be able to apply research methods to the analysis of a peer-reviewed journal article.
Topical Outline
- Introduction & Review
- Lagrange’s Equations
- Modal Analysis & Forced Systems
- Beam Vibration
- Vibration of Plates and Shells
- Discretization Techniques
- Ritz Analysis
- Complex Modal Analysis
- Dynamic Substructuring
- Signal Processing
- Experimental Modal Analysis
- Random Vibrations
- Nonlinear Vibrations
- Special Topics
