MECHANICAL VIBRATIONS

Prerequisites & course information

Requisites: ( E M A 202 , M E 340 , PHYSICS 311 , or M E 240) and ( E M A 303 or M E 306), graduate/professional standing, or member of Engineering Guest Students. Not open to students with credit for E M A 545. Course Designation: Breadth - Physical Science Level - Advanced L&S Credit - L&S Liberal Arts and Science Grad 50% - Counts toward 50% graduate coursework requirement Repeatable for Credit: No Last Taught: Summer 2026 Learning Outcomes: 1. Derive the equations of motions of single and multi-degree of freedoms systems. Audience: Undergraduate 1. Derive the equations of motions of single and multi-degree of freedoms systems. Audience: Undergraduate 2. Determine the natural frequencies and mode shapes of single and multi-degree of freedom systems. Audience: Undergraduate 2. Determine the natural frequencies and mode shapes of single and multi-degree of freedom systems. Audience: Undergraduate 3. Evaluate the dynamic response of single and multi-degree of freedom system under impulsive, harmonic and periodic loading. Audience: Undergraduate 3. Evaluate the dynamic response of single and multi-degree of freedom system under impulsive, harmonic and periodic loading. Audience: Undergraduate 4. Apply modal analysis and orthogonality conditions to establish the dynamic characteristics of multi-degree of freedom systems. Audience: Undergraduate 4. Apply modal analysis and orthogonality conditions to establish the dynamic characteristics of multi-degree of freedom systems. Audience: Undergraduate 5. Generate finite element models of discrete systems to simulate the dynamic response to initial conditions and external excitations. Audience: Undergraduate 5. Generate finite element models of discrete systems to simulate the dynamic response to initial conditions and external excitations. Audience: Undergraduate 6. Use advanced computational tools to compute and visualize dynamic responses of single- and multi-degree-of-freedom systems. Audience: Graduate 6. Use advanced computational tools to compute and visualize dynamic responses of single- and multi-degree-of-freedom systems. Audience: Graduate Learning Outcomes: 1. Derive the equations of motions of single and multi-degree of freedoms systems. Audience: Undergraduate 1. Derive the equations of motions of single and multi-degree of freedoms systems. Audience: Undergraduate 2. Determine the natural frequencies and mode shapes of single and multi-degree of freedom systems. Audience: Undergraduate 2. Determine the natural frequencies and mode shapes of single and multi-degree of freedom systems. Audience: Undergraduate 3. Evaluate the dynamic response of single and multi-degree of freedom system under impulsive, harmonic and periodic loading. Audience: Undergraduate 3. Evaluate the dynamic response of single and multi-degree of freedom system under impulsive, harmonic and periodic loading. Audience: Undergraduate 4. Apply modal analysis and orthogonality conditions to establish the dynamic characteristics of multi-degree of freedom systems. Audience: Undergraduate 4. Apply modal analysis and orthogonality conditions to establish the dynamic characteristics of multi-degree of freedom systems. Audience: Undergraduate 5. Generate finite element models of discrete systems to simulate the dynamic response to initial conditions and external excitations. Audience: Undergraduate 5. Generate finite element models of discrete systems to simulate the dynamic response to initial conditions and external excitations. Audience: Undergraduate 6. Use advanced computational tools to compute and visualize dynamic responses of single- and multi-degree-of-freedom systems. Audience: Graduate 6. Use advanced computational tools to compute and visualize dynamic responses of single- and multi-degree-of-freedom systems. Audience: Graduate