MECHENG 8230
Transcript Abbreviation:
Nonlinear Dynamics
Course Description:
Analytical, geometric, and perturbation methods for study of nonlinear mechanical systems, and the dynamical phenomena that arise in nonlinear systems including stability, bifurcations, and hysteresis.
Course Levels:
Graduate (5000-8000 level)
Designation:
Elective
General Education Course:
(N/A)
Cross-Listings:
(N/A)
Credit Hours (Minimum if “Range”selected):
3.00
Max Credit Hours:
3.00
Select if Repeatable:
Off
Maximum Repeatable Credits:
(N/A)
Total Completions Allowed:
(N/A)
Allow Multiple Enrollments in Term:
No
Course Length:
14 weeks (autumn or spring)
12 weeks (summer only)
Off Campus:
Never
Campus Location:
Columbus
Instruction Modes:
In Person (75-100% campus; 0-24% online)
Prerequisites and Co-requisites:
Prereq: 7250 (731), or Grad standing in Engineering, or permission of instructor.
Electronically Enforced:
No
Exclusions:
Not open to students with credit for 832.
Course Goals / Objectives:
Learn analytical, geometric, and perturbation methods for analyzing non-linear mechanical systems
Examine nonlinear dynamic behavior including stability, bifurcations, and hysteresis
Apply concepts to real-life non-linear problems
Check if concurrence sought:
No
Contact Hours:
| Topic | LEC | REC out-of-class | REC in-class | Weekly LAB out-of-class | Weekly LAB in-class |
|---|---|---|---|---|---|
| Introduction to the study of nonlinear mechanical systems, sources of nonlinearities, etc. | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Qualitative theory of differential equations: linearization and linear stability, phase plane/space, basins of attraction, periodic motions including limit cycles, Poincare maps and discrete dynamical systems | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Various analytical perturbations techniques for the study of (linear and nonlinear) systems: Linstedt-Poincare, harmonic balance, averaging, matched asymptotic, etc. | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Vibrations of nonlinear mechanical systems, forced, unforced, damped, and parametrically excited systems. | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Special topics: machine tool chatter, aeroelastic flutter, robot stability, stability of controlled dynamic systems, material and structural hysteresis, turbulence, etc. | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Qualitative theory of differential equations: time-varying and time-invariant systems, nonlinear stability and structural stability, dependence on initial conditions, various bifurcations, etc. | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Total | 0 | 0 | 0 | 0 | 0 |
Grading Plan:
Letter Grade
Course Components:
Lecture
Grade Roster Component:
Lecture
Credit by Exam (EM):
No
Grades Breakdown:
| Aspect | Percent |
|---|---|
| Homework | 40% |
| 2 Midterms | 30% |
| Course Project | 30% |
Representative Textbooks and Other Course Materials:
| Title | Author | Year |
|---|---|---|
| No Textbooks and Other Course Materials Entered. | ||
ABET-CAC Criterion 3 Outcomes:
(N/A)
ABET-ETAC Criterion 3 Outcomes:
(N/A)
ABET-EAC Criterion 3 Outcomes:
(N/A)
Embedded Literacies Info: