Instructor

Dr. Arun Kumar Kota

Mechanical and Aerospace Engineering

Email: Coming Soon
TBA

MAE 589 612 Bio-inspired Surfaces CANCELED for FALL

3 Credit Hours

Most systems are nonlinear, but the nonlinearities are often ignored. This course’s objective is to provide tools for analyzing and simulating nonlinear systems. This course provides an introduction to geometrical concepts, analytical methods, Poincaré maps, strange attractors, bifurcation, normal forms, center manifold theory, Lyapunov stability, Lyapunov exponents, linearization about periodic orbits, Floquet theory, bifurcation analysis.

Prerequisites

(NC State 341) AND

Dynamics of Machines (NC State 315)

Course Objectives

1) Understand the fundamentals of nonlinear dynamics
2) Solve nonlinear dynamics problems analytically, with Mathematica
3) Solve nonlinear dynamics problems numerically, with MATLAB
4) Collect and analyze experimental nonlinear dynamics data

Representative Lecture Topics

1) Introduction and Stability
2) Equilibrium Solutions and Bifurcations
3) Periodic Solutions
4) Quasiperiodic Solutions
5) Chaos
6) Tools to Analyze Motion

Grading and Evaluation Procedures

Midterm Exam15%
Final Exam10%
Student-led Problem Presentation5%
Lit Review Presentation10%
Final Project Presentation10%
Written Lit Review15%
Written Final Project Report15%
Homework10%
Quizzes10%

Textbook

Applied Nonlinear Dynamics – Nayfeh and Balachandran

 

Additional Resources:

Nonlinear Dynamics and Chaos – Strogatz
MAE 5790 – Cornell MAE on YouTube (Strogatz class)
Wolfram Demonstrations Project

Computer and Software Requirements

Please review minimum computer specifications recommended by NC State University and Engineering Online.

Required software: MATLAB, Mathematica, SolidWorks

Recommended software: Arduino, LabVIEW, LaTeX

Created 10/08/2020

Syllabus

Fall 2022 Coming Soon