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Campus
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College of E&ME
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Programs
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PG
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Session
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Fall Semester 2016
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Course Title
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Nonlinear Dynamics
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Course Code
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ME-837
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Credit Hours
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3
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Pre-Requisutes
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Nil
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Course Objectives
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This first graduate level course in nonlinear systems. It starts from the introduction to nonlinear dynamics, multiple solutions, stability analysis, bifurcation, and various techniques to analyze motions. Each topic will include examples of physical systems undergoing these phenomena. The course will also cover some control techniques including feedback linearization and sliding-mode control.
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Detail Content
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Fundamental understanding of mechanics in continuum regime.M
Contents with suggested contact hours
- Introduction to nonlinear systems (3 hrs)
- Perturbation methods (9 hrs)
- Stability analysis & types of bifurcations (9 hrs)
- Periodic solution (3 hrs)
- Quasi-periodic solution (3 hrs)
- Chaos (3 hrs)
- Tools to analyze motion (6 hrs)
- Control techniques (6 hrs)
Course outcome
- Nonlinear Dynamics is an advance graduate level course equally relevant in Mechanical and Electrical Engineering.
- The major outcome of this course is fundamental understanding of nonlinearity in dynamical systems: continuous and maps.
- Analysis of solutions: equilibrium, periodic, quasi-periodic, and chaos, through time history, spectral analysis, Poincare maps, Lyapunov exponents and other tools to analyze motion.
- MATLAB codes are provided to solve practical problems. Students learn about bifurcation analysis, frequency-response curves (bifurcation diagrams) of nonlinear systems and perturbation theory in detail.
- Course also includes brief introduction to nonlinear control. The course is followed by a class project in which students apply nonlinear dynamics tools to an engineering application.
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Text/Ref Books
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- Nayfeh, A. H. and Balachandran, B., Applied Nonlinear Dynamics, Wiley-Interscience, New York, 1995.
- Nayfeh, A. H. and Mook, D. T., Nonlinear Oscillations, Wiley-Interscience, New York, 1979.
- H. K. Khalil. Nonlinear Systems, 3rd Edition. Prentice-Hall, 2002.
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Time Schedule
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Faculty/Resource Person
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