Showing posts with label MIT OpenCourseWare (OCW). Show all posts
Showing posts with label MIT OpenCourseWare (OCW). Show all posts

Thursday, August 11, 2011

MIT OpenCourseWare | Electrical Engineering and Computer Science | 6.243J Dynamics of Nonlinear Systems, Fall 2003 | Home

MIT OpenCourseWare | Electrical Engineering and Computer Science | 6.243J Dynamics of Nonlinear Systems, Fall 2003 | Home

As taught in: Fall 2003

Level:
Graduate

Instructors:
Prof. Alexandre Megretski

Course Description
This course provides an introduction to nonlinear deterministic dynamical systems. Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.

MIT OpenCourseWare | Aeronautics and Astronautics | 16.07 Dynamics, Fall 2009 | Home

MIT OpenCourseWare | Aeronautics and Astronautics | 16.07 Dynamics, Fall 2009 | Home

As taught in: Fall 2009

Level:
Undergraduate

Instructors:
Prof. Sheila Widnall
Prof. John Deyst
Prof. Edward Greitzer

Course Description
This course covers the fundamentals of Newtonian mechanics, including kinematics, motion relative to accelerated reference frames, work and energy, impulse and momentum, 2D and 3D rigid body dynamics. The course pays special attention to applications in aerospace engineering including introductory topics in orbital mechanics, flight dynamics, inertial navigation and attitude dynamics. By the end of the semester, students should be able to construct idealized (particle and rigid body) dynamical models and predict model response to applied forces using Newtonian mechanics.


An assembly experiencing multi-axial rotation. (Image by MIT OpenCourseWare.)

MIT OpenCourseWare | Mechanical Engineering | 2.158J Computational Geometry, Spring 2003 | Home

MIT OpenCourseWare | Mechanical Engineering | 2.158J Computational Geometry, Spring 2003 | Home

As taught in: Spring 2003

Level:
Graduate

Instructors:
Prof. Nicholas Patrikalakis
Prof. Takashi Maekawa

Course Description
Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces. Non-linear solvers and intersection problems. Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees. Robustness of geometric computations. Interval methods. Finite and boundary element discretization methods for continuum mechanics problems. Scientific visualization. Variational geometry. Tolerances. Inspection methods. Feature representation and recognition. Shape interrogation for design, analysis, and manufacturing. Involves analytical and programming assignments.

This course was originally offered in Course 13 (Department of Ocean Engineering) as 13.472J. In 2005, ocean engineering subjects became part of Course 2 (Department of Mechanical Engineering), and this course was renumbered 2.158J.


Curvature map of a torus showing elliptic, parabolic, and hyperbolic regions. (Image by Prof. Nicholas Patrikalakis.)

MIT OpenCourseWare | Electrical Engineering and Computer Science | 6.241 Dynamic Systems & Control, Fall 2003 | Home

MIT OpenCourseWare | Electrical Engineering and Computer Science | 6.241 Dynamic Systems & Control, Fall 2003 | Home

As taught in: Fall 2003

Level:
Graduate
Instructors:
Prof. Munther Dahleh

Course Description
6.241 examines linear, discrete- and continuous-time, and multi-input-output systems in control and related areas. Least squares and matrix perturbation problems are considered. Topics covered include: state-space models, modes, stability, controllability, observability, transfer function matrices, poles and zeros, minimality, internal stability of interconnected systems, feedback compensators, state feedback, optimal regulation, observers, observer-based compensators, measures of control performance, and robustness issues using singular values of transfer functions. Nonlinear systems are also introduced.


Open loop feedback system, with an input (r), output (y), and functions K(s) and P(s), excerpted from a recitation session on the Nyquist stability criterion. (Image by MIT OpenCourseWare.)

Continuum Electromechanics - MIT OpenCourseWare

Free Online Course Materials | Resource Home | MIT OpenCourseWare

Resource Description
First published in 1981 by MIT Press, Continuum Electromechanics, courtesy of MIT Press and used with permission, provides a solid foundation in electromagnetics, particularly conversion of energy between electrical and mechanical forms. Topics include:

electrodynamic laws, electromagnetic forces, electromechanical kinematics, charge migration, convection, relaxation, magnetic diffusion and induction interactions, laws and approximations of fluid mechanics, static equilibrium, electromechanical flows, thermal and molecular diffusion, and streaming interactions. The applications covered include transducers, rotating machines, Van de Graaff machines, image processing, induction machines, levitation of liquid metals, shaping of interfaces in plastics and glass processing, orientation of ferrofluid seals, cryogenic fluids, liquid crystal displays, thunderstorm electrification, fusion machines, magnetic pumping of liquid metals, magnetohydrodynamic power generation, inductive and dielectric heating, electrophoretic particle motion, electrokinetic and electrocapillary interactions in biological systems, and electron beams.

Instructors:
James R. Melcher

Free Online Course Materials | MIT OpenCourseWare

Free Online Course Materials | MIT OpenCourseWare



MIT OpenCourseWare (OCW) is a web-based publication of virtually all MIT course content. OCW is open and available to the world and is a permanent MIT activity.

What is MIT OpenCourseWare?

MIT OpenCourseWare is a free publication of MIT course materials that reflects almost all the undergraduate and graduate subjects taught at MIT.

OCW is not an MIT education.
OCW does not grant degrees or certificates.
OCW does not provide access to MIT faculty.
Materials may not reflect entire content of the course.