2008-2009 Bulletin – PDF - SEAS Bulletin - Columbia University

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tutive models for biological tissues. Linear and
nonlinear models or fibrillar and viscoelastic
porous matrices. Solutions to special problems,
such as confined and unconfined compression,
permeation, indentation and contact, and swelling
experiments.
MECE E6313x Advanced heat transfer
Lect: 3. 3 pts. Professor Naraghi.
Prerequisite: MECE E3311. Corequisite: MECE
E6100. Application of analytical techniques to the
solution of multi-dimensional steady and transient
problems in heat conduction and convection.
Lumped, integral, and differential formulations.
Topics include use of sources and sinks,
laminar/turbulent forced convection, and natural
convection in internal and external geometries.
MECE E6400y Advanced machine dynamics
Lect: 3. 3 pts. Not given in 2008–2009.
Prerequisite: MECE E3401. Review of classical
dynamics, including Lagrange’s equations.
Analysis of dynamic response of high-speed
machine elements and systems, including massspring
systems, cam-follower systems, and gearing;
shock isolation; introduction to gyrodynamics.
MECE E6422x-E6423x or y Introduction to the
theory of elasticity, I and II
Lect: 3. 3 pts. E6422x: Professor Lai; E6423y:
Instructor to be announced.
Corequisite: APMA E4200. Analysis of stress
and strain. Formulation of the problem of elastic
equilibrium. Torsion and flexure of prismatic bars.
Problems in stress concentration, rotating disks,
shrink fits, and curved beams; pressure vessels,
contact and impact of elastic bodies, thermal
stresses, propagation of elastic waves.
MECE E6424x Vibrations in machines, I
Lec: 3. 3 pts. Professor Stolfi.
Prerequisite: MECE E3401. Review of vibration
analysis of systems and mechanisms with one
degree of freedom. Natural frequencies. Forced
vibrations. Effects of dry and viscous friction.
Energy methods of Rayleigh and Ritz. Suppression
and elimination of vibration. Vibration isolation.
Measuring instruments. Critical speeds in machinery.
Synchronous whirl. Half-frequency whirl.
Influence of bearing characteristics on critical
speeds. Effect of gyroscopic moments. Systems
with multiple degrees of freedom. Dynamic vibration
absorbers. Self-tuning absorbers of pendulum
and roller types. Lagrangian equations of motion
as applied to vibrating systems. General equations
for transverse critical speeds of shafts.
Surging of helical springs.
EEME E6601x Introduction to control theory
Lect: 3. 3 pts. Professor Longman.
Prerequisite: MATH E1210. A graduate-level introduction
to classical and modern feedback control
that does not presume an undergraduate background
in control. Scalar and matrix differential
equation models and solutions in terms of state
transition matrices. Transfer functions and transfer
function matrices, block diagram manipulations,
closed loop response. Proportional, rate,
and integral controllers, and compensators.
Design by root locus and frequency response.
Controllability and observability. Luenberger
observers, pole placement, and linear-quadratic
cost controllers.
EEME E6602y Modern control theory
Lect: 3. 3 pts. Not given in 2008–2009.
Prerequisite: EEME E6601 or EEME 4601 or
ELEN E6201, or the instructor’s permission.
Singular value decomposition. ARX model
and state space model system identification.
Recursive least squares filters and Kalman filters.
LQR, H∞, linear robust control, predictive control.
Learning control, repetitive control, adaptive
control. Liapunov and Popov stability. Nonlinear
adaptive control, nonlinear robust control, sliding
mode control.
EEME E6610y Optimal control theory
Lect: 3. 3 pts. Professor Longman.
Prerequisite: EEME E6601 or EEME E4601 or
the instructor’s permission. Covers topics in calculus
of variations, Pontryagin maximum principle,
quadratic cost optimal control, predictive control,
SEAS 2008–2009