2009-2010 Bulletin â PDF - SEAS Bulletin - Columbia University
2009-2010 Bulletin â PDF - SEAS Bulletin - Columbia University
2009-2010 Bulletin â PDF - SEAS Bulletin - Columbia University
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102<br />
ENME E4114y Mechanics of fracture and<br />
fatigue<br />
Lect: 3. 3 pts. Professor Testa.<br />
Prerequisite: Undergraduate mechanics of solids<br />
course. Elastic stresses at a crack; energy and<br />
stress intensity criteria for crack growth; effect of<br />
plastic zone at the crack; fracture testing applications.<br />
Fatigue characterization by stress-life and<br />
strain-life; damage index; crack propagation; fail<br />
safe and safe life analysis.<br />
ENME E4202y Advanced mechanics<br />
Lect: 3. 3 pts. Professor Dasgupta.<br />
Prerequisite: ENME E3105 or the equivalent.<br />
Differentiation of vector functions. Review of kinematics.<br />
Generalized coordinates and constraint<br />
equations. Generalized forces. Lagrange’s equations.<br />
Impulsive forces. Collisions. Hamiltonian.<br />
Hamilton’s principle.<br />
ENME E4214y Theory of plates and shells<br />
Lect: 3. 3 pts. Professor Dasgupta.<br />
Prerequisite: ENME 3113. Static flexural response<br />
of thin, elastic, rectangular, and circular plates.<br />
Exact (series) and approximate (Ritz) solutions.<br />
Circular cylindrical shells. Axisymmetric and<br />
non-axisymmetric membrane theory. Shells of<br />
arbitrary shape.<br />
ENME E4215x Theory of vibrations<br />
Lect: 3. 3 pts. Professor Betti.<br />
Frequencies and modes of discrete and continuous<br />
elastic systems. Forced vibrations–steadystate<br />
and transient motion. Effect of damping.<br />
Exact and approximate methods. Applications.<br />
ENME E4332x Finite element analysis, I<br />
Lect: 3. 3 pts. Professor Waisman.<br />
Prerequisites: Mechanics of solids, structural<br />
analysis, elementary computer programming, linear<br />
algebra. Matrix methods of structural analysis:<br />
displacement method and flexibility methods.<br />
Principle of stationary potential energy. Rayleigh-<br />
Ritz approximation. Finite element approximation.<br />
Displacement-based elements for structural<br />
mechanics. Isoparametric formulation.<br />
ENME E6220x Random processes in mechanics<br />
Lect: 2.5. 3 pts. Professor Deodatis.<br />
Prerequisite: ENME E4215 or the equivalent.<br />
Random variables, stationary and ergodic random<br />
processes, correlation functions, and power<br />
spectra. Input-output relations of linear systems:<br />
analysis of response of discrete and continuous<br />
structures to random loadings. Crossing rates,<br />
peak distributions, and response analysis of<br />
nonlinear structures to random loading.<br />
Simulation of stationary random processes.<br />
ENME E6315x Theory of elasticity<br />
Lect: 2.5. 3 pts. Instructor to be announced.<br />
Foundations of continuum mechanics. General<br />
theorems of elasticity. Application to stress analysis<br />
and wave propagation.<br />
ENME E6333y Finite element analysis, II<br />
Lect: 2.5. 3 pts. Professor Waisman.<br />
Prerequisite: CIEN E4332 or the instructor’s<br />
permission. Galerkin finite element formulation.<br />
Convergence requirements. Element and mesh<br />
instabilities. Stress calculation. Finite elements<br />
in heat flow and dynamics. Nonlinear problems.<br />
Introduction to boundary element method.<br />
ENME E8320y Viscoelasticity and plasticity<br />
Lect: 3. 4 pts. Professor Chen.<br />
Prerequisite: ENME E6315 or the equivalent, or<br />
the instructor’s permission. Constitutive equations<br />
of viscoelastic and plastic bodies. Formulation<br />
and methods of solution of the boundary value,<br />
problems of viscoelasticity and plasticity.<br />
ENME E8323y Nonlinear vibrations<br />
Lect: 2.5. 3 pts. Instructor to be announced.<br />
Prerequisite: ENME E4215 or the equivalent.<br />
Free and forced motion of simple oscillators with<br />
nonlinear damping and stiffness. Exact, perturbation,<br />
iteration, and graphical methods of solution.<br />
Stability of motion. Chaotic vibrations.<br />
COURSES IN GRAPHICS<br />
GRAP E1115x or y Engineering graphics<br />
Lect: 1. Lab: 3. 3 pts. Mr. Sanchez.<br />
Open to all students. Visualization and simulation<br />
in virtual environments; computer graphics methods<br />
for presentation of data. 3-D modeling; animation;<br />
rendering; image editing; technical drawing. Lab<br />
fee: $300.<br />
GRAP E2005y Computer-aided engineering<br />
graphics<br />
Lect: 1.5. Lab: 2.5. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>.<br />
Prerequisite: MATH V1105. Basic concepts needed<br />
to prepare and understand engineering drawings<br />
and computer-aided representations: preparation<br />
of sketches and drawings, preparation and<br />
transmission of graphic information. Lectures<br />
and demonstrations, hands-on computer-aided<br />
graphics laboratory work. Term project.<br />
GRAP E3115y Advanced computer modeling<br />
and animation<br />
Lect: 1. Lab: 3. 3 pts. Mr. Sanchez.<br />
Prerequisite: GRAP E1115 or the instructor’s permission.<br />
Explores applications of 3-D modeling,<br />
animation, and rendering techniques in the arts,<br />
architecture, engineering, entertainment, and science.<br />
Visualization through conceptual modeling<br />
and animation techniques for product design and<br />
realistic presentations. Lab fee: $300.<br />
GRAP E4005y Computer graphics in engineering<br />
Lect: 3. 3 pts. Professor Dasgupta.<br />
Prerequisites: Any programming language and<br />
linear algebra. Numerical and symbolic (algebraic)<br />
problem solving with Mathematica. Formulation<br />
for graphics application in civil, mechanical, and<br />
bioengineering. Example of two- and three-dimensional<br />
curve and surface objects in C++ and<br />
Mathematica; special projects of interest to electrical<br />
and computer science.<br />
<strong>SEAS</strong> <strong>2009</strong>–<strong>2010</strong>