User:Eml5526.s11/Lecture plan

 Under construction throughout the semester. Egm6321.f10 21:49, 31 October 2010 (UTC)

= All versions =

EGM 6341, Spring 2011, Lecture plan

= Recorded lectures, TA user page =

Recorded lectures in E-Learning at UF

= Lecture notes, report table =

Additional presentations (video, wiki, static html) made in class may not be recorded on these transparencies.

A mtg number n followed by a version letter in parentheses ([a-z]) indicates that this pdf file had been updated with a 2nd version "b", 3rd version "c", etc. The second letter "x" after a version letter designates an extra lecture; this letter became "m" after the extra lecture had become a make-up lecture. If you had downloaded this pdf file before, you want to clear the cache of your browser so to get the new version.

djvu: (install the viewers DjView4 or evince) [[media:fe1.s11.mtg1.djvu|Mtg 1 (b)]], [[media:fe1.s11.mtg2.djvu|Mtg 2 (c)]], [[media:fe1.s11.mtg3.djvu|Mtg 3 (b)]], [[media:fe1.s11.mtg4.djvu|Mtg 4 (g)]], [[media:fe1.s11.mtg5.djvu|Mtg 5 (c)]], [[media:fe1.s11.mtg6.djvu|Mtg 6 (d,m)]], [[media:fe1.s11.mtg7.djvu|Mtg 7 (b,m)]], [[media:fe1.s11.mtg8.djvu|Mtg 8 (b)]], [[media:fe1.s11.mtg9.djvu|Mtg 9 (e)]], [[media:fe1.s11.mtg10.djvu|Mtg 10 (e,m)]], [[media:fe1.s11.mtg11.djvu|Mtg 11 (c)]], [[media:fe1.s11.mtg12.djvu|Mtg 12 (d)]], [[media:fe1.s11.mtg13.djvu|Mtg 13 (c)]], [[media:fe1.s11.mtg14.djvu|Mtg 14 (b)]], [[media:fe1.s11.mtg15.djvu|Mtg 15 (b)]], [[media:fe1.s11.mtg16.djvu|Mtg 16 (f,m)]], [[media:fe1.s11.mtg17.djvu|Mtg 17 (b)]], [[media:fe1.s11.mtg18.djvu|Mtg 18 (d)]], [[media:fe1.s11.mtg19.djvu|Mtg 19 (d)]], [[media:fe1.s11.mtg20.djvu|Mtg 20 (c)]] [[media:fe1.s11.mtg20.old.djvu|{old}]], [[media:fe1.s11.mtg21.djvu|Mtg 21 (c)]], Mtgs 22+23: Exam 1 (thus the Mtg no. from 22 to 26 should be incremented by 2, i.e., [[media:fe1.s11.mtg22.djvu|Mtg 22]] should be numbered Mtg 24, ..., [[media:fe1.s11.mtg26.djvu|Mtg 26]] should be numbered Mtg 28) [[media:fe1.s11.mtg22.djvu|Mtg 22 (a,m)]], [[media:fe1.s11.mtg23.djvu|Mtg 23 (c,m)]], [[media:fe1.s11.mtg24.djvu|Mtg 24]], [[media:fe1.s11.mtg25.djvu|Mtg 25 (b)]], [[media:fe1.s11.mtg26.djvu|Mtg 26 (c)]], (Mtg numbers are readjusted from Mtg 29 on) [[media:fe1.s11.mtg29.djvu|Mtg 29 (b,m)]], [[media:fe1.s11.mtg30.djvu|Mtg 30 (b,m)]], [[media:fe1.s11.mtg31.djvu|Mtg 31]], [[media:fe1.s11.mtg32.djvu|Mtg 32 (b,x)]], [[media:fe1.s11.mtg33.djvu|Mtg 33 (b)]], [[media:fe1.s11.mtg34.djvu|Mtg 34 (e)]], [[media:fe1.s11.mtg35.djvu|Mtg 35]], [[media:fe1.s11.mtg36.djvu|Mtg 36 (a,x)]], [[media:fe1.s11.mtg37.djvu|Mtg 37]], [[media:fe1.s11.mtg38.djvu|Mtg 38 (b)]], [[media:fe1.s11.mtg39.djvu|Mtg 39 (c)]], [[media:fe1.s11.mtg40.djvu|Mtg 40 (c)]], [[media:fe1.s11.mtg41.djvu|Mtg 41 (c)]], [[media:fe1.s11.mtg42.djvu|Mtg 42 (b)]], Mtgs 43+44: Exam 2

Report table

Course billboard

Inspiring video on teamwork and learning: A hole in the wall: How children learn without a teacher

Mourning the Death of Handwriting, By Claire Suddath. Time Magazine, Monday, Aug. 03, 2009.

Op-Art: The Write Stuff, by Inga Dubay and Barbara Getty, NY Times, 8 Sep 2009.

= References =

Books
$$\displaystyle \clubsuit$$ Fish, J., Belytschko, T.,  A First Course in Finite Elements , Wiley, 2007. amazon Student companion site (Chap 12, matlab codes, errata)

$$\displaystyle \clubsuit$$ Hughes, T.J.R.,  The Finite Element Method: Linear Static and Dynamic Finite Element Analysis , Dover, 2000. amazon

$$\displaystyle \clubsuit$$ Cook, R.D., Malkus, D.S., Plesha, M.E., Witt, R.J.,  Concepts and applications of finite element analysis,  4th edition, Wiley, 2004. amazon

$$\displaystyle \clubsuit$$ Johnson, C.  Numerical Solution of Partial Differential Equations by the Finite Element Method,  Dover, 2009. amazon

Web references
$$\displaystyle \spadesuit$$ Algorithm (wikipedia)

$$\displaystyle \spadesuit$$ Related MIT OpenCourseWare courses

$$\displaystyle \spadesuit$$ Wolfram|Alpha is ... "learning resource available to your students at no cost that works as a computational knowledge engine. Wolfram|Alpha is not a search engine like Google or Yahoo!, because unlike a traditional search engine, Wolfram|Alpha has the capability to instantly compute the answer to previously unasked questions instead of scouring the web and returning links to pages that already exist. The results are displayed in an easy-to-read, understandable format that can be used as a primary source for educational and academic purposes."

$$\displaystyle \spadesuit$$ Stephen Wolfram: Computing the theory of everything, video on TED.com

$$\displaystyle \spadesuit$$ EqWorld, The World of Mathematical Equations. It is a good idea to verify the sources, as the site is not responsible for accuracy and correctness; see Rights and obligations of contributors and website administration.
 * 2nd-order linear ODEs
 * 2nd-order non-linear ODEs
 * ODE education

$$\displaystyle \spadesuit$$ ODE (Wikipedia): Be careful; always verify the sources.

Papers
$\displaystyle \color{red}{\clubsuit}$ NEW: Vu-Quoc, L., Zhang, X., and Walton, O.R., A 3-D discrete element method for dry granular flows of ellipsoidal particles, invited paper to the special issue of the Computer Methods in Applied Mechanics and Engineering on Dynamics of Contact and Impact Problems, Vol.187, No.3-4, pp.483-528, 2000. (pdf)

$\displaystyle \color{red}{\clubsuit}$ NEW: Vu-Quoc, L., and Zhang, X., An elasto-plastic contact force-displacement model in the normal direction: Displacement-driven version, Proceedings of the Royal Society of London, Series A, Vol.455, No.1991, pp.4013-4044, 1999. (pdf)

$\displaystyle \color{red}{\clubsuit}$ NEW: Plantard, G. and Papini, M., "Mechanical and electrical behaviors of polymer particles. Experimental study of the contact area between two particles.  Experimental validation of a numerical model.", Granular Matter, Vol.7, No.1, pp.1-12, 2005. (pdf)

$\displaystyle \color{red}{\clubsuit}$ NEW: Kane, G., String theory and the real world, Physics Today, Nov 2010.

$$\displaystyle \clubsuit$$ P.-O. Persson, G. Strang, A Simple Mesh Generator in MATLAB. SIAM Review, Volume 46 (2), pp. 329-345, June 2004.

$$\displaystyle \clubsuit$$ Nagasao, T. et al., Dynamic effects of the Nuss procedure on the spine in asymmetric pectus excavatum, The Journal of Thoracic and Cardiovascular Surgery, Volume 140, Issue 6, December 2010, Pages 1294-1299. Nuss procedure (wikipedia)

Demo of FEA commercial software
Abaqus: Solutions, Student edition ($100)

Ansys: Demo room, Products and simulations.

Comsol: Product tutorials, CFD simulation

MSC Software: FEA Learning Center, Patran and MD Nastran; Free student edition, Free curriculum kit (...a set of example problems that serve as tutorials ... user-friendly workshops ... designed to guide you step-by-step through all the features of MD Patran and MD Nastran and also include several real world application problems...)

News
$\displaystyle \color{red}{\clubsuit}$ NEW: Is openness in the digital space killing creativity?, Digital Planet, BBC, 15 Mar 2011.

$\displaystyle \color{red}{\clubsuit}$ NEW: 60-minute program Endless Memory, 19 Dec 2010: Part 1 , Part 2: Forgetting promotes the need to abstract various concepts.

$$\displaystyle \color{red}{\spadesuit}$$  NEW: 

Bing, Now With More Wolfram, NY Times, November 11, 2009. ... Microsoft today announced that it will begin integrating statistics and other data from computational engine WolframAlpha into its search engine Bing.

$$\displaystyle \color{red}{\spadesuit}$$  NEW: 

Ask.com to Return to Old Service, NY Times, November 9, 2010. ... Other search engines have taken on Google with little success. Cuil, one of the upstarts, closed in September after two years. But new challengers include Blekko and WolframAlpha.

$$\displaystyle \color{red}{\spadesuit}$$  NEW: 

Fun With WolframAlpha, NY Times, June 5, 2009.

= One-dimensional problems =

Approximation
Commands for WolframAlpha: (Lagrange interpolation basis functions)

plot {{(x-1)(x-2)(x-4)} / {(3-1)(3-2)(3-4)}}, for 1 <= x <= 4

plot {{(y-2)(y-3)(y-4)} / {(1-2)(1-3)(1-4)}}, for 1 <= y <= 4

plot [{{(x-1)(x-2)(x-4)} / {(3-1)(3-2)(3-4)}} * {{(y-2)(y-3)(y-4)} / {(1-2)(1-3)(1-4)}}], 1 <= x <= 4, 1 <= y  <= 4

Commands for gnuplot:

splot [x=1:4] [y=1:4] ((x-1)*(x-2)*(x-4) / ((3-1)*(3-2)*(3-4))) * ((y-2)*(y-3)*(y-4) / ((1-2)*(1-3)*(1-4)))

Advection–diffusion equation
= Multidimensional scalar field problems =

Advection-diffusion equation
= Vector-field problem: Linear elasticity =

Three-dimensional problems
= Beams =

Minimum potential energy
 Lecture plan of other courses </b>