From 56aabf75f6dc7a25c1d54d6db0d09608ff9bac56 Mon Sep 17 00:00:00 2001 From: "Ryan C. Cooper" Date: Wed, 26 Apr 2017 17:22:47 -0400 Subject: [PATCH] added lecture 25 and corrected project numbers --- final_project/README.md | 8 ++++---- final_project/final_project.pdf | Bin 234524 -> 153104 bytes lecture_24/lecture_24.ipynb | 4 +++- lecture_24/octave-workspace | Bin 0 -> 153 bytes lecture_25/final_notes.pdf | Bin 0 -> 369941 bytes lecture_25/lecture_25.pdf | Bin 0 -> 324580 bytes myode.m | 7 +++++++ 7 files changed, 14 insertions(+), 5 deletions(-) create mode 100644 lecture_24/octave-workspace create mode 100755 lecture_25/final_notes.pdf create mode 100755 lecture_25/lecture_25.pdf create mode 100644 myode.m diff --git a/final_project/README.md b/final_project/README.md index cee3ee3..7a7b0ac 100644 --- a/final_project/README.md +++ b/final_project/README.md @@ -56,7 +56,7 @@ b. Use a Monte Carlo model to determine the mean and standard deviation for the maximum deflection $\delta x$ if b and h are normally distributed random variables with 0.1 % standard deviations at q=50 N/m. -3. Now use the central difference approximation to set up a system of equations for the +2. Now use the central difference approximation to set up a system of equations for the beam for q(x)=cst, P=0, and $\omega=0$. Use the boundary conditions with a numerical differentiation to determine the valuea of the end points @@ -71,7 +71,7 @@ differentiation to determine the valuea of the end points e. Comment on the results from the analytical and numerical approaches (if you used functions then provide help files, if you used scripts, then describe the steps used) -4. Now set up the system of equations using a central difference method if P>0 and +3. Now set up the system of equations using a central difference method if P>0 and $\omega=0$ a. set up the system of equations for 6 segments as a function of q and P @@ -83,7 +83,7 @@ $\omega=0$ d. solve a-c for q=1,10,20,30,50 and plot the numerical results of q vs $\delta x$ for P=0, 100, 200, 300 (4 lines, labeled as P=0,P=100,...) -5. Now set up an eigenvalue problem to solve for the natural frequencies of the simply +4. Now set up an eigenvalue problem to solve for the natural frequencies of the simply supported beam if P=0 and q=0. a. set up the system of equations for 6 segments @@ -96,7 +96,7 @@ supported beam if P=0 and q=0. e. Plot the shape of the beam for the first 3 natural frequencies -6. (Bonus 5pt) Create a function to return the system of equations for the eigenvalue +5. (Bonus 5pt) Create a function to return the system of equations for the eigenvalue problem as a function of P, if P>0. 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