From 9fec7f161f6482e57276bc1c2b2b392159374a99 Mon Sep 17 00:00:00 2001 From: Lucas T Dombroski Date: Thu, 14 Dec 2017 21:30:45 -0500 Subject: [PATCH] Update README.md --- README.md | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/README.md b/README.md index 57bd4ed..0c26970 100644 --- a/README.md +++ b/README.md @@ -113,6 +113,8 @@ Use membranesolution function to solve for w and plot the result with surf(X,Y,W # Part E +### Problem +Create a function that calculates the difference in strain energy and work done by pressure for n-by-n elements '[pw_se,w]=SE_diff(T,P,n)'. ```matlab function [pw_se,w]=SE_diff(T,P,n) % SE_diff: calculates difference between strain energy and work done by pressure in @@ -161,6 +163,8 @@ pw_se = pw-se; - Using these values, the strain energy can be calculated # Part F +### Problem +Use a root-finding method to calculate the tension in the membrane given a pressure, P=0.001 MPa, and n=[20:5:40] interior nodes. Show the decrease in tension error in a table. ```matlab % Part F script % From Problem Statement: @@ -257,6 +261,8 @@ end - This problem uses the bisect method for locating roots and the SE_diff function for calculating the difference in work and strain energy of the membrane - The script runs through all iterations of different amounts of nodes, zeroing the SE_diff function output and saving the values for tension in the T variable as a vector # Part G +### Problem +Plot the pressure vs maximum deflection for pressure range 0.001-0.01 MPa with 10 steps using a root-finding method to determine tension, T, at each pressure. ```matlab % Part G Script % From Problem Statement @@ -301,6 +307,8 @@ print('Part g','-dpng') - The results are plotted # Part H +### Problem +Show that the constant A is converging as the number of nodes is increased. ```matlab % Part G Script % From Problem Statement