diff --git a/README.md b/README.md index aee7351..ab286bc 100644 --- a/README.md +++ b/README.md @@ -1 +1,55 @@ # ME 3255 Final Project + +## Part A +Central finite difference approximation for gradient of 3x3 interior nodes of w. +```matlab +[w] = membrane_solution3(T,P); +``` + +## Part B +T = 0.006 uN/um +P = 0.001 MPa +```matlab +[w] = membrane_solution3(0.006,0.001); +``` + + + +## Part C +General central finite difference approximation for gradient +of nxn interior nodes of w. +```matlab +[w] = membrane_solution(T,P,n) +``` + +## Part D +- T = 0.006 uN/um +- P = 0.001 MPa +- n = 10 nodes +```matlab +[w] = membrane_solution(0.006,0.001,10) +``` + +## Part E +Function that calculates the difference in the strain energy and the work done by pressure for n-by-n elements. +```matlab +[pw_se,w] = SE_diff(T,P,n) +``` + + +## Part F +Root-finding Method used to find tension in the Membrane, given: +- P = 0.001 MPa +- n = [20:5:40] + +Error +|number of nodes | Tension (uN/um) | rel. error| +|---|---|---| +|3 |0.059 |n/a| +|20|0.0618|4.5%| +|25|0.0616|0.3%| +|30|0.0614|0.3%| +|40|0.0611|0.3%| + +## Part G +Pressure