FAQ  •  Login

Assignment 9 - simEngine3D track

<<

samuelacuna

Newbie
Newbie

Posts: 12

Joined: Wed Sep 14, 2016 11:41 pm

Unread post Thu Nov 10, 2016 12:25 am

Assignment 9 - simEngine3D track

Samuel Acuna: Assignment 9 Forum Postings for simEngine3D track
(Sorry, I can't upload both problems 1 and 2 into a single post, max attachments reached)

PROBLEM 1:
Single Pendulum (with driving constraint)
For step-size h=0.01 seconds,
Time to compute Newton-Raphson Solution: 162.0619 seconds
Time to compute Modified-Newton Solution: 99.0034 seconds
Time to compute Quasi-Newton Solution: 77.2395 seconds

A9P1_accelError_QN.png
A9P1_accelError_QN.png (35.65 KiB) Viewed 1580 times

A9P1_accelError_MN.png
A9P1_accelError_MN.png (35.06 KiB) Viewed 1580 times

A9P1b_iterations.png
A9P1b_iterations.png (18.37 KiB) Viewed 1580 times
<<

samuelacuna

Newbie
Newbie

Posts: 12

Joined: Wed Sep 14, 2016 11:41 pm

Unread post Thu Nov 10, 2016 12:28 am

Re: Assignment 9 - simEngine3D track

Samuel Acuna: Assignment 9 Forum Postings for simEngine3D track
(Sorry, I can't upload both problems 1 and 2 into a single post, max attachments reached)

PROBLEM 2:
Double Pendulum
For step-size h=0.01 seconds,
Time to compute Newton-Raphson Solution: 259.6613 seconds
Time to compute Modified-Newton Solution: 166.5632 seconds
Time to compute Quasi-Newton Solution: 140.3524 seconds

A9P2_accelError_QN.png
A9P2_accelError_QN.png (29.4 KiB) Viewed 1579 times

A9P2_accelError_MN.png
A9P2_accelError_MN.png (28.91 KiB) Viewed 1579 times

A9P2b_iterations.png
A9P2b_iterations.png (20.09 KiB) Viewed 1579 times
<<

michaelvignos

Newbie
Newbie

Posts: 7

Joined: Fri Sep 04, 2015 12:51 pm

Unread post Thu Nov 10, 2016 9:26 am

Re: Assignment 9 - simEngine3D track

Mike Vignos Assignment 9 Problem 1 Results:

Single Pendulum Simulation Times:
h = 0.01 s
Newton-Raphson: 56.4 s
Modified-Newton: 42.8 s
Quasi-Newton: 39.1 s

A9P1_AccelerationDiff_ModNewtonvsNewtonRaphson.png
Modified-Newton vs Newton-Raphson Acceleration Difference
A9P1_AccelerationDiff_ModNewtonvsNewtonRaphson.png (83.85 KiB) Viewed 1561 times


A9P1_AccelerationDiff_QuasiNewtonvsNewtonRaphson.png
Quasi-Newton vs Newton-Raphson Acceleration Difference
A9P1_AccelerationDiff_QuasiNewtonvsNewtonRaphson.png (85.15 KiB) Viewed 1561 times


A9P1_IterationCount.png
Number of iterations for convergence.
A9P1_IterationCount.png (38.56 KiB) Viewed 1561 times
<<

michaelvignos

Newbie
Newbie

Posts: 7

Joined: Fri Sep 04, 2015 12:51 pm

Unread post Thu Nov 10, 2016 9:45 am

Re: Assignment 9 - simEngine3D track

Mike Vignos Assignment 9 Problem 2 Results:

Double Pendulum Convergence Times:
h = 0.01 s
Newton-Raphson: 109.3 s
Modified-Newton: 79.2 s
Quasi-Newton: 68.3 s

A9P2_AccelerationDiff_ModNewtonvsNewtonRaphson.png
Modified-Newton vs Newton-Raphson Acceleration Difference
A9P2_AccelerationDiff_ModNewtonvsNewtonRaphson.png (79.54 KiB) Viewed 1561 times


A9P2_AccelerationDiff_QuasiNewtonvsNewtonRaphson.png
Quasi-Newton vs Newton-Raphson Acceleration Difference
A9P2_AccelerationDiff_QuasiNewtonvsNewtonRaphson.png (73.86 KiB) Viewed 1561 times


A9P2_IterationCount.png
Number of Iterations for Convergence
A9P2_IterationCount.png (35.53 KiB) Viewed 1561 times
<<

michaeltaylor

Newbie
Newbie

Posts: 27

Joined: Fri Sep 04, 2015 12:51 pm

Unread post Thu Nov 10, 2016 11:17 pm

Re: Assignment 9 - simEngine3D track

Problem 1:
Full Newton: 9.760813 seconds.
Modified Newton: 6.511342 seconds.
Quasi Modified Newton: 4.821551 seconds.
h = 0.01s
Attachments
HW9Prob1__NR_Iterations.png
NR iter
HW9Prob1__NR_Iterations.png (40.19 KiB) Viewed 1524 times
HW9Prob1__FullNR_minus_ModNR.png
Full NR - Modified
HW9Prob1__FullNR_minus_ModNR.png (138.42 KiB) Viewed 1524 times
HW9Prob1__FullNR_minus_QuasiNR.png
Full NR - Quasi
HW9Prob1__FullNR_minus_QuasiNR.png (145.02 KiB) Viewed 1524 times
<<

michaeltaylor

Newbie
Newbie

Posts: 27

Joined: Fri Sep 04, 2015 12:51 pm

Unread post Thu Nov 10, 2016 11:21 pm

Re: Assignment 9 - simEngine3D track

Problem 2:
Full Newton: 24.667203 seconds.
Modified Newton: 12.168798 seconds.
Quasi Modified Newton: 8.792958 seconds.
h = 0.01s
Attachments
HW9Prob2__NR_Iterations.png
NR Iter
HW9Prob2__NR_Iterations.png (45.77 KiB) Viewed 1524 times
HW9Prob2__FullNR_minus_ModNR.png
Full - Mod
HW9Prob2__FullNR_minus_ModNR.png (135.58 KiB) Viewed 1524 times
HW9Prob2__FullNR_minus_QuasiNR.png
Full - Quasi
HW9Prob2__FullNR_minus_QuasiNR.png (133.06 KiB) Viewed 1524 times
<<

danielpiombino

Newbie
Newbie

Posts: 14

Joined: Wed Sep 14, 2016 11:45 pm

Unread post Fri Nov 11, 2016 12:12 am

Re: Assignment 9 - simEngine3D track

P1: Simple Pendulum
h = 0.01 s
Newton Raphson: 111.17 s
Modified Newton: 117.47 s
Quasi Newton: 107.43 s
Attachments
HW9P1 Convergence.jpg
HW9P1 Convergence.jpg (27.05 KiB) Viewed 1521 times
HW9P1 QN v NR.jpg
HW9P1 QN v NR.jpg (24.25 KiB) Viewed 1521 times
HW9P1 MN v NR.jpg
HW9P1 MN v NR.jpg (23.62 KiB) Viewed 1521 times
<<

danielpiombino

Newbie
Newbie

Posts: 14

Joined: Wed Sep 14, 2016 11:45 pm

Unread post Fri Nov 11, 2016 12:15 am

Re: Assignment 9 - simEngine3D track

P2: Double Pendulum

h = 0.01 s
Newton Raphson: 14.55 s
Modified Newton: 13.39 s
Quasi-Newton: 13.39 s
Attachments
HW9P2 MN v NR.jpg
HW9P2 MN v NR.jpg (29.06 KiB) Viewed 1521 times
HW9P2 QN v NR.jpg
HW9P2 QN v NR.jpg (31.66 KiB) Viewed 1521 times
HW9P2 Convergence.jpg
HW9P2 Convergence.jpg (25.15 KiB) Viewed 1521 times
<<

f14-cavalcanti

Newbie
Newbie

Posts: 20

Joined: Mon Sep 08, 2014 2:08 pm

Unread post Fri Nov 11, 2016 4:21 am

Re: Assignment 9 - simEngine3D track

Single Pendulum:
Tol 10^-3;
h = 10^-2;
Full NR: 56.82s
Modified NR: 36.37s
Quasi NR: 24.07s
SP_Full_Mod.jpg
SP_Full_Mod.jpg (112.24 KiB) Viewed 1494 times

DP_Full_Mod.jpg
DP_Full_Mod.jpg (87.14 KiB) Viewed 1494 times

SP_iterations.jpg
SP_iterations.jpg (85.09 KiB) Viewed 1494 times


Double Pendulum:
Tol 10^-3;
h = 10^-2;
Full NR: 132.51s
Modified NR: 70.30s
Quasi NR: 47.61s
SP_Full_Mod.jpg
SP_Full_Mod.jpg (112.24 KiB) Viewed 1494 times

SP_Full_Quasi.jpg
SP_Full_Quasi.jpg (114.57 KiB) Viewed 1494 times
Attachments
DP_Full_Quasi.jpg
DP_Full_Quasi.jpg (76.66 KiB) Viewed 1494 times
<<

f14-cavalcanti

Newbie
Newbie

Posts: 20

Joined: Mon Sep 08, 2014 2:08 pm

Unread post Fri Nov 11, 2016 4:21 am

Re: Assignment 9 - simEngine3D track

DP_iterations.jpg
DP_iterations.jpg (96.16 KiB) Viewed 1494 times
<<

f13-759-gsubramani

Newbie
Newbie

Posts: 27

Joined: Mon Sep 09, 2013 9:12 am

Unread post Fri Nov 11, 2016 8:37 am

Re: Assignment 9 - simEngine3D track

stepsize 0.01
-Guru
Attachments
Screen Shot 2016-11-11 at 7.23.10 AM.png
Screen Shot 2016-11-11 at 7.23.10 AM.png (191.73 KiB) Viewed 1482 times
Screen Shot 2016-11-11 at 7.22.48 AM.png
Screen Shot 2016-11-11 at 7.22.48 AM.png (175.77 KiB) Viewed 1482 times
Screen Shot 2016-11-11 at 12.24.54 AM.png
Screen Shot 2016-11-11 at 12.24.54 AM.png (293.22 KiB) Viewed 1482 times
Screen Shot 2016-11-11 at 12.24.06 AM.png
Screen Shot 2016-11-11 at 12.24.06 AM.png (96.77 KiB) Viewed 1482 times

Return to ME751 Fall 2016

Who is online

Users browsing this forum: No registered users and 2 guests

cron
Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group.
Designed by ST Software.