Polyfit not working right

Hello everyone!

So, Ive been working on a code that will allow me to seperate five cycles of stress and strain (Mechanics of materials). There a five cycles of loading and unloading. My code is as follows;

g=0;

Cycle1UpStop=1;

A=[5 5];

h=0;

while (A(1,1)>0) & (h<0.3)

      h = AverageStrain(1+g:60+g,:);

      i = AverageStress(1+g:60+g,:);

      A = polyfit(h,i,1);

      Cycle1UpStop = g+30;

      g = g+60;

end
Cycle1UpStrain=AverageStrain(1:Cycle1UpStop,1);

Cycle1UpStress=AverageStress(1:Cycle1UpStop,1);

plot (Cycle1UpStrain, Cycle1UpStress);

The problem I'm having is that the last result in the polyfit SHOULD have the first value as a 0 or negative, to represent the slope, right? Well, every time I run the program, the coefficient of A on the first column where the slope should be usually turns out something ridiculous like 571. Positive and far from zero...

On the same note, my graph seem to cut off somewhat close to where the slope is indeed zero, but still somewhat positive. I've tried changing the amount of points it takes in order to fit a straight line to it.

Edit:

AverageStress and AverageStrain are variable of 1785x1 matrix. I use them as my X and Y data if I want to plot all five cycles.

Attached is the resulting plots I get (the code given is my attempt for the FIRST TWO PLOTS). I want the cycle to end AT THE TIP indicated in the red circle. (or very close to it)

Thanks for your time and aid!

Neil

[John D'Errico]

But unless you give us the stress and strain vectors, we can't help you, since we don't know if you are taking the correct values.

Actually I am quite sure that polyfit IS working right, but if you pass it data that has not the meaning you think it does, then it will give you answers you don't expect. Garbage in, yada yada yada...

PLOT YOUR DATA!!!!!!!!

[Neil]

Alright, the stress and strain vectors are as follows;

Average Stress: 0.155555555555556 0.199753086419753 0.171790123456790 0.207592592592593 0.182777777777778 0.180493827160494 0.205740740740741 0.203827160493827 0.229814814814815 0.194753086419753 0.198518518518518 0.199320987654321 0.209814814814815 0.220432098765432 0.220802469135802 0.220802469135802 0.212530864197531 0.308950617283951 0.284444444444444 0.292716049382716 0.283641975308642 0.339814814814815 0.388765432098765 0.446049382716049 0.441913580246914 0.506790123456790 0.518086419753086 0.577962962962963 0.705308641975309 0.773888888888889 0.867716049382716 0.966790123456790 1.08623456790123 1.26067901234568 1.44555555555556 1.63179012345679 1.87055555555556 2.11845679012346 2.49907407407407 2.88641975308642 3.28648148148148 3.70771604938272 4.13907407407407 4.69253086419753 5.28746913580247 5.80740740740741 6.44530864197531 7.12493827160494 7.75814814814815 8.50351851851852 9.22796296296296 10.0082098765432 10.7949382716049 11.6629629629630 12.4662345679012 13.3644444444444 14.2972839506173 15.0990740740741 16.2297530864198 17.1912345679012 18.3353703703704 19.2532098765432 20.4889506172840 21.5390123456790 22.8052469135803 23.8474691358025 25.1569753086420 26.4493209876543 27.7766666666667 29.0071604938272 30.1698148148148 31.5630864197531 33.0132098765432 34.3982098765432 35.8596913580247 37.2185802469136 38.7588271604938 40.3027160493827 41.7074074074074 43.2923456790123 44.7620987654321 46.3524691358025 47.8097530864198 49.4106172839506 50.9915432098765 52.5964814814815 54.1604938271605 55.7891358024691 57.3422222222222 59.0104320987654 60.5815432098765 62.1922222222222 63.7560493827161 65.3995061728395 67.0580246913580 68.3182098765432 69.9594444444444 71.6948765432099 73.2982716049383 74.9568518518518 76.5538271604938 78.1875308641975 79.8109876543210 81.4333333333333 82.9675308641975 84.5856172839506 86.0531481481482 87.5813580246914 89.1252469135802 90.7008641975309 92.0681481481481 93.6087654320988 94.9224691358025 96.3356790123457 97.7791358024691 99.2793209876543 100.697469135802 101.995740740741 103.350617283951 104.610864197531 105.903888888889 107.132160493827 108.399567901235 109.579629629630 110.797716049383 111.797160493827 112.957222222222 114.027345679012 115.224629629630 116.232098765432 117.254197530864 118.185185185185 119.153827160494 119.571604938272 119.576481481481 120.662345679012 121.698827160494 122.651234567901 123.596913580247 124.420185185185 125.056851851852 125.588456790123 126.128827160494 126.583518518519 127.097407407407 127.470370370370 127.814074074074 128.044567901235 128.212654320988 128.461728395062 128.873888888889 129.244938271605 129.522283950617 129.415617283951 127.536666666667 122.910555555556 118.956790123457 115.571234567901 112.365370370370 109.425123456790 106.505987654321 103.716851851852 100.919382716049 98.2195061728395 95.5098765432099 92.8506172839506 90.2475925925926 87.7497530864197 85.1806172839506 82.6977160493827 80.2306790123457 77.8326543209876 75.5494444444445 73.2550000000000 70.9334567901235 68.6351234567901 66.3482098765432 64.1987654320988 62.0082716049383 59.9075925925926 57.7678395061728 55.6915432098765 53.6435185185185 51.6711728395062 49.7014814814815 47.7645679012346 45.8332716049383 43.9720987654321 42.1255555555556 40.3533333333333 38.4732098765432 36.7653703703704 35.0759259259259 33.3964197530864 31.6761111111111 30.0696296296296 28.5667283950617 27.0754938271605 25.6309876543210 24.1273456790123 22.7382098765432 21.3483333333333 20.0805555555556 18.7566049382716 17.5645061728395 16.3446296296296 15.2143209876543 14.0697530864198 13.0367283950617 12.0091975308642 11.0798148148148 10.2993827160494 9.40308641975309 8.53172839506173 7.76919753086420 7.03864197530864 6.29611111111111 5.59598765432099 5.09074074074074 4.47814814814815 3.98759259259259 3.48049382716049 3.00086419753086 2.64179012345679 2.30722222222222 1.98777777777778 1.73530864197531 1.46456790123457 1.24401234567901 1.09672839506173 0.877839506172840 0.767469135802469 0.655555555555556 0.561728395061728 0.454814814814815 0.414382716049383 0.318086419753086 0.295370370370370 0.265246913580247 0.228333333333333 0.225617283950617 0.175555555555556 0.159382716049383 0.159382716049383 0.175123456790123 0.141234567901235 0.126975308641975 0.142839506172840 0.154135802469136 0.131481481481481 0.161975308641975 0.120185185185185 0.134074074074074 0.127345679012346 0.146975308641975 0.117222222222222 0.135246913580247 0.120617283950617 0.159382716049383 0.126604938271605 0.161666666666667 0.154506172839506 0.146172839506173 0.141234567901235 0.148827160493827 0.150370370370370 0.138641975308642 0.149938271604938 0.131481481481481 0.114938271604938 0.140185185185185 0.166913580246914 0.151481481481481 0.157407407407407 0.124753086419753 0.142037037037037 0.0832716049382716 0.119382716049383 0.144691358024691 0.165061728395062 0.161358024691358 0.136728395061728 0.148888888888889 0.149567901234568 0.172592592592593 0.128086419753086 0.139074074074074 0.140864197530864 0.144691358024691 0.155185185185185 0.134135802469136 0.0915432098765432 0.113765432098765 0.0908024691358025 0.168765432098765 0.119444444444444 0.106234567901235 0.148086419753086 0.117592592592593 0.164259259259259 0.173641975308642 0.151111111111111 0.155185185185185 0.126172839506173 0.149197530864198 0.100246913580247 0.112654320987654 0.140493827160494 0.203456790123457 0.169567901234568 0.151111111111111 0.111543209876543 0.169506172839506 0.219320987654321 0.185370370370370 0.0975925925925926 0.158209876543210 0.151049382716049 0.187222222222222 0.106604938271605 0.182777777777778 0.141234567901235 0.154814814814815 0.150000000000000 0.118333333333333 0.169197530864198 0.149938271604938 0.181604938271605 0.158209876543210 0.179753086419753 0.152962962962963 0.156296296296296 0.151049382716049 0.184629629629630 0.175617283950617 0.183086419753086 0.168827160493827 0.211728395061728 0.150000000000000 0.191049382716049 0.177839506172839 0.204938271604938 0.160864197530864 0.160802469135802 0.162407407407407 0.153333333333333 0.181975308641975 0.190308641975309 0.239629629629630 0.136049382716049 0.162716049382716 0.169938271604938 0.185679012345679 0.199753086419753 0.205000000000000 0.143888888888889 0.229814814814815 0.176728395061728 0.243765432098765 0.204197530864198 0.179753086419753 0.261790123456790 0.188333333333333 0.236913580246914 0.230308641975309 0.262962962962963 0.245679012345679 0.294629629629630 0.325185185185185 0.342839506172840 0.326666666666667 0.463827160493827 0.460061728395062 0.524074074074074 0.589197530864198 0.652962962962963 0.789753086419753 0.969814814814815 1.10314814814815 1.24592592592593 1.46820987654321 1.74740740740741 1.99722222222222 2.38487654320988 2.76962962962963 3.12635802469136 3.68098765432099 4.24382716049383 4.83302469135802 5.53981481481481 6.23506172839506 7.05783950617284 7.88104938271605 8.83728395061728 9.79043209876543 10.7882098765432 11.8430246913580 13.0151851851852 14.1828395061728 15.2972222222222 16.7168518518519 17.9405555555556 19.3138888888889 20.5985802469136 22.1421604938272 23.5602469135802 25.0100617283951 26.4587037037037 28.0135802469136 29.6332716049383 31.1987037037037 32.7853703703704 34.5311728395062 36.1377160493827 37.7547530864198 39.4542592592593 41.2307407407407 42.9446296296296 44.7030246913580 46.4496913580247 48.1880246913580 50.0141358024691 51.7823456790123 53.7741975308642 55.5081481481481 57.3191358024691 59.0674074074074 60.9451234567901 62.7859876543210 64.6046296296296 66.4435802469136 68.3058641975309 70.0593827160494 71.9216666666667 73.7485185185185 75.5408024691358 77.3710493827161 79.2232716049383 80.9857407407407 82.8220987654321 84.5893827160494 86.3624074074074 88.0921604938272 89.7232098765432 91.0508641975309 92.8676543209876 94.5117901234568 96.2538888888889 97.9264197530864 99.5536419753086 101.070802469136 102.658148148148 104.097654320988 105.529814814815 106.551543209877 107.846419753086 109.058950617284 110.272098765432 111.350000000000 112.497592592593 113.593209876543 114.796172839506 115.717777777778 116.523271604938 117.364629629630 118.096234567901 118.865987654321 119.473703703704 120.066728395062 120.378641975309 120.841728395062 121.278333333333 121.714691358025 122.025493827160 122.481419753086 122.728086419753 122.944814814815 123.026975308642 123.078148148148 122.852098765432 119.406604938272 115.140493827160 111.389567901235 108.069506172840 105.063765432099 102.330370370370 99.6519135802469 97.1555555555556 94.5961728395062 92.1577777777778 89.6629012345679 87.3545679012346 84.9635802469136 82.7191975308642 80.4428395061728 78.1946913580247 76.0214814814815 73.8955555555556 71.6368518518518 69.4972839506173 67.4619135802469 65.4048765432099 63.4430246913580 61.4473456790123 59.4753703703704 57.5644444444444 55.6983333333333 53.8217283950617 52.0553703703704 50.1822222222222 48.4524074074074 46.6659259259259 44.9471604938272 43.2216049382716 41.5890123456790 39.9094444444444 38.3195061728395 36.6572839506173 35.1735802469136 33.5862962962963 32.1538271604938 30.7387654320988 29.2151234567901 27.7506172839506 26.3418518518519 24.9623456790123 23.6738271604938 22.3362345679012 21.0883333333333 19.8809259259259 18.7061111111111 17.5227777777778 16.4335185185185 15.3315432098765 14.3104938271605 13.3037654320988 12.3316666666667 11.3853086419753 10.5217901234568 9.72111111111111 8.95185185185185 8.20358024691358 7.45382716049383 6.80987654320988 6.18641975308642 5.52635802469136 4.98302469135802 4.45370370370370 3.92660493827160 3.52722222222222 3.07962962962963 2.69462962962963 2.37925925925926 2.07746913580247 1.84345679012346 1.55524691358025 1.35141975308642 1.19277777777778 1.02185185185185 0.897530864197531 0.751666666666667 0.671790123456790 0.611913580246914 0.489444444444444 0.466049382716049 0.405432098765432 0.347716049382716 0.292345679012346 0.311913580246914 0.235555555555556 0.230987654320988 0.248333333333333 0.181172839506173 0.174074074074074 0.218209876543210 0.152654320987654 0.141604938271605 0.117962962962963 0.136358024691358 0.122777777777778 0.117901234567901 0.160432098765432 0.119814814814815 0.120925925925926 0.158271604938272 0.106234567901235 0.172592592592593 0.147345679012346 0.146913580246914 0.115617283950617 0.147407407407407 0.145061728395062 0.140925925925926 0.173703703703704 0.135679012345679 0.130000000000000 0.129506172839506 0.114135802469136 0.171419753086420 0.188395061728395 0.141728395061728 0.133395061728395 0.160493827160494 0.191790123456790 0.139753086419753 0.172901234567901 0.161975308641975 0.114938271604938 0.170246913580247 0.122777777777778 0.141296296296296 0.182345679012346 0.163086419753086 0.136790123456790 0.164259259259259 0.142777777777778 0.144691358024691 0.179753086419753 0.160555555555556 0.155617283950617 0.207160493827160 0.133395061728395 0.143950617283951 0.123148148148148 0.134876543209877 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0.152962962962963 0.181913580246914 0.187222222222222 0.192530864197531 0.201913580246914 0.250925925925926 0.192530864197531 0.200864197530864 0.161666666666667 0.221481481481481 0.155555555555556 0.180432098765432 0.204629629629630 0.160432098765432 0.203518518518519 0.161234567901235 0.194012345679012 0.187283950617284 0.147283950617284 0.178641975308642 0.226419753086420 0.185802469135802 0.213641975308642 0.167283950617284 0.192592592592593 0.235370370370370 0.216234567901235 0.161975308641975 0.210925925925926 0.182654320987654 0.232839506172840 0.213950617283951 0.187283950617284 0.216234567901235 0.177839506172840 0.224197530864198 0.259938271604938 0.202654320987654 0.236172839506173 0.243395061728395 0.243765432098765 0.356419753086420 0.291604938271605 0.331172839506173 0.340493827160494 0.363950617283951 0.447592592592593 0.445679012345679 0.452901234567901 0.556111111111111 0.629197530864198 0.645370370370370 0.723395061728395 0.876419753086420 0.928765432098765 1.05604938271605 1.27043209876543 1.40944444444444 1.66191358024691 1.90709876543210 2.18938271604938 2.56006172839506 2.89993827160494 3.37580246913580 3.86518518518518 4.41259259259259 4.99320987654321 5.67061728395062 6.37932098765432 7.16141975308642 8.02987654320988 8.91296296296296 9.76265432098765 10.8212962962963 11.8377777777778 12.9612962962963 13.9442592592593 15.1106790123457 16.2432716049383 17.4824074074074 18.7555555555556 20.0956790123457 21.4172839506173 22.7118518518519 24.0482098765432 25.3748148148148 26.9617283950617 28.3323456790123 29.7674074074074 31.2059876543210 32.8795061728395 34.2538888888889 35.8751234567901 37.3637037037037 38.9396913580247 40.4715432098765 42.0720370370370 43.6345679012346 45.2368518518519 46.8633333333333 48.4898148148148 50.0842592592593 51.7024074074074 53.3115432098765 55.0374691358025 56.6304320987654 58.2920370370370 59.9433333333333 61.6319753086420 63.2384567901235 64.6400617283951 66.3591975308642 68.1144444444444 69.7572222222222 71.4450000000000 73.0451851851852 74.7601234567901 76.3948765432099 78.0236419753086 79.6496913580247 81.2883333333333 82.8774074074074 84.5423456790124 86.1006790123457 87.8763580246914 89.4096913580247 90.9382716049383 92.5168518518518 93.9674074074074 95.5106172839506 96.9034567901234 98.3739506172839 99.7483950617284 101.146296296296 102.392469135802 103.643271604938 104.736358024691 105.756234567901 106.640432098765 107.533827160494 108.285864197531 109.124753086420 109.903580246914 110.464567901235 110.860925925926 111.476604938272 112.027407407407 112.526234567901 112.617777777778 111.073765432099 107.520246913580 104.142530864198 101.223086419753 98.4229012345679 95.8074691358025 93.2948765432099 90.8711728395062 88.4644444444444 86.2031481481481 83.8724691358025 81.6285185185185 79.4259259259259 77.2750000000000 75.0886419753087 73.0247530864197 70.9597530864197 68.9637654320988 66.9408024691358 65.0174691358025 63.0735185185185 61.1779012345679 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0.236436363636364 0.23

Answer 1

[Star Strider]

The vector logic for ‘h < 0.3’ as written will fail, and will never evaluate to true.

Example:

h = rand(1,25)              % Generate ‘h’
logic = h < 0.3             % Logical vector showing ‘1’ for values: h < 0.3
if h < 0.3                  % If true then say so
    disp('TRUE!')
end

The ‘if’ condition is never satisfied, and the message never prints.

However, with one change (add ‘any’) to the condition in the if block:

h = rand(1,25)              % Generate ‘h’
logic = h < 0.3             % Logical vector showing ‘1’ for values: h < 0.3
if any(h < 0.3)             % If any are true then say so
    disp('TRUE!')
end

produces:

TRUE!

[Neil]

Ouch, that was dumb of me. Thanks!

[Star Strider]

My pleasure!

Not dumb at all. That’s how we learn. Many of the Questions I see here I’ve written, diagnosed, and fixed in my own code over the years, so it’s relatively easy for me to see the problems and recommend ways to fix them in my Answers.

Answer 2

[John D'Errico]

Oh, THAT data. LOL.

The plots help, I think. To me though, it looks like those plots have an increasing slope, at least as I remember the definition of slope. Are you looking for the part of the curve where things reverse? If this is so, and you think the slope is negative there, you would be wrong. It is still positive as a slope.

Next, I think you misunderstand how tests work in MATLAB. g and h are VECTORS as you create them. The fragment

(g<1785) & (A(1,1)>0) & (h<0.3)

where g and h are vectors, creates a boolean vector. The while functionality wants to see a scalar. So perhaps you want the first element of that to be true, or ALL elements.

[Neil]

My apologies, the g<1785 should not be there. That begin said, it still gives the same stuff. See updated plot and code.

And yes, I would like h to be scalar.