|
|
|||||||
| Technical Articles Learn from our staff of Technical Writers! |
![]() |
|
|
LinkBack | Thread Tools | Display Modes |
|
|||
|
Greetings Stan,
Would you please check the software code - the graphs show a reversal of piston velocity near BDC for rods shorter than 7.00". This ought only to occur when the rod length is less than the stroke/2 (a physical impossibility, btw.) Best, Mark |
|
|||
|
Greetings,
I noodled around with some trigonometry and got the following, FYI: 1.) Piston displacement down bore = l +(s/2)*(1-cos(theta))-(L^2-(s^2/4)*sin^2(theta))^1/2 2.) Magnitude of second derivative of displacement with repect to theta, which at any given engine speed, is directly proportional to magnitude of piston acceleration: Case a.) theta = 0 (TDC) =(s^2+2*s*L)/(4*L) Case b.) theta = 2pi (BDC) =(s^2-2*s*L)/(4*L) Forming a ratio of these two accelerations is especially interesting: Accel TDC/Accel BDC = |(s^2+2*s*l)/(s^2-2*s*l)| Where: s = stroke theta = crankshaft angular position L = rod length Example: for S =3.75" and L = 5.7375", get: Accel TDC/Accel BDC = 1.97 As L approaches infinity, the above ratio approaches one, of course, and the displacement approaches a pure sinusoid. Greetings Stan: confirmed - the graphs are definitely wrong - please check. Thanks, Mark |
|
|||
|
Quote:
Thanks again for writting the article it has helped alot. John Ebke |
|
||||
|
Quote:
That graph was only acceleration. This one has both acceleration and velocity. Stan ![]()
__________________
Stan Weiss / World Wide Enterprises Offering Performance Software Since 1987 http://users.erols.com/srweiss/index.html |
|
||||
|
Piston Piston
Code:
Bore = 4.0 Stroke = 3.75 Rod Length = 5.7375 RPM = 6500 Wrist Pin Offset = 0.0 Rotation Time of crank per degree in Milliseconds 0.0256410 Rotation Time of crank per rev in Milliseconds 9.2307692 Crankshaft rev's per Second 108.3333333 Crankshaft Degrees at which Rod and Crank are 90 Degrees 71.9027 Crank Piston Crank Rod Cylinder Cylinder Angle Travel Rod Bore Volume Volume Degree Inches Angle Angle CI cc -ATDC .0000 .000000 180.00000 0.00000 0.00000 0.00000 2.5000 .002368 176.68324 0.81676 0.02975 0.48754 5.0000 .009463 173.36787 1.63213 0.11891 1.94861 7.5000 .021263 170.05527 2.44473 0.26720 4.37859 10.0000 .037731 166.74684 3.25316 0.47414 7.76983 12.5000 .058815 163.44397 4.05603 0.73910 12.11160 15.0000 .084449 160.14805 4.85195 1.06122 17.39023 17.5000 .114551 156.86045 5.63955 1.43949 23.58909 20.0000 .149028 153.58257 6.41743 1.87274 30.68868 22.5000 .187770 150.31578 7.18422 2.35959 38.66669 25.0000 .230656 147.06147 7.93853 2.89851 47.49813 27.5000 .277553 143.82102 8.67898 3.48783 57.15537 30.0000 .328314 140.59578 9.40422 4.12571 67.60830 32.5000 .382780 137.38712 10.11288 4.81016 78.82442 35.0000 .440785 134.19639 10.80361 5.53906 90.76898 37.5000 .502147 131.02492 11.47508 6.31017 103.40517 40.0000 .566681 127.87405 12.12595 7.12112 116.69421 42.5000 .634187 124.74508 12.75492 7.96943 130.59556 45.0000 .704463 121.63930 13.36070 8.85254 145.06709 47.5000 .777295 118.55796 13.94204 9.76778 160.06529 50.0000 .852469 115.50229 14.49771 10.71244 175.54541 52.5000 .929760 112.47350 15.02650 11.68371 191.46175 55.0000 1.008944 109.47274 15.52726 12.67877 207.76782 57.5000 1.089793 106.50115 15.99885 13.69474 224.41655 60.0000 1.172075 103.55978 16.44022 14.72872 241.36055 62.5000 1.255560 100.64966 16.85034 15.77783 258.55233 65.0000 1.340018 97.77175 17.22825 16.83917 275.94451 67.5000 1.425222 94.92696 17.57304 17.90986 293.49005 70.0000 1.510944 92.11611 17.88389 18.98708 311.14249 72.5000 1.596963 89.33997 18.16003 20.06803 328.85614 75.0000 1.683063 86.59922 18.40078 21.14999 346.58629 77.5000 1.769032 83.89446 18.60554 22.23031 364.28944 80.0000 1.854664 81.22621 18.77379 23.30640 381.92344 82.5000 1.939764 78.59490 18.90510 24.37579 399.44769 85.0000 2.024142 76.00087 18.99913 25.43612 416.82327 87.5000 2.107618 73.44435 19.05565 26.48510 434.01310 90.0000 2.190021 70.92550 19.07450 27.52061 450.98204 92.5000 2.271190 68.44435 19.05565 28.54062 467.69696 95.0000 2.350976 66.00087 18.99913 29.54323 484.12687 97.5000 2.429237 63.59490 18.90510 30.52670 500.24291 100.0000 2.505845 61.22621 18.77379 31.48938 516.01842 102.5000 2.580680 58.89446 18.60554 32.42978 531.42892 105.0000 2.653634 56.59922 18.40078 33.34655 546.45210 107.5000 2.724610 54.33997 18.16003 34.23846 561.06783 110.0000 2.793519 52.11611 17.88389 35.10440 575.25804 112.5000 2.860284 49.92696 17.57304 35.94339 589.00670 115.0000 2.924837 47.77175 17.22825 36.75458 602.29971 117.5000 2.987117 45.64966 16.85034 37.53722 615.12486 120.0000 3.047075 43.55978 16.44022 38.29067 627.47165 122.5000 3.104666 41.50115 15.99885 39.01439 639.33123 125.0000 3.159856 39.47274 15.52726 39.70792 650.69627 127.5000 3.212616 37.47350 15.02650 40.37092 661.56084 130.0000 3.262922 35.50229 14.49771 41.00309 671.92027 132.5000 3.310759 33.55796 13.94204 41.60422 681.77104 135.0000 3.356113 31.63930 13.36070 42.17416 691.11065 137.5000 3.398977 29.74508 12.75492 42.71281 699.93749 140.0000 3.439347 27.87405 12.12595 43.22011 708.25074 142.5000 3.477222 26.02492 11.47508 43.69607 716.05023 145.0000 3.512605 24.19639 10.80361 44.14069 723.33638 147.5000 3.545498 22.38712 10.11288 44.55405 730.11001 150.0000 3.575909 20.59578 9.40422 44.93620 736.37234 152.5000 3.603844 18.82102 8.67898 45.28724 742.12483 155.0000 3.629311 17.06147 7.93853 45.60726 747.36912 157.5000 3.652318 15.31578 7.18422 45.89638 752.10698 160.0000 3.672875 13.58257 6.41743 46.15471 756.34018 162.5000 3.690990 11.86045 5.63955 46.38235 760.07049 165.0000 3.706671 10.14805 4.85195 46.57940 763.29960 167.5000 3.719925 8.44397 4.05603 46.74596 766.02905 170.0000 3.730760 6.74684 3.25316 46.88212 768.26024 172.5000 3.739181 5.05527 2.44473 46.98794 769.99433 175.0000 3.745193 3.36787 1.63213 47.06348 771.23227 177.5000 3.748798 1.68324 0.81676 47.10879 771.97475 180.0000 3.750000 0.00000 0.00000 47.12389 772.22220
__________________
Stan Weiss / World Wide Enterprises Offering Performance Software Since 1987 http://users.erols.com/srweiss/index.html |
![]() |
| Bookmarks |
| Thread Tools | |
| Display Modes | |
|
|