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- Jul 8, 2011
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Tintin said:Dances with Shrapnel said:As far as moving as much mass to the outside cheeks, this is a flawed approach and I would tell anybody not to do this to a Norton crankshaft unless you are looking to optimize it for use as a boat anchor.
I would agree to a certain extent if it wasn't for the bunch of bolts in the middle of that particular crankshaft.
I don't know if I can explain in detail the concept of bending moment adequately on this forum; this is engineering statics and dynamics. Forces that induce moments are calculated as one goes down one end of the crankshaft ceneterline. Pick a particular RPM (say 7,500) and for TDC, BDC, 90 and 270 degrees one can calculate the forces due to the dynamics of the crankshaft connecting rod(s) and piston(s) system. The crankshaft is only constrained at two points which are the main bearings. As an example, at TDC you have the forces attributed to the pistons and connecting rods deaccelerating partially balanced by the centripetal forces generated from the imbalance (by design) in the bob weights. If all of your out of balance mass were concentrated outboard by the bearings you still have the two con rods (inboard) trying to bend the sh*t out of the crankshaft. By placing some of the bob weight between the two connecting rods you now have a centripetal force reducing the bending moment. So look at this as a snap shot and then do the same analysis for 90/270 degrees and at BDC which has a different rod/piston deacceleration profile. The crankshaft is in different bending conditions at TDC, BDC, and 90/270 degrees. When considering durability of materials, fatigue is a fuction of the the number of changes in stress and the magnitude of the changes in stress. So by minimizing the magnitude of the load reversals (changes) due to the dynamic forces of imbalance you extend the service life of the part.
I would perfectly agree with that statement if there was a middle bearing and no bunch of bolts.
The reason why I would like to do said non-linear dynamic FEA is that I have done my share of hand calcs on this kind of stuff - and based on my experience from working with some really good FEA and MBS specialist on cranktrains all I can say is that a simple FBD is flawed to some extent that the necessary abstraction level is quite high in comparison. We have e.g. run cranktrains covered with strain gauges everywhere and the reality behind the models is so complex that IMHO too many details are dropped on the path to your FBD. For BDC I agree with you that the mass distribution with similar portions of the bob weight either side would help the crank - for TDC it heavily depends how the roughly 50kN of gas forces are fed into the system - and that occurs either side. For 90/270 degree 100% of the bob weights outboard and a Laval rotor in the middle would be the best solution in terms of bending moment.
In terms of just the bending moment the whole system is flawed due to the absence of the middle bearing and either way you shoot yourself in the foot IMHO - you just have to decide which foot. In terms of vibration the weak rotor might actually help but without a proper analysis this is just a gut feeling as I said.
Tim
Any engine design is a matter of compromise (call it shooting yourself in one foot or the other but please spare me the drama). You refer to computer modeling yet the analysis of imbalance in rotating machinery (and resulting forces) is not rocket science and has been evolving and going on in depth for well over of century.
This from wikipedia: "The quality of predictions from a computer codes has more to do with the soundness of the basic model and the physical insight of the analyst. ... Superior algorithms or computer codes will not cure bad models or a lack of engineering judgment."
Oh, there it is, "physical insight" and "engineering judgement". Norton (as well as Triumph, BSA and probably a whole slew of period parallel twin manufactures) had the opportunity to try and implement engines with bob weights all outboard and having flywheel mass all outboard.............but they did not. That is my first clue. The FBD bending moment analysis I referred to is from "first principles" of engineering analysis. If one has difficulty with this then one must really pucker up when crossing a bridge or driving a vintage bike or flying in an older aircraft. Read about the development of the SR 71 (Blackbird) and when it was developed and how (that was a slide rule era, not a super computer FEA/FDA era.
To allude to a FBD analysis as bogus or fataly flawed because a FEA was not conducted is something like throwing the baby out with the bath water. Furthermore, as quoted above (and from my professinal experience in numerical modeling) the insight must be there through engineering understanding and judgement before one can get anything close to meaningful results from a model.
As for bolt together crankshafts, the Norton flange bolt is rather eloquent for the application and I have never heard of a properly assembled Norton twin crankshaft failing in or around the flanges. All the failures I have expereinced and others that I know have experienced are failed cast iron flywheel, failure starting at the drive side main bearing filet, failure starting on the drive side rod journal filet or failure starting at the drive side oil hole to the journal. There may be others but I have seen enough of these to see a pattern.
If you feel the FBD analysis is flawed, so be it but it is closer to a working analog (a real live Norton engine); I do not see a preponderance of evidence that a parrallel twin would be better off with an outboard flywheel and all or most outboard bob weights. Maybe the world has missed something over the last 100 years or more.
I have gone to several reputable crankshaft fabricators and none of them have come up with the suggestions of moving most of the flywheel and bob weight mass outboard; they easily could have but did not. Are they missing something?
Have a read of Fayette Taylor (2 volume set) on IC engines, he has excellent sections on crankshaft design, balance and vibration. Much was pulled from WWII efforts of Germany. Makes for neat and enlightening reading.
Cheers