On behalf of Peter Williams:
Cam design
I am the designer of the PW3 camshaft for the Norton twin engine. I have read some of the contributions to the forum and hope I can add a little understanding of the workings of the valve train (valve, rocker, push-rod, follower, cam) but I should refer you to “Cam Design Handbook” by H. Rothbart for a much deeper understanding (.pdf accessible on line).
The foundation of cam design is to understand of Newton’s Laws of Motion and in particular the second one which is, in fact, intuitive. Force = Mass x Acceleration; the larger the mass or the acceleration or need, the more force you must give.
It is also a waste of time to only look at a lift curve of the valve (or cam follower) motion; you have to be able to look at the velocity curve and, most important of all, the acceleration curve. If you have the kit to measure lift for each degree of cam rotation, as seems to be the case from the graph on the forum site, there is a simple way to create the velocity curve by subtracting each lift value from the following (or preceding one) to get the velocity per degree. Do it again with the velocity values to get the acceleration per degree diagram. (This ‘difference’ method is practical mathematical differentiation.
0.026105 0.025659 0.00089
0.051764 0.024773 0.00131
0.076537 0.023463 0.00171
0.1 0.021752 0.00208
0.121753 0.019669 0.00242
0.141422 0.017249 0.00271
0.158671 0.014534 0.00296
0.173205 0.011571 0.00316
0.184776 0.008409 0.00331
0.193185 0.005104 0.00339
0.198289 0.001711
0.2
There are a number of parameters within which the designer of a cam has to work.
1/. For reasons of cost the flat faced cam follower is retained for the Norton (as opposed to a radius face)
2/. Generally speaking, the ramp is simply a “take-up” of clearance between the cam and the follower which is necessary to allow for the thermal distortion of the metals of the engine and inevitable imprecisions of manufacture. The ramp is important to mechanical noise but relatively unimportant to performance.
3/. Picture the cam and follower as the cam is about to start lifting the follower. There is a contact line of the curved surface of the cam on the flat surface of the follower. As the cam rotates the line wipes across the flat face of the follower as the cam lifts and accelerates it. The distance of the contact line from its original position on the base circle is called the eccentricity and is obviouslyrestricted by the width of the follower, and more explicably, by the cylindrical radius of the Norton follower, but maximum velocity of the follower and valve, etc is at the maximum eccentricity.
4/. The first proper phase of valve movement is the acceleration imparted by the cam. The timing (i.e. the crank angle when lift begins) is crucial to the filling of the cylinder with new air assisted by the gas dynamics during the closing of the exhaust (valve overlap) and so is the cam angle during which acceleration occurs.
5/. The Norton twin has push-rods and rockers. These not only have mass which adds to the forces and stresses involved in accelerating them but the stresses cause strain. When I calculated the force involved at top engine rpm and then statically applied the force statically to the valve train, I measured about 0.010 inch deflection. This means that the valve train is like a spring. So when the force is removed the valve train returns to its relaxed original shape. This does not mean the valve is bouncing and out of control, but it could be if the acceleration is too great (or to use the seemingly in vogue word ‘aggressive’).
This is why I kept the acceleration as low as possible and much lower than on the Norton ‘S’ series which I designed in John Player Norton racing days. The result is the valve staying in control at much higher engine speed than in those days. The highest I ever revved the JPN in the ‘70s was 7500rpm - in anger. The PW3 allows 8000rpm before ‘going over the top’ of power when the valves start to bounce (watched on the dynamometer with a stroboscope). I believe it to be pointless to run the Norton engine any faster than 8000rpm when I has run out of power and breakage is risked. There is more controllable torque and power available in a higher gear. That’s what I did, anyway…
6/. After maximum velocity is reached the valve train is under as much control of the valve spring as by the cam. The spring has to decelerate and stop the valve at full lift before pulling the rest of the valve train and the valve back towards the seat. However, the cam profile during this phase on the PW3 is dictated by a mathematical sin curve suited to the springs available twenty-five years ago. At maximum velocity the cam takes over control to lower the valve back on its seat. The PW3 is unsophisticated in this respect having symmetrical opening and closing flanks.
The duration of crank angle over which the valve is open is also dictated by the cam and the duration given by the PW3 is quite short in order for the valve to close as early as possible. This gives good compression of the new charge of air and fuel which results in the very good engine torque which was not as good in my racing days.
A properly designed, modern cam profile is designed mathematically and made by CAD/CAM without the use of ‘masters’ which went out of use thirty years ago. The cam profiles on the PW3 camshaft were designed mathematically and the cams are chilled cast iron as used by the automotive industry where ever translating flat faced followers are used. It seem to work quite well and I think can only be bettered by a new cam profile paired with radius surface followers, which will cost much more.
Peter Williams
In the original you find three graphs I could not copy into this, see
http://www.andover-norton.co.uk/PW3%20Cam%20Design.pdf
Joe Seifert/Andover Norton