The effects of head milling (decking, skimming) on XS650 camshaft timing and compression ratio.
Using these manual excerpts for the 1978-1979 XS650 engine:
CAMSHAFT TIMING:
The 74-83 camchain has a link pitch of 7.774mm
The cam sprocket has 36 teeth
This gives the sprocket an effective/mechanical chain link circumference of 36 * 7.774mm = 279.864mm
The cam sprocket rotates once for every 2 rotations of the crank, for a total of 720° of crank rotation.
That means that (279.864mm / 720°) = 0.3887mm of camchain travel per degree of crankshaft rotation.
Moving the head up or down, the camchain will remain taught at the front, rear slack absorbed by the tensioner.
So, moving the head 1mm is the same as moving the front camchain 1mm.
Move the head up, the camchain appears to move down relative to the cam, advancing the camshaft.
Move the head down, the camchain appears to move up relative to the cam, retarding the camshaft.
Move the head down (from milling/decking/skimming) by 0.3887mm (0.0153") will result in 1° of camshaft retardation.
COMPRESSION RATIO:
The static compression ratio is the mechanical ratio of (DisplacementVolume + CombustionChamberVolume) / CombustionChamberVolume.
I.E., a displacement of 9 and a head chamber of 1 gives a 10:1 C/R.
A simplified way is CompressionRatio = (DisplacementVolume / CombustionChamberVolume) + 1
We'll do the calculations for one cylinder in millimeters:
Bore * Bore * Pi/4 = CircularArea of one cylinder in square millimeters
CircularArea * Stroke = DisplacementVolume in cubic millimeters for that cylinder
CircularArea * SkimValue = Volume lost to the CombustionChamber from milling/decking in cubic millimeters
To get it in Cubic Centimeters, divide that mess by 1000
Example, for the Standard Bore:
Bore = 75mm
Stroke = 74mm
Pi/4 = (3.14159 / 4) = 0.7854
75 x 75 x 74 x 0.7854 = 326922, then (divided by 1000) = 326.9cc
That's DisplacementVolume for one cylinder. Multiply by 2 to get total displacement = 653.8cc
If the Mill/Deck/Skim value is 0.4mm (0.016"), the CombustionChamberVolume will be reduced by:
75 x 75 x 0.4 x 0.7854 = 1767, then (divided by 1000) = 1.767cc
The documented CombustionChamberVolume is 43.6cc.
CompressionRatio = (326.9 / 43.6) + 1 == 8.5:1
Reduce the CombustionChamberVolume by 1.767cc, now is 41.8cc.
CompressionRatio = (326.9 / 41.8) + 1 == 8.8:1
For convenience, for the stock/standard bore and unmolested head, here's a table of Mill/Deck/Skim values and expected results:
Skim.....Reduce Cmbr CompressionRatio
0.0mm 0.00cc 43.6cc 8.5:1
0.1mm 0.44cc 43.2cc 8.6:1
0.2mm 0.88cc 42.7cc 8.7:1
0.3mm 1.36cc 42.2cc 8.7:1
0.4mm 1.77cc 41.8cc 8.8:1
0.5mm 2.21cc 41.4cc 8.9:1