Nice pic of the busted 998 crank. Interesting that it broke in the same place as 1275 big journal cranks and 1100 cranks.
Now I will run this by you and we will watch the fur fly.
OK torsional vibration has 2 main factors[irrespective of how well a crank is centripetally balanced]
The 1st factor is the peak pressure IE the force on the piston at ignition.
The 2nd factor in a 4 cylinder engine with a firing order of 1,3,4,2 is the force applied to the crank by the 2 only loads during a 4 stroke cycle. Firing and compression.
Now 1 has just fired and 3 is compressing mixture so there is a imbalance between the 2 cylinders IE one being forced down[firing] and the other has a force also downwards due to compression. This situation creates the highest T/V is a engine so the crank twists between 3 and 1 and the vibration is transmitted to the damper end.
Next is 3 firing and 4 compressing. Same forces but the 2 cylinders are close together and the crank does not twist as much . The vibration travels to the damper and there is not forces with 1&2 so little amount of twisting of the crank in that section.
Next is 4 firing and 2 compressing and again twist over longer distance.
Next is 2 firing and 1 compressing and same loads ,but this sequence is the killer.
Now the crank is supported by the main bearings and there is little crankshaft deflection[bending not twisting] close to the bearings. Evertime the force is applied as the crank twists it is trying to drive the flywheel, but due to the mass of the flywheel the crank twist travels to the end of least resistance. The damper end.
In the situation with 2 firing and 1 compressing the crank between front bearing a center bearing is twisting against to mass of the flywheel and with twist and re-bound over short distance and at the end of the crank with least resistance.
Hence the stresspoint is on the web adjacent to the center main on the damper side. The load side of the webs starts with surface stress cracks that eventually cause the crank to break at that point. The stress crack is a 90deg to the centerline of the crank.
OK it's a clear as mud, but I will post some info from one of my text books that explains it a bit better.
This is what is happening to the crank. Note the comments about the metal particals.
This is the stress the shaft is subjected to and highlights the energy that is tored in the shaft and as the initial load deminishes the sored energy then re-bounds the shaft. This is what causes the "vibrations" in the shaft. Torsional is the force and and the re-bounds are the vibration and the number of times it occurs for a period of time is the frequency.

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