
Originally Posted by
Fooman
Ouch, cannae let this one slide...
Steel, as a material is stiffer than alloy, by approximately 3 times. But because alloy is ~ 1/3 the density, you can have 3 times the material for a frame of the same weight, which can increase the overall rigidity.
Essentially rigidity = (some constant) * E (modulus of elasticity) times I (second moment of area of section resisting the bending force)
E for steel is ~ 210 GPa, E for Alloy is ~75 GPa
I is the area moment of inertia, and is a function of the distance perpendicular from from the centroid of the section cubed and/or the distance parallel to the centroid - a rod twice the diameter has 16 times the stiffness.
The problem with alloy frames is not really stiffness, but damping, and susceptibility to fatigue cracking. Alloy doesn't have the same inherent damping characteristics as steel, hence:
so, an underdamped alloy frame will vibrate at a higher amplitude and for longer than a steel frame (given the same input load). The vibration (repeated displacement) is translated into a repeated (cyclic) stress by the elastic stiffness (E) of the material.
Steels will not fail in fatigue if the cyclic stress is below a certain level. This level is affected by a number of factors - surface finish, stress ratio, material condition, but it is always there. So if the vibrations are low enough, the steel will not fatigue.
Alloy on the other hand, will always suffer from fatigue, regardless of the stress level - the lower the stress, the longer it it last, but it will always fail.
So, having an alloy frame for a big vibey single is not ideal - the material characteristics of the frame means that the vibrations will be bigger, and the frame/mounts will eventually crack. This is generally not a problem in production bikes, as engines would be balanced, rubber mounted, and the frames would (should) be designed to last a few billion engine revolutions.
Glenn's suggestion of a sub-frame is a good one - but mount the single with rubber mounts in the sub-frame, and use the sub-frame as a stressed member in the alloy frame, if the engine was originally a stressed member.
Check out John Robinson's Motorcycle Tuning: Chassis book as it has some details on engine mounts.
Cheers,
FM
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