On 11/8/2015 4:13 AM, linden wrote:
> yes this is a big issue rigidity and vibration damning have
> traditionally been done by increasing the mass and by using cast iron
> that has a natural tendency to absorb and dissipate vibration.
>
> You can build very rigid light wait structures but most of these have
> harmonics like a tuning fork. These vibrations would not be good for
> your surface finish and on the other hand if you built every thing out
> of cast iron with a mass of several thousand kg your speed and
> acceleration are limited.
>
> The trick is to build a rigid machine with light moving parts that
> absorbs vibration. Every thing is a compromise trying to find a
> compromise that will accomplish what you need is where the fun is.

When the vibration properties of a material in various sizes and shapes 
are measured, it's possible to closely calculate the vibration of the 
material in an arbitrary shape.

Finite Element Analysis (FEA) has been used for quite a while for things 
like engines and transmissions but doesn't seem to have made much, if 
any, inroads into machine tool design.

For vehicle parts, FEA is used to reduce weight while improving strength 
and reducing vibration or adjusting vibration frequency to values that 
are non-harmful to the part and not annoying to occupants.

But with cast iron machine tools the majority of them still seem to be 
designed using the rule that more mass is always best.

In some severe duty cases it has been found that much less mass than 
seems logical is what's required. One case was in a new model of Benelli 
semi-automatic shotgun. Benelli wanted to design the absolute shortest 
stroke action possible to work with the length of shells the gun was to 
use. The prototypes kept breaking a part of the extractor. 
Paradoxically, the thicker and stiffer they made the part, the fewer 
cycles it took to break it. In a flash of insight, one of their 
engineers tried making the part thinner than the first one which broke. 
The thinnest version wouldn't break. Further analysis showed that no 
matter how thick and stiff the part was made, it would still flex. That 
would fatigue it until it would snap. The thinner version could flex 
without fatigue.

For something like a knee mill column, there's likely plenty of areas 
where thick sections of cast iron are doing little except make the thing 
weigh more. A single wall isogrid design might be plenty strong enough, 
possibly every bit as good, maybe better, at vibration damping and it 
would weigh a lot less and cost less by using less metal.

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