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hardening of 4340 for ultimate strength 2

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kristoffon

Mechanical
Feb 8, 2010
13
Hello, I'm designing a flywheel for storage of 7 MJ. Currently I'm achieving that spinning at 14500 rpm a 500mm diameter (20 inch) x 120mm (4.7 inch) 4340 cylinder.

I'm assuming I can harden it to 2020 MPa (293000 ksi) ultimate strength according to this matweb datasheet:

FEA shows I'm working with a factor of safety of 2.6.

My questions:

- Is that ultimate strenght value realistically achievable?
- Is my factor of safety adequate?

Thank you.
 
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kristoffon;
You should be designing to the yield strength and/or shear strength properties in tension with a suitable factor of safety against plastic deformation, versus using ultimate tensile strength.

I would say 2.5 for a design safety factor for flywheel application (rotating application) is suitable.

Will these flywheels be in concrete vaults underground?
 
metengr,

Yes, actually I'm desiging against yeld strength, I only copied ultimate strength as an example.

My idea for containment would be encasing it in a 25mm (1 inch) thick steel cylinder, above ground, a single hole in one side for the axis connecting to an eddy current clutch for energy discharge. Would you consider that containment inadequate?

Thanks.
 
kristoffon;
Yes. I wish I could provide more technical information but I was involved with a recent evaluation of a flywheel energy storage system.
 
kristoffon,

Using 4340 alloy steel hardened to 293ksi Ftu (Rc 54) is probably overly optimistic. Take a look at the published data for aircraft quality vacuum melt 4340 (AMS 6414) here:


This manufacturer gives a recommendation for oil quench and temper at 400degF to achieve max tensile properties of 276ksi Ftu/222ksi Fty/11% elong.

As for a FS of 2.6 on your analysis, the appropriate FS should be that defined by whatever design or regulatory standard is covering your flywheel's installation. And does your analysis show a positive margin based on that FS? A FS of 2.6 is fairly conservative if your analysis is done carefully. A thorough stress analysis of a high speed flywheel structure must take into account all of the combined dynamic loads, along with the appropriate Kt factors.

Hope that helps.
Terry
 
Thank you tbuelna I also thought it was too good to be true.
 
Tmoose's post is a valuable reminder that estimates of damage potential are usually waaaaayyyy off... and that containment of a high energy catastrophic failure can be very difficult.

Aero engine manufacturers have a heavy load to bear when it comes to "containment" of rotating disc & blades to prevent catastrophic airframe damage. Debris is not permitted to penetrate fuselages nor wing/empennage structure. Debris can spew-out forward or aft (if it has a high probability of not striking the airframe)... so only partial containment is necessary. The worst offenders are the large fan blades and discs. Imbalance loading after a failure must also be dealt with... along with the potential for fire/explosion, searing-hot-air leaks and electrical arcing/sparking. These problems are NOT trivial and require more than intuition and R-O-Ts to solve.

I recently ran across the following graphic demonstrations of tire inflation safety cages for aircraft tire/wheel Assys. The problem of containment is just as severe and non-intuitive... with the complicating factor of the instantaneous expansion of the contained pressurized air [nitrogen preferred]. The videos on the following website over-inflate aircraft tires deliberately, to test various protective cage designs. You think this is a simple problem, yet existing cage designs failed miserably [IE: spectacularly/catastrophically]. Click on the corresponding image for a detailed short video.



Regards, Wil Taylor
 
High strength usually goes hand-in-hand with lower toughness. Before you build this, I would strongly suggest that a fracture mechanics analysis is needed to determine the critical flaw size for the material/strength conditions. Heat treating your materials to that high a hardness (Rc 54) will also make them hghly susceptible to stress-corrosion cracking and/or hydrogen embrittlement failures, even under mild humidity conditions.

I also agree with Tmoose's statement that your protections system will "probably not" be adequate.

The truck tire videos illustrate the amount of energy contained within a volume of compressed air. I suspect that the energy contained within your flywheel to be similarly significant. If your flywheel breaks off a piece from the edge of your wheel, how much energy is that piece containing that is now traveling at 14500 rpm x 3.1416*20 inches (>800 miles per hour if I do my math correctly)? If your wheel breaks into pieces completely ... 1" of steel plate will not contain it.
 
As I mentioned above you should have a concrete vault for containment in addition to using a steel housing for vacuum. You certainly are not going to operate a high speed flywheel in air with windage. There is much more to flywheel energy storage systems in terms of what is discussed above.
 
Gentlemen thanks again for the advice.

I'm not planning on using vacuum because I don't want to store the energy for any amount of time. Charge it and use it when full, then charge it again.

I figure I can build the flywheel with integrated motor and eletromagnetic clutch for less than half what a 400 hp motor with PLC control will cost me.

It's a hobby project. It's for a glider launch winch. Power is needed for 20 seconds only.

As for containment I might just overbuild it -- if I could be sure it would be safe. 10 inch concrete shell with 1 inch steel wall perhaps? It does have to be above ground so that we can move it.

If I have to destroy a flywheel to test the containment then it won't be cheaper anymore, though.
 
You may want to investigate a maraging type of steel, such as C300, C350. I would have much more confidence in those alloys.
 
Thanks TempMart for the tip but maraging steels are very hard to find in my area in large sizes and I wish to stick to readily available materials like 4340...
 
Me, I'd just use a big-block Chevy.

"You see, wire telegraph is like a very long cat. You pull his tail in New York and his head is meowing in Los Angeles. Do you understand this? Radio operates the same way: You send signals here, they receive them there. The only difference is there is no cat." A. Einstein
 
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