Hey mark1234,
Google "laplace transform tables". You will be able to match up your G(s) to a time domain function. If i recall correctly, the transfer function you have will be an exponential in the time domain.
I believe there was a solution in the forum 5 years back where a user referenced Roark's Handbook. I've used the following equation from Roark's on a past project for what appears to be similar to your application. At the time, I didn't have access to FEA software to check against.
Tau_max =...
If you want this HAWT to be small, I would recommend getting a small 5-12V DC motor to couple to the prop. You can then measure voltage and current with a multimeter.
Here's a project I did for school: http://imgur.com/a/ClNBl#.
Numerous companies list screw conveyor design guides that cover everything about screws. Here is one of them: http://www.conveyusa.com/Screw-Conveyor-Catalog.pdf.
Don't worry; it's not like I'll be bitter or anything. haha. I think the design looks good. I like how the vane will shear through the granular material.
What kind of flow rates are you looking at?
My bad. The intent of this thread was for me (and possibly others) to get a few books from the list and learn something new.
I was hoping to keep it as broad as possible, really. My subjects of interest are controls OR turbomachinery. Thanks,
DScheuf
fmsrat:
From what I remember, using the classical beam theory (euler-bernoulli) does not account for shear strain which would over or under estimate your natural frequency. I feel that the beam theory you should be looking is Timoshenko.
Again, this from what I remember. Hopefully someone...