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  • LOG.md 13.91 KiB

    DEX

    Re-did the machine last week, now much simpler:

    dex

    ...

    Some Force Maths (and a .xlsx file)

    • want (?) from ex. nylon dogbone
    • for this, w/ motor doing 1.5NM, how much reduction ?

    Have this spreadsheet already, that's great. The D683 dogbone is ~ 8mm wide, and it would be great to test parts at 4 layers of 0.2mm - 0.8mm thick. That's skinny, but here we are: these are all under ~ 500N. OK.

    For that oomph, with a 22T drive pinion, I'll want a 6:1 reduction and a NEMA23 motor (just a short stack) pushing 1.26NM through to a max. 660N linear force. OK, glad to have checked, nice to know about the N23 - I had been thinking of N17s - and will have to watch about getting that 6:1.

    uSSM #3

    img

    Theres a few new criteria that ussm-3 aims to achieve:

    • Manufactured only using simple shop tools, PLA 3d printers, and a standard bed size (24'x 24') laser cutter.
    • Pulling force of around 600N

    In order to be laser cuttable, acryllic and delrin were the main two materials considered. Delrin was the go to option to avoid shattering.

    This design uses mainly the following adapted gantry system: gantry along with this beam design: beam for rigidity.

    The main idea is to attach a beam to the linear axis and use it as a carriage to hold fixturing for tensile testing on the top half and compression testing in the bottom half. The gantry system shown above does not supply enough torque, so an adapted version was made shown below.

    u3_carriage

    The uSSM #3 design takes advantage of the beam design by attaching 4 different beams to a larger "O-face", with webs in the corners to prevent torsion. The larger face itself is split into a bottom and top in order to make assembly easier, make each piece smaller to fit into laser cutter bed, and to have the possibility of changing top for larger specimens. The beam design also utilizes custom joinery talked about in the beam repository. This makes the machine take some time to build, but it allows delrin sheets to be used, allowing many fabs with laser cutters to be able to make this machine.

    u3_corner

    fixturing

    Fixturing is being designed to use mainly 3D printed parts. First up, PLA is being in the jaws to see if it can withstand the 600N load alongside a few other McMaster parts and this load cell u3_fixturing

    Drawingboard Return

    With #2 feeling somewhat unloved ('both overdesigned and underdesigned'), I'm back at the basics for #3. There's a few major selections, and decisions to make:

    Material Selection

    -> ALU, FR4(G10), Acrylic?

    While aluminum is my go-to for machine design, and is ostensibly possible to mill on a shopbot by a motivated user (see jens), there is some hesitation to use it.

    Material Young's Modulus (GPA) Specific Young's Cost for 6mm x 24x24" Machinability
    ABS 2 ? 52 Not Dimensionally Stable, but OK to Machine
    Nylon 6 3 2.5 130 Painful
    HDPE 1 ? 23 Easy
    Acetal (Delrin) 2.8 ? 89 Breezy, also lasers, and non-cracking
    Cast Acrylic 3.3 2.8 46 Breezy, esp. w/ Lasers
    6061 ALU 69 22 87 Breezy with WJ, Painful on Shopbot
    FR1/CE (Canvas / Phenolic) 6 ? 81 TBD, probably WJ Pain and Ease on SB
    FR4/G10 (Fiberglass) 22 ? 98 Painful on a WJ, Slightly Easier on a Shopbot

    data

    That said, ALU lands pretty well 1 order of magnitude above Canvas Phenolic ('FR1' or 'CE') for strength, while costing a similar amount of dollars. Fiberglass is a nice candidate, so machining G10 is likely a worthwhile experiment. However, both composites have anisotropic-ness and are sensitive to the size of local features (and to localized loads), making them less favourable.

    !TODO: beam equations for the above, to size req' depth !TODO: shear forces for the same, !TODO: cost not-mcmaster, and acrylic, some composite like hydrostone w/ fiber

    • ... composite vendors at fabclass website

    Transmission Design

    How Many kNs ?

    We want lots of force, with very fine control of position. This means a nice linear transmission. To estimate the forces we might want to see, I wrote a quick table of forces required to rip apart ~ 3mm square (0.001mm^2) samples of a few materials.

    Material Yield (MPA) F at Break (N)
    ABS 40 360
    Nylon 6 70 630
    HDPE 15 135
    6061 ALU 310 2790
    4140 Stainless 655 5895
    6AL-4V Ti 950 8550

    Brinell hardness tests range from 10N through to 30kN (for steel and cast iron) but non-ferrous materials normally see 5kN only.

    So, a ballpark of ~ 10kN would be ideal - this is a big number - off the bat I'm going to estimate that 5kN will be a more reasonable target. 1kN is enough for a complete set of plastics, but that's only allowing for a realtively small sample.

    -> Ballscrews, Belt Rack and Pinion, Rack and Pinion

    Generating kNs of force is no easy feat, especially when we want to do it very smoothly while displacing very small amounts.

    I will start by mentioning that this is dead easy with ballscrews. With a 1605 ballscrew, (16mm diameter, 5mm per turn) and a NEMA23 with 3Nm of torque, we can generate about 3kN of linear force (per motor) - to land at 5kN total no problem.

    However, these are somewhat cumbersome and expensive - and they land in fixed sizes. Towards more parametric machines, we can look at a rack and pinion type axis.

    ballscrew maths

    Because tooth geometry very sensitively affects linear-ness of drive, especially where (down below the mm) we will be driving an entire instron test-cycle inside of one tooth-phase, I want to discount a traditional rack and pinion right off.

    I am curious about a belt-driven rack, similar to this design.

    !TODO: compare by transmission ratios (abstract from motor) and cost of parts. !TODO: belt spec for hight (huge) load belts: tooth shear, and stiffnesses.

    Motor Torques

    To generate the force required, we're going to need some motor / transmission oomph. Here's a list of typical NEMA size motors, and the torques they can generate. The atkstepper can supply enough current to power any of these.

    Motor kg Nm
    N23 56mm 1.2 1.3
    N23 100mm 1.8 3.0
    N34 68mm 1.8 3.4
    N34 156mm 5.4 13.0
    N42 150mm 10.9 22.0

    Racks and Pinions

    We'll be using two linear stages (one on either side of the platform), so, from our N34 156mm motor with 13Nm of torque we'll need 26, 5.2 and 2.6mm lever arms respectively for 1, 5 and 10kN total force.

    Considering practical limits on pinion diameter (with a shaft of 14mm, and 19 3mm-pitch teeth, we'll have an 18mm diameter pinion - 9mm lever arm) we will only realistically achieve 1.44kN of linear force per motor with direct-drive rack and pinion on a Nema 34 size motor. This makes a 3kN machine, but to add some safety factor we're at at 2kN goal with this approach.