Posted April 18, 20204 yr Here I present a 256 speed gearbox controlled by 8 switches. This design is based on a 2 differential N to P gear ratio design presented in one of my other videos. The gearbox allows 256 different gearing ratios to be selected.
April 18, 20204 yr What's the point? I would understand, if there was just one gear selector, or it would be really compact.
April 18, 20204 yr Are you sure the 256 ratios are all different? If I understand your scheme at 5:25 well, S1 and S3 have the same ratio, and S2 and S6 also have the same ratio (1/3 : 1/2 = 2/1 : 3/1). So does that not reduce the total number of different combinations to 64?
April 21, 20204 yr Author On 4/18/2020 at 10:22 PM, Jurss said: What's the point? I would understand, if there was just one gear selector, or it would be really compact. Hi Jurss, Good point, thanks. Creating one gear selector for 256 gears would be an interesting challenge... For me the point is having fun and trying out my ideas - I find that often ideas that initially don't seem to have much use come in handy when you're trying to solve another unrelated design problem. On 4/19/2020 at 12:05 AM, Erik Leppen said: Are you sure the 256 ratios are all different? If I understand your scheme at 5:25 well, S1 and S3 have the same ratio, and S2 and S6 also have the same ratio (1/3 : 1/2 = 2/1 : 3/1). So does that not reduce the total number of different combinations to 64? Hi Erik, Good question, you had me worried for a moment . Maybe it wasn't clear in the video but S0 and S1 are combined into a single 4 way switch. As well as S2 and S3, so the fact that S1 and S3 have the same ratio doesn't matter. S0 switches between 2/1 and 1/3 and S1 switches between 1/4 and 5/3 so that means you can make the following four ratios [2/1 x 1/4, 2/1 x 5/3, 1/3 x 1/4, 1/3 x 5/3] = [1/2, 10/3, 1/12, 5/9]. Similarly S2 and S3 make [5/9, 1/12, 5/6, 1/8], and even though these two have common ratios (i.e. 1/12 and 5/9) they are used on different branches of the two differentials. If you study the output over input (O / I) equations you will see these do not cancel out. The same holds for S2 and S6. So yes I am 99% sure that the 256 ratios are all different.
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