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# J geometric error assessment of a nanomechanical

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Unformatted text preview: presents the nominal orientation of the gear and the tip in the device. These assumptions allow for the simplification of calculations and the determination of the effect of the gap between the gear and the hub. In order to further simplify calculations, it is assumed that there are no errors in the geometry of the workpiece. Since the goal of this study is to determine the contribution of the nanodrill to errors in the drilled hole, it is logical to isolate the desired errors by assuming no errors in the workpiece. The following equations describe the geometric relationships that lead to the rotation of the drill system gap gap ⎟ ⎟≈⎜ θ = tan −1 ⎜ ⎟ ⎟⎜R ⎜R hub ⎠ hub ⎠ ⎝ ⎝ ⎛ 0.5V ⎞ ⎛ 0.5V ⎞ (2) (3) (4) U = L − L cos(θ ) ≈ 0 k y k U x = L sin(θ ) U and U are the horizontal and vertical deviations of the drill due to a rotation, θ , k x k y of the drill’s structure (Figure 3). θ is considered to be the rotation of the top of the gear. H gap , Vgap ,...
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## This note was uploaded on 08/03/2010 for the course DD 1234 taught by Professor Zczxc during the Spring '10 term at Magnolia Bible.

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