01-18-2014, 01:13 PM
Quote:The actual problem is with those values spring house looks rather wide. Is this what it should look like or is there any problem with calculations?The "half-springs" (hemitonia) seem a little wide for the size of the "washers" (choinikides). Whose calculation have you followed?
Philon says that the "hole-carrier" (as you know, this is Marsden's name for the peritreton -- the rhomboidal top and bottom plate of each torsion-spring) should be 2 [sup]3[/sup]/[sub]4[/sub] diameters in length; he doesn't give the width, but says that the "side stanchion" (parastates) should be 1 + [sup]1[/sup]/[sub]3[/sub] + [sup]1[/sup]/[sub]4[/sub] diameters wide, so we may tentatively assume that the width of the peritreton is roughly the same. (For your 15-mina machine, the peritreton is [2.75 x 24.3cm =] 66.8cm long by approximately [1.58 x 24.3cm =] 38.5cm wide.) The washer (choinikis) itself is 2 diameters long and "as wide as the width of the hole-carrier", which (as we've seen) ought to be roughly 1 + [sup]1[/sup]/[sub]3[/sub] + [sup]1[/sup]/[sub]4[/sub] diameters. (For your 15-mina machine, the choinikis is [2 x 24.3cm =] 48.6cm long by approximately [1.58 x 24.3cm =] 38.5cm wide.) Thus, the washer should take up around two-thirds of the length of the peritreton -- yours looks as if it's only about one-third.
In practice, both Schramm and Marsden drew square washers on their diagrams, with sides of 1.5 diameters (curiously, Marsden's "List of dimensions" gives 2 x 2.5). Even these washers would seem larger than the ones on your drawings, I think.
