SU686906A1 - Instrument for tracing out curves of third and fourth orders - Google Patents

Description

The device consists of a base 1 (figurnu ruler I-beam with a narrow longitudinal slit and a hole under the axis of the hinge); links 2 and 3 lines with narrow longitudinal slits and holes under the axis of the hinges); a dual crank part 4 (a ruler with three holes under the axis of the hinges); connecting rod 5 (ruler with a narrow longitudinal slot and a hole for the hinge axis); crank 6 (a ruler with two holes under the axis of the hinges); a double crank part 7 (a ruler with three holes under the axis of the hinges) of the finger 8, which is fixed with a notch nut 9 so that it can freely move simultaneously along the slits of the links 2 and 3; writing pin 10 (you can use the writing leg of compasses).

The axes 11 of the nodes II and in (see Fig. 3 are fixed stationary on the base 1 by means of a nut 12 having recesses for an open-end wrench. The finger 13 of the node IV (see Fig 4) is freely moving along the cut. 7 it interconnects the hinge .VOcice of node V (see Fig. 5) fixedly mounted on base 1; axis 15 of node VI (see Fig. 6) is fixed fixed to connector; axis 16 of node VII (see Fig. 7) is fixed without movement on the base 1; axis 17 of the node VIII (see Fig. 8) pivotally connects links 6 and 3; axis 18 of node IX (see Fig. 9) is fixed on link 3.

: As the mechanism moves, the writing pin inserted in Will will reproduce the fourth order egg family of curves with S,, (see Fig. 12).

By converting part-7 crooked into double, you can rebuild the mechanism for reproducing the fourth-order Krivios family of perimets of a circle (see .. Fig. 13). ,

Provided that the OSj A | Sj mechanism reproduces a curve of the type of a plant leaf (see Fig. 14) into which an egg curve is transformed, and a slightly perimetric curve of the type of a performof of a circle (see Fig. 15).

If s | О S А,, then the mechanism will draw a family of curves with nodal points in a conchoid of a general form (see Fig. 16).

It should be noted that the families of lines (see Fig. 13,15) make it possible to obtain a surface frame of igpanguts, identical in shape to the frames of the aft part of sea vessels. By changing the position of the 5 position of the fixed link, a mechanism can be used to draw a family of surface lines with the necessary hydromechanical design, technological or other properties. The mechanization of the formation of these lines makes it possible to significantly reduce the time spent in performing graphic work in designing such surfaces.

The removal to infinity of the S axis, around which the link 2 rotates, makes it possible to obtain an ellipsograph (see Fig. 17). In the original scheme (see Fig. 12), the dyad consisting of sliders entering the rotational pair at point Aj is replaced by a cross-shaped slide with mutually perpendicular guides. There is no need for a slider entering at the AZ point into the rotational pair with the crank part 7. The mechanism becomes eight-link,

Claims (1)

Formula invention A device for plotting curves of the third and fourth order, containing a hinged three-link, mounted on the base with adjustable hinges and consisting of a connecting rod and hinged on the base of the crank and a double crank, a link, mounted on the base with a hinge and connected to the connecting rod using two hinge-connected sliders carrying pi {a quick-moving device, characterized in that, in order to expand the range of curves to be drawn, it has a second hinged-fortified base A crank crank with a shoulder length equal to the length of the shoulders of the first double crank, and connected with a hinge to the slide, and a second connecting rod X, with one end hinged to the first double crank, and the other to the sliding slider and the second double crank POM Sources of information taken into account in the examination I. USSR author's certificate in application 1822507 / 28-12, 15.08,72. tl. IT AND T t J R Well jr VIII J- WIF .8 T T Fig.1-b 3-3 - U kJ ) 8 Figs. Jn