SU168890A1 - DEVICE FOR DRAWING MATHEMATICAL CURVES - Google Patents

Description

A device is known for drawing mathematical curves (ellipses, cycloid, cardioid, etc.) having a stand with a fixed gear and a swivel body, carrying a roller mounted on a rod with a adjustable writing tip, kinematically connected with a gear of the rack.

In order to expand the range of curves to be drawn in the proposed device, a snaffle with a changeable gear is inserted into the gear, and the body is C-shaped.

The drawing shows a diagram of the proposed device.

The fixed stand / with the centering needle 2 is connected to the fixed gear 3, around which the C-shaped housing 4 rotates, which carries the roller 6 on the retractable bar 5 and rotates the vertical roller S and the second sliding bar 9 with the writing tip 10 through a conical pair 7 .

The roller 6 is connected by a cylindrical pair 11 having a sliding key to an intermediate horizontal roller 12, which is connected by a snaffle 13 and interchangeable gear 14 to a lower roller 15 which receives rotation from a bevel gear 16 driven by a fixed gear 3. The brittle 13 and the interchangeable gear 14, the connecting rollers 15 and 12, provide a change in the angular velocity and the direction of rotation of the vertical roller 8, which determine the shape of the resulting curve.

Using the handle 17, the corresponding gear 18 or 19, the bite bit 13 is engaged with the interchangeable gear 14, determining the nature of the curve to be drawn.

For one complete rotation of the C-shaped body 4 with an angular speed coo around the axis A, the writing tip 10 makes a planetary motion consisting of two movements: portable around the A axis relative to axis B with the relative angular velocity of Oil ± icoo, and the “+ are determined by the position of the snaffle and i by the gear ratio of the gearing of the device, equal to the number of branches of the curve.

The extended rods 5 and 9 are equipped with vernier scales for precise setting of the radii R and g.

When working with the device, first install the replaceable gear 14, depending on the type of the given curve. Then, on scales 5 and 9, radii of L ± a and g are set, where A and a are the radii of the fixed and moving circles of cycloidal curves; K is any positive number greater than O but less than i + b with a plus sign for an epicycloid and a minus sign for a hypocycloid.

In the drawing, the axis of coordinates is applied and the device is installed in the plane of the drawing, the reference point is the writing tip 10 along the axis of coordinates and strengthened the center needle 2 at the point of intersection of the axes. Then, pressing the handle 20 by means of the second handle 21, rotate the C-shaped body 4 by 360 °. At the same time, depending on the setting of the chisupdias, tip 10 will draw the given curve.

When fixing the rod 9 with a fork 22 and the snaffle 13 turned off, use the device as a barbell. Roller

23 keeps the instrument in the desired position.

Subject invention

A device for drawing mathematical curves, comprising a rack with a fixed gear and a swivel body, carrying a roller mounted on a rod with a adjustable writing tip, kinematically connected with a gear with a rack gear, characterized in that in order to expand the range of curves to be drawn, a gear is inserted snaffle with replaceable gear, and the body is C-shaped.

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