SU1664589A1 - Instrument for reproduction of curves - Google Patents

Abstract

The invention relates to drawing instruments for reproducing math curves and extends the range of reproducible curves. Guide 5 is mounted on the slider 4 of the first crank mechanism. On the slider 8 of the second crank mechanism, a lever 9 is pivotally attached, pivotally connected to a ruler 10, which by means of a slider 11 is connected to a carriage 12 carrying a recording pin 13. The gears 14 to 17 provide a kinematic connection of the connecting rod 7 to the lever 9 and a ruler 10 with certain gear ratios. The writing pin 13, when turning the crank 2, reproduces curves that approximate polynomials of various degrees in a given area. 2 Il.

Description

one

(21) 4494065/12 (22) 08.29.88 (46) 07.23.91. Bul №27 (75) Yu.Yu.Korshunov

(53) 744.34 (088.8)

(56) USSR Copyright Certificate No. 923891, cl. In 43 L 11/00, 1980.

(54) DEVICE FOR REPRODUCTION OF CURVES

(57) The invention relates to drawing instruments for reproducing math curves and extends the range of reproducible curves. Guide 5 mounted on slider 4

the first crank mechanism. On the slider 8 of the second crank mechanism, a lever 9 is pivotally attached, pivotally connected to a ruler 10, which by means of a slider 11 is connected to a carriage 12 carrying a recording pin 13. The gears 14-17 provide a kinematic connection of the connecting rod 7 with the lever 9 and a ruler 10 with certain gear ratios. The writing pin 13, when turning the crank 2, reproduces curves that approximate polynomials of various degrees in a given area. 2 Il.

about

Os

4 SL 00

about

The invention relates to the field of drawing instruments for reproducing mathematical curves and can be used, for example, in the educational process of universities.

The purpose of the invention is to expand the reproduction range of the curves.

Figure 1 shows the kinematic diagram of the device; figure 2 - scheme of work.

The device contains a horizontal guide 1, with which the crank-bearing 2 of the first crank mechanism, having a connecting rod 3 with a length k equal to the length of the crank, and a slider 4 mounted on the guide 1 are pivotally connected. On the slider 4 a vertical guide 5 is fixed. 4 with a connecting rod 3 rigidly at a right angle fastened crank 6 of the second crank mechanism, шаtx

tun 7 which has a length y equal to

the length of the crank 6, and the slider 8 is mounted on the guide 5. On the slider 8 one end of the lever 9 is pivotally fixed with a length, at the other end it is pivotally connected to the ruler 10, which by means of the slide 11 mounted on it is connected to the carriage 12 5 and bearing carrier pin 13, fixed at a distance of

Bp +1 + 2 from

the hinge of the slider 11. A gear transmission consisting of gears 14-17 provides the kinematic connection of the connecting rod 7 with the lever 9 with the gear ratio n and the connecting rod 7 with the ruler 10c with the gear ratio 2n + 1 2

When turning the crank1 2 at an angle p, the slider 4 has a coordinate x 2 k cozy + S, where S is the distance from the hinge of crank 2 to the origin. Crank 6 and connecting rod 7 form the angles p from direction 5 as well; between the connecting rod 7 and the lever 9 angle p p between the lever 9 and

ruler 10 angle (2 P + 1) Ј, and ruler 10

forms an angle δ with guide 5. So

thus, the writing pin 13 reproduces the curve

slrMply alnf

+

ABOUT)

ten

+ tx cozy + bn + 1 +

on the argument section

x S ± 2k.

Curve (1) can be approximated in a given area by a polynomial of any kind

20

for aixn + - | .., + up.

five

0

five

0

five

Claims (1)

Claims A device for reproducing curves, comprising a horizontal guide, a first crank mechanism, the crank of which is pivotally connected to the guide, and a slider is mounted on it, a vertical guide rigidly attached to the slide, the second crank mechanism, the crank, mounted on the slider of the first mechanism and rigidly fastened with its connecting rod perpendicular to it, and the slider is mounted on a vertical guide, a carriage with a writing pin mounted on a vertical direction the lever, one end hinged on the slider of the second mechanism, and a ruler hinged at one end to the free end of the lever, characterized in that, in order to expand the range of reproducible curves, it has a gear transmission, a kinematically connecting rod of the second a crank mechanism with a lever and a ruler, wherein the free end of the ruler is connected to the carriage by means of a slide hinged on the carriage mounted on the ruler. T & 7Fig .2 & P + 1) jf i rfr