SU732818A1 - Linear and circular interpolator - Google Patents

Description

The invention relates to automatic control and is intended to be used in contour systems for programmed control of machine tools,

Known linear-circular interpolator built on the basis of digital discrete analyzers (CDA) 1,

Its main drawback is the large calculation width, which is determined by the necessary accuracy of calculations.

The closest to the technical essence of the invention is a 15 linear-circular interpolator with a large interpolation step, based on the integration of the X and Y values. It contains the first and second registers connected respectively through the first and second valves to the first control bus, 20 a frequency divider connected to the inputs of the third and fourth valve, the control inputs KOTOt x are connected respectively to the second and third control buses, the first and second input and output buses 2, respectively.

The device in the mode of circular interpolation implements in neighboring computations

iterative cycles alternately the following algorithms: 1) G Xi P R

AU;

V v

+ y y, h 1

10 Yivi

l x-, P-,

Xi, Xi + UX-, Yi +., Yi + D Yj

In the linear mode (Interpolation, there is no signal on the first control bus and Output buses, respectively, receive signals Y and X as a result of the implementation of the following algorithm:

1 Ai

L x to

n-i dx.,

P (YK

& Yi

P

The known device in the circular interpolation mode reproduces the contour of the circle with the contour error of 1PVC, and in the linear inter mode, reproduces the contour directly with the contour error of b. calculations of contour step errors b R and 6 L. The error 5 R has two components: contour step method error b R which is determined by the approximate nature of the formulas in the algorithm and terpol tions, which are determined by the values of LH and Lu: contour steps computing error tf R, which is determined by the approximate nature of the calculations according to the formulas interpolation algorithm. The error RGr has two components: d R $ 4 and 5 Rgj. The error f R arises when calculating the value of AH I go with a certain accuracy. The error S Rf arises when using the formulas for calculating the values of X and RL of the approximate values of the coordinates X and Y. The error 5 is many times greater than the error d. is defined tueft in error 6 Re. In order to obtain the admissible size of the RUB.B ruble by a known device, the calculation width exceeds the original data width by a factor of 2, and the calculations are performed with an accuracy. The error f L, in contrast to circular interpolation, has one component d L, which consists only of the error b L. It is necessary to have a calculation width for linear and interpolation the same as for circular. The purpose of the invention is to simplify the design and structure by reducing the size of the number of blocks. To achieve the goal, a linear-circular interpolator containing the first divider and in each coordinate channel is the first valve, the input of which is connected to the output of the first divider register, whose input is connected to the output of the second valve, and the first of the second valve of each channel additionally contains in each coordinate channel the second divider, the first and second inputs of which are connected to the outputs of the register and the first valve, respectively, the first output - to the register input of this coordinate to Nala, and the second output - to a second input of the second gate coordinate another channel.

The drawing shows a block diagram of an interpolator.

Y. V. -4- V KiM Ki OCt.t The circuit contains the first 1 and second 2 registers, the second 3 and 4 and the first 5 and b valves, the second 7 and 8 and the first 9 dividers, inputs 10 and 11, control buses 12-14, as well as output buses 15 and 16. The device operates as follows. At inputs 10 and 11, the values of R or L are set, respectively, and the value of n is formed at the output of divider 9 (c, where q is the quotient when completely dividing. On a signal from bus 13, at the output of divider 7, the value of Y is formed at circular interpolation and with linear interpolation. From the output of the remainder, the value of X, where the residue is the remainder of the division, is fed to register 1, where the value Xi X is formed; + Hos.) The signal from the bus 14 at the output of the divider 8 generates the value of L or lX, ac output the remainder value, V0p, is fed to register 2, where the value of U1 Y) PP is generated Thus, in the proposed linear-circular interpolator in the circular interpolation mode in the next computational cycles, the following algorithms are implemented: Yoc, r (-KG Y; "Y-, ,,, Xi + aX, X, X, + 1Х1л I | YOC, i V - (YH, Y, + DU, Y. Y -I- t Y, UlI A L, Y- Y. + YX ,, -X ;, f-XOCTI HI y OCl.ia in linear mode interpolations are the following algorithm: n (-V-) u Hos, .G (if -) - VV 4- Y 00.i Y-vfr. (

Claims (2)

The formula of the invention of the valve, and the first input of the valve of each channel with the interpolator input, which is due to the fact that, to simplify the interpolator, it 2 E.d, in 4 E.D.V., As a result, the following dependencies were obtained: I b r ₆ 1 < ) b L ₆ I < where EMF is the unit of discreteness of calculations in the interpolator. Thus, in the proposed linear-circular interpolator it is sufficient to perform calculations Linear-circular interpolator ”containing the first divider and in each coordinate channel * the first valve, the input of which is connected to the output of the first divider, and the register, the input of which is connected to the output of the second second din with a person with the purpose, contains a second divider in each coordinate channel (the first and the second inputs of which are connected to the outputs of the register and the first gate, respectively, the first input to the input of the register of this coordinate channel, and the second output to the second input of the second valve of the other coordinate channel.