SU1208565A1 - Pneumatic device for extracting square root - Google Patents

Abstract

This invention relates to pneumatic computing. The principle of operation of the device is based on a piecewise approximation of the initial root dependence P 0.8 (Pp-0.2) + 0.2, where Pg, Pgyjj are the input and output pressures. Depending on the input pressure, one of the sections (there are three of them) is automatically selected. Approximation with the help of the bus selection scheme, after which Pgy is amplified in magnitude and magnitude. 1 il. Ju about 00 sd about: sd

Description

one

The invention relates to computing, namely to pneumatic devices for square root extraction.

The purpose of the invention is to improve the accuracy,

The drawing shows a diagram of a pneumatic device.

The device contains the first 1 and second 2 reference adjusters, choke adders 3-5, the last of which consists of a constant turbulent 6 and variable laminar 7 chokes, single-membrane elements 8-I with a shift, a constant feed throttle 12, a difference amplifier 13, made on the basis of single-membrane elements 14 and 15 and chokes 16-18, the amplifier 19 in pressure and power.

The input channel P is connected to the positive input of the differential amplifier 13, the deaf chamber of the third single-membrane element 10 and the first inputs of the first 3 and second 4 choke adders, the second inputs are connected to the first setpoint 1, and the outputs to the deaf cameras of the first 8 and second 9 single membrane elements.

The output P of the difference amplifier 13 is directly connected to the deaf chamber of the fourth single-membrane element 11 and through the third choke adder 5 with the negative input of the differential amplifier 13, the turbulent constant choke being connected to the second setpoint 2.

Single-membrane elements 8-11 are included according to the minimum selection scheme, and their common collector is connected via output amplifier 19 to the output Pj ,,,, of the device.

The principle of the device is based on piecewise approximation of the initial root dependence

out

 0.8 (P - 0.2) + 0.2, (1)

and correspondingly

where pg

inlet and outlet pressure.

In the interval of input pressure changes from 0.3 to 1.0 kgf / cm, for approximating the root dependence with an error no worse than 1%, it suffices to have three divisions, on each of which the root dependence is approximated from 08565

sharp pr my. In the interval of variation of the input pressure from 0.2 to 0.3 kgf / cm, the root dependence is approximated by one nonlinear 5 segment.

Depending on the magnitude of the inlet pressure, one of the approximation sites is selected. Automatic selection of the relevant area

to be implemented by a smaller signal selection circuit. Next, the output pressure is amplified in magnitude by the pressure amplifier (with a coefficient Kii-1.2), and in power - in the output

15 by the amplifier 19.

Each of the approximating straight line segments is specified by the initial ordinate and the angle of inclination. The initial ordinates of rectilinear segments are realized with the help of single-membrane elements 8 - with a shift, and the first setter 1. The slopes of the straight segments are set with the help of throttle dividers 3 and 4.

25 Dp of implementation of the first non-linear section the choke is made turbulent. Geometric data thrusts. villages 6 are selected from the condition of providing a laminar flow mode through a 30 variable choke 7. A circular jet crossbar junction working in conjunction with a variable cone-cone-type choke with the value of the reference signal P 0.2 kgf / cm, m35

This mode is provided with a jet diameter of 0.1 mm.

Since the pressures in the deaf and flow-through chambers of the element 14 of the difference amplifier 13 are equal, the stroke of 0.2 through the variable choke 7 with the laminar flow regime is equal to:

ys. GR, - r ;,), (2)

where o .. is a constant coefficient determined by the geometry

and the degree of opening of the drosels 7;

P, P, are the absolute values of the pressures at the inlet and outlet of the 50 difference amplifier 13.

O. flow through turbulent choke 6 Described by the equation:

Q. –y4T7g1

6X

RO).

(3)

where is a constant coefficient determined by the geometry of drossel 6;

P - the absolute value of reference0

pressure of the second setpoint 2;

V 1.2 kgf / cm From the condition of continuity of flow

Costs 0. and Qy are equal:

- at

Respectively

 PovPax-P,) () Considering the coefficient K of the magnitude amplifier 19 and the -.shift of the fourth single-membrane element 1, the output pressure in the first approximation area is defined as follows:

your

The calculation shows that in the range of input pressure changes of 0.2-0.3 kgf / cm, dependence (G) approximates the root dependence (1) with an error not worse than 1% (with D = 0.026 kgf / cm and 1.14) .

Experimental verification showed that the proposed square-root device implements the root dependence (O in the standard range of variation of the input pressure P 0.2–1.0 with a resolution of less than + 1%.

CM

Compared with the prototype (which is taken as the device 11F1.17 of the Tizpribor plant), the proposed device provides a reduction in the error at the initial part of the input signal change.

0.2 Pgj & 0.28 kgf / cm

Claims (1)

Formula Fig. eteny A pneumatic device for square-root extraction, containing the first unit, the first and second choke adders and three single-membrane elements with a shift, whose flow chambers are connected to the feed channel and 0 directly with the output amplifier, the deaf chamber of the third single-membrane element with a shift is connected with the input channel and the first. the throttle inputs of X adders, the second inputs of which are connected to the first setter, and the outputs are connected respectively to the deaf cameras of the first and second single-membrane elements with a shift that differs from e0 so that, in order to improve accuracy, a differential amplifier is additionally installed in it, the fourth single-membrane element with a shift and the third choke adder, made on the basis of a constant turbulent and variable laminar chokes, with the plus input of the difference amplifier connected to the input channel, move - with variable The Q laminar throttle and the blind chamber of the fourth single-membrane element with a shift, the flow chamber of which is connected to the flow chambers of previous single-membrane elements with a shift, the minus chamber of the difference amplifier is connected to the output of the third butterfly throttle, the turbulent throttle of which is connected to the second sensor. Editor- A.Revin Compiled by O. Gudkov Tehred 3.PaliyKorrektor S.Shekmar 289/58 Circulation 673 Subscription VNIIPI USSR State Committee for Inventions and Discoveries 4/5, Moscow, Zh-35, Raushsk nab. 113035 Branch ShSh Patent, Uzhgorod, st. Project, 4