SU1425459A1 - Method of measuring mass distribution - Google Patents

Abstract

The invention relates to a measurement technique and makes it possible to increase accuracy while simplifying measurements. The measured body is rotated in a given plane around a point, which is arbitrarily fixed relative to this body, until an extreme vibration frequency is obtained with respect to one of the axes. The distance between the selected point and the two axes located in the same plane with it is measured. The oscillatory movements of the body are carried out by external forces. The system of equations is given, from which the desired quantities are determined, 1 Il. with

Description

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1425459

This invention relates to instrumentation engineering, in particular to methods for measuring mass that are not related to the measurement of gravity.

The purpose of the invention is to improve accuracy while simplifying measurements.

The method consists in rotating the measured body in a given plane around an arbitrary fixed point and finding the body position corresponding to the extreme frequency of its oscillations, measuring the distance between the fixed point and two more axial positions located in the same given plane.

The mass distribution is determined using mathematical dependencies.

by measuring one linear parameter. In addition, when choosing an arbitrary point for determining distances, the method allows for different bodies to perform the same relative measurements. Oscillatory body movements are carried out under the influence of external

15

but,,,

2,

.

a, 5 x

 Xj

where is a;

j

coefficients characterizing the position of the body and depending on the desired characteristics;

coefficient characterizing the restoring force; desired characteristics; mass, moment of inertia, moment si, py, mass of component parts;

the moment of inertia of the device relative to the axis of rotation.

under the force of gravity, which also simplifies the measurement process and improves the measurement accuracy of vibration parameters.

The drawing shows a diagram of the device for implementing the proposed method.

The test sample 1 is mounted on the platform 2, which has an axis of rotation 3, which makes oscillatory movements .20 under the action of the spring 4. On

g T. - I, the drawing is indicated: w - sample mass; c is the center of his body.

The distance between the end face of sample 1 and the axis of rotation 3 is measured, for example, with end measures. The spring, the bone of the spring and the moment of inertia of the device are determined by measuring the vibration parameters, installing 2 reference masses on the platform with the known position of the center of mass and the known moment of inertia.

Claims (1)

Invention Formula k 41t „, Gp -g / l.o J- k four - ™ t „...“ j thirty 35 The method of measuring the mass distribution, including measuring the coordinates and frequencies of the body relative to three parallel axes located at different distances from its center of mass, characterized in that 40, in order to improve accuracy while simplifying the measurements, choose an arbitrary point fixed relative to the body and by rotating around it in a given plane we find the position The method of measuring the distribution of mass, including measuring the coordination and vibration frequencies of a body relative to three parallel axes, is located at different distances from its center of mass, characterized in that, in order to improve accuracy while simplifying measurements, an arbitrary fixed point relative to the body is chosen. and by rotating around it in a given plane are found All body movements and measurements are made for a point arbitrarily fixed relative to this body, and its rotation is carried out in a back-. this plane to obtain an extremum-45 corresponding to an extreme frequency frequency of oscillation. This allows to obtain two coordinates of the position of the center of mass of the body from the results of one experiment, and the location of the axes of rotation in the same plane limits the measurement of the position of the body those of its oscillations relative to one of the axes, then measure the distance between the selected point and the axes located with it in the same plane, and the desired values are found from the system of equations I by measuring one linear parameter. In addition, when choosing an arbitrary point for determining distances, the method allows for different bodies to perform the same relative measurements. Oscillatory body movements are made under the influence of external The method of measuring the mass distribution, including measuring the coordinates and frequencies of body oscillations relative to three parallel axes located at different distances from its center of mass, characterized in that, in order to improve accuracy while simplifying the measurements, an arbitrary point relative to the body is chosen. by rotating around it in a given plane, one finds the position corresponding to extreme frequent those of its oscillations relative to one of the axes, then measure the distance between the selected point and the axes located with it in the same plane, and the desired values are found from the system of equations X. -I- a .iX + a ,, x, -1- a ,, x, a „x ,, +  " five t-li f - I 3 31D25459 a-- - coefficients characterizing the position of the body and depending on the desired characteristics; - Xj - desired characteristics: / mass, moment of inertia, moment of force, mass of sotschvvnyh parts: -coefficient characterizing the restoring force; is the moment of inertia of the device relative to the axis of rotation.