CN104568311A - Double-torsion-bar rotational inertia measuring device - Google Patents
Double-torsion-bar rotational inertia measuring device Download PDFInfo
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- CN104568311A CN104568311A CN201510014954.2A CN201510014954A CN104568311A CN 104568311 A CN104568311 A CN 104568311A CN 201510014954 A CN201510014954 A CN 201510014954A CN 104568311 A CN104568311 A CN 104568311A
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- torsion bar
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Abstract
The invention discloses a double-torsion-bar rotational inertia measuring device and belongs to the technical field of mechanical measuring. The double-torsion-bar rotational inertia measuring device aims at solving the problem that the measuring range of a single-torsion-bar measuring method in the prior art is limited to a certain extent. The double-torsion-bar rotational inertia measuring device comprises a horizontal torsion plate, a swing needle, a groove-shaped photoelectric sensor, a torsion bar shaft, a supporting sleeve and a device shell. The swing needle is fixed to the lower end of the torsion plate and swings in a groove of the groove-shaped photoelectric sensor fixed to the device shell. The torsion bar shaft is fixed to the bottom face of the torsion plate through a bearing, the torsion bar shaft and the torsion plate are coaxial, the lower end of the torsion bar shaft is fixedly connected with the supporting sleeve through a fixing bolt, and the supporting sleeve is arranged in the device shell and is fixedly connected with the device shell. The torsion bar shaft comprises the two ends of a first torsion bar and the two ends of a second torsion bar, a bolt hole in the horizontal direction is formed in the joint of the first torsion bar and the second torsion bar, and fixing and loosening of the joint of the first torsion bar and the second torsion bar and the supporting sleeve are achieved through plugging and unplugging of the movable bolt.
Description
Technical field
The invention belongs to mechanical measurement technique field, be specifically related to a kind of two torsion bar rotation inerttia device.
Background technology
The measuring method of general measure object rotation inertia has multiple, and modal have compound pendulum, string pendulum method and Inertia Based on Torsion Pendulum Method etc.Their common ground applies external force to testee, and destroy the static equilibrium of system, after cancelling external force, testee freely swings, and can calculate the moment of inertia of testee wraparound rotating shaft by measuring its hunting period.The error of compound pendulum mainly comes pivot angle hypothesis, frictional resistance and air resistance from childhood, and compound pendulum is not suitable for the larger testee of quality.Use string pendulum method to carry out rotation inerttia to quality and larger-size object, there is many difficulties: measured piece often can with twisting in rotation process, therefore be difficult to Measurement accuracy hunting period; How hanging, how spin line fixes, and cycloid elongates how the error brought is revised etc., and problem is not temporarily also effectively solved.The measuring accuracy of Inertia Based on Torsion Pendulum Method is the highest, convenient mounting and clamping, error can be less than 1%, its error is mainly from frictional resistance and air resistance, and measuring accuracy can be improved by modified node method, in prior art, the single torsion bar of general employing realizes the measurement to moment of inertia, and single torsion bar is measured because mechanism itself has certain limitation, and the scope that device entirety is measured has certain restriction.
Summary of the invention
The object of the invention is to propose a kind of two torsion bar rotation inerttia device, the measurement range solving single torsion bar measuring method existence in prior art has the problem of a definite limitation.
For achieving the above object, what the of the present invention pair of torsion bar rotation inerttia device comprised level turns round dish, balancing point, groove type photoelectric sensor, torsion bar shaft, support set and crust of the device;
Turn round dish lower end described in described balancing point is fixed on, swing in the groove being fixed on the groove type photoelectric sensor on crust of the device;
Described torsion bar shaft turns round the face of trying to get to the heart of a matter described in being fixed on by bearing, described torsion bar shaft with described turn round coil coaxial, described torsion bar shaft lower end is fixedly connected with described support set by Fixed latches, and described support set is arranged on described crust of the device inside and is fixedly connected with described crust of the device;
Described torsion bar shaft comprises the first torsion bar and the second torsion bar two ends, and the first torsion bar and the second torsion bar junction are provided with the pin hole of horizontal direction, realizes the fixing of the first torsion bar and the second torsion bar junction and support set and unclamp by the insertion of movable latch and extracting.
The length of described first torsion bar is L
1, diameter is D
1, the length of the second torsion bar is L
2, diameter is D
2, wherein L
1≠ L
2, D
1≠ D
2.
Described turning round coils the stationary installation that upper end is provided with fixing test specimen.
Described stationary installation is wishbone or stationary fixture.
Beneficial effect of the present invention is: of the present invention pair of torsion bar rotation inerttia device is owing to carrying out the switching of single two torsion bar by movable latch, when movable latch is plugged, the second torsion bar is below fixedly connected with support set, upper and lower side is fixed simultaneously, cause the second torsion bar not movable, thus the first torsion bar reverses, the second torsion bar is motionless; When movable latch is pulled up, the second torsion bar upper end is separated with support set, thus can move, and the first torsion bar and the second torsion bar reverse simultaneously; An equipment realizes the function of two equipment, significantly reduces cost, effectively improves the measurement range of moment of inertia, solves single torsion bar Problems existing easily.
Accompanying drawing explanation
Fig. 1 is of the present invention pair of torsion bar rotation inerttia device one-piece construction schematic diagram;
Wherein, 1, test specimen, 2, turn round dish, 3, balancing point, 4, photoelectric sensor, 5, bearing, 6, torsion bar shaft, the 7, first torsion bar, 8, support set, 9, movable latch, the 10, second torsion bar, 11, Fixed latches, 12, crust of the device.
Embodiment
Below in conjunction with accompanying drawing, embodiments of the present invention are described further.
See accompanying drawing 1, what the of the present invention pair of torsion bar rotation inerttia device comprised level turns round dish 2, balancing point 3, groove type photoelectric sensor 4, torsion bar shaft 6, support set 8 and crust of the device 12;
Described balancing point 3 is fixed on described level and turns round dish 2 lower end, swings in the groove being fixed on the groove type photoelectric sensor 4 on crust of the device 12;
Described torsion bar shaft 6 turns round dish 2 bottom surface described in being fixed on by bearing 5, described torsion bar shaft 6 is with described to turn round dish 2 coaxial, described torsion bar shaft 6 lower end is fixedly connected with described support set 8 by Fixed latches 11, and described support set 8 is arranged on described crust of the device 12 inside and is fixedly connected with described crust of the device 12;
Described torsion bar shaft 6 comprises the first torsion bar 7 and the second torsion bar 10 two ends, first torsion bar 7 and the second torsion bar 10 junction are provided with the pin hole of horizontal direction, realize the fixing of the first torsion bar 7 and the second torsion bar 10 junction and support set 8 and unclamp by the insertion of movable latch 9 and extracting.
The length of described first torsion bar 7 is L
1, diameter is D
1, the length of the second torsion bar 10 is L
2, diameter is D
2, wherein L
1≠ L
2, D
1≠ D
2.
Describedly turn round the stationary installation that dish 2 upper end is provided with fixing test specimen 1.
Described stationary installation is wishbone or stationary fixture.
Of the present invention pair of torsion bar rotation inerttia device principle of work is:
To turn round dish in surface level, turn over an angle θ, when movable latch is inserted on 9, the first torsion bar 7 reverses θ, and when movable latch 9 is pulled up, the first torsion bar 7 reverses θ
1angle, the second torsion bar 10 reverses θ simultaneously
2angle (θ=θ
1+ θ
2); When dish 2 is turned round in release suddenly, turn round dish to start to make reciprocal torsional movement around Z-axis under the effect of torsion bar shaft 6 countermoment together with test specimen 1, by elasticity (Hooke) law, the countermoment M that torsion bar shaft 6 is reversed and produced is directly proportional to turned over angle θ.
M＝Kθ (1)
Wherein: M-countermoment
The elasticity coefficient of K-torsion bar shaft 6 is constant when material and structure are determined
The angle that θ-torsion bar shaft 6 turns over;
Have according to rigid body fixed-axis rotation law:
Mz＝Jβ (2)
Wherein: Mz-turn round dish 2 together with the bonding force square of test specimen 1 for torsion bar shaft 6
J-turn round dish 2 together with test specimen 1 with the moment of inertia in torsion bar shaft 6 axle center
β-turn round the angular acceleration of dish 2 together with test specimen 1;
Because torsional movement is slack-off gradually, does retarded motion, make ω
2=K/J obtains:
Mz＝Jβ＝-Kθ (3)
β＝d
2θ/dt
2＝-(K/J)θ＝-ω
2θ (4)
:
d
2θ/dt
2＝-ω
2θ (5)
Solve Second-order Linear Homogeneous Differential Equation with Constant Coefficients to obtain:
θ＝C
1cosωt+C
2sinωt (6)
Wherein: A-resonant angle amplitude
ω-angular velocity
-Initial phase;
Above formula represents that torsional movement has the characteristic of harmonic motion, and angular acceleration angular displacement is directly proportional, and direction is contrary.This harmonic motion cycle is:
T＝2π/ω＝2π(K/J)
-1/2(8)
Obtained by formula (7):
J＝K T
2/(4π
2) (9)
The parameter of measurement mechanism of the present invention is calculated as:
When two torsion bar rotation inerttia apparatus design, by the restriction of structure and motion, harmonic period T is at T
1and T
2(T
1< T
2) between, then when the elasticity coefficient of torsion bar shaft 6 is fixed sturcture, elasticity coefficient K is constant, then formula (9) can solve:
J
1＝K T
1 2/(4π
2) (10)
J
2＝K T
2 2/(4π
2) (11)
The measurement range of this rotation inerttia device is: J
1~ J
2(J
1< J
2) between:
1, single torsion bar is measured
When movable latch is inserted on 9, the first torsion bar 7 reverses, and be single torsion bar and measure, now the elasticity coefficient of the first torsion bar 7 is K1, reverses law according to the mechanics of materials:
θ＝ML/GI
P(12)
Wherein: the relative torsional angle of θ-torsion bar
The action length of L-torsion bar
The elastic modulus of G-torsion bar
I
p-xsect polar moment of inertia;
K is known by above formula
1=M/ θ=GI
p1/ L
1, for solid round cross section, I
p=π D
4/ 32,
Release:
K
1＝(πD
1 4G)/(32L
1) (13)
Wherein: D
1-the first torsion bar 7 functional diameter (FD)
L
1-the first torsion bar 7 action length;
Torsion bar shaft 6 can select 65Mn steel to do, modulus of torsion G=80 ~ 84GN/m
2;
Substitute into, by (10), (11) Shi Ke get:
J
11＝K
1T
1 2/(4π
2) (14)
J
12＝K
1T
2 2/(4π
2) (15)
The measurement range of this single torsion bar rotation inerttia device is: J
11~ J
12(J
11< J
12) between;
2, two torsion bar is measured
When movable latch pulls out 9 times, the first torsion bar 7 and the second torsion bar 10 reverse simultaneously, and be two torsion bar and measure, now the elasticity coefficient of the first torsion bar 7 is K
1, the elasticity coefficient of the second torsion bar 10 is K
2, because the first torsion bar 7 and the second torsion bar 10 are tandem layout, two bars should bear same equal moment of torsion when a pre-add moment of torsion, that is:
K
1＝M/θ
1；K
2＝M/θ
2
K
0＝M/θ；θ＝θ
1+θ
2
Thus release
1/K
0＝1/K
1+1/K
2(16)
Wherein: K
0elasticity coefficient (the K of torsion bar after-two torsion bar actings in conjunction
0< K
2< K
1);
Reference above effective elastic constants method obtains:
K
2＝(πD
2 4G)/(32L
2) (17)
D
2-the second torsion bar 10 functional diameter (FD)
L
2-the second torsion bar 10 action length
(13), (17) are substituted into (16) and solve:
K
0＝πG〔D
1D
2〕
4/[32(L
1D
2 4+L
2D
1 4)]
Substitution (10), (11) formula obtain:
J
21＝K
0T
1 2/(4π
2)
J
22＝K
0T
2 2/(4π
2)
The measurement range of this pair of torsion bar rotation inerttia device is: J
21~ J
22(J
21< J
22) between; J
21< J
22< J
11< J
12.
By calculating J above
21< J
22< J
11< J
12the conversion realizing single two torsion bar measurement by plugging movable latch can be found out, when making measuring period scope constant (measuring accuracy is constant), the scope measuring test specimen moment of inertia is improved, that is, a measuring equipment can realize the surveying work of two equipment, reaches original object.
Claims (4)
1. pair torsion bar rotation inerttia device, it is characterized in that, what comprise level turns round dish (2), balancing point (3), groove type photoelectric sensor (4), torsion bar shaft (6), support set (8) and crust of the device (12);
Turn round dish (2) lower end described in described balancing point (3) is fixed on, swing in the groove being fixed on the groove type photoelectric sensor (4) on crust of the device (12);
Described torsion bar shaft (6) turns round dish (2) bottom surface described in being fixed on by bearing (5), described torsion bar shaft (6) with described turn round coil (2) coaxial, described torsion bar shaft (6) lower end is fixedly connected with described support set (8) by Fixed latches (11), and described support set (8) is arranged on described crust of the device (12) inside and is fixedly connected with described crust of the device (12);
Described torsion bar shaft (6) comprises the first torsion bar (7) and the second torsion bar (10) two ends, first torsion bar (7) and the second torsion bar (10) junction are provided with the pin hole of horizontal direction, realize the fixing of the first torsion bar (7) and the second torsion bar (10) junction and support set (8) and unclamp by the insertion of movable latch (9) and extracting.
2. according to claim 1 pair of torsion bar rotation inerttia device, is characterized in that, the length of described first torsion bar (7) is L
1, diameter is D
1, the length of the second torsion bar (10) is L
2, diameter is D
2, wherein L
1≠ L
2, D
1≠ D
2.
3. according to claim 1 pair of torsion bar rotation inerttia device, is characterized in that, described in turn round the stationary installation that dish (2) upper end is provided with fixing test specimen (1).
4. according to claim 3 pair of torsion bar rotation inerttia device, is characterized in that, described stationary installation is wishbone or stationary fixture.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510014954.2A CN104568311B (en) | 2015-01-12 | 2015-01-12 | Double-torsion-bar rotational inertia measuring device |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510014954.2A CN104568311B (en) | 2015-01-12 | 2015-01-12 | Double-torsion-bar rotational inertia measuring device |
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| Publication Number | Publication Date |
|---|---|
| CN104568311A true CN104568311A (en) | 2015-04-29 |
| CN104568311B CN104568311B (en) | 2017-01-25 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104792460A (en) * | 2015-04-17 | 2015-07-22 | 长春理工大学 | Horizontal test method for revolve-body polar moment of inertia |
| CN104792462A (en) * | 2015-05-18 | 2015-07-22 | 长春理工大学 | Method for calibrating and verifying horizontal testing on revolution solid equator rotational inertia |
| CN105157919A (en) * | 2015-09-24 | 2015-12-16 | 长春理工大学 | Device for measuring rotation inertia of three torsion bars |
| CN105444949A (en) * | 2015-11-13 | 2016-03-30 | 西北工业大学 | Moment-of-inertia test bench based on torque sensor |
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| KR20030046628A (en) * | 2001-12-06 | 2003-06-18 | 현대자동차주식회사 | An apparatus for testing moment of inertia |
| CN202018361U (en) * | 2011-03-15 | 2011-10-26 | 郑州机械研究所 | Double coincidence torsion bar mechanism applied to rotational inertia measurement |
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2015
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Patent Citations (4)
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| KR20030046628A (en) * | 2001-12-06 | 2003-06-18 | 현대자동차주식회사 | An apparatus for testing moment of inertia |
| CN202018361U (en) * | 2011-03-15 | 2011-10-26 | 郑州机械研究所 | Double coincidence torsion bar mechanism applied to rotational inertia measurement |
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104792460A (en) * | 2015-04-17 | 2015-07-22 | 长春理工大学 | Horizontal test method for revolve-body polar moment of inertia |
| CN104792462A (en) * | 2015-05-18 | 2015-07-22 | 长春理工大学 | Method for calibrating and verifying horizontal testing on revolution solid equator rotational inertia |
| CN105157919A (en) * | 2015-09-24 | 2015-12-16 | 长春理工大学 | Device for measuring rotation inertia of three torsion bars |
| CN105157919B (en) * | 2015-09-24 | 2017-10-03 | 长春理工大学 | Three torsion bar rotation inerttia devices |
| CN105444949A (en) * | 2015-11-13 | 2016-03-30 | 西北工业大学 | Moment-of-inertia test bench based on torque sensor |
| CN105444949B (en) * | 2015-11-13 | 2018-03-30 | 西北工业大学 | A kind of rotary inertia testboard based on torque sensor |
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| Publication number | Publication date |
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| CN104568311B (en) | 2017-01-25 |
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