CN105334041A - Measuring instrument for stiffness coefficient of spring - Google Patents
Measuring instrument for stiffness coefficient of spring Download PDFInfo
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- CN105334041A CN105334041A CN201510887528.XA CN201510887528A CN105334041A CN 105334041 A CN105334041 A CN 105334041A CN 201510887528 A CN201510887528 A CN 201510887528A CN 105334041 A CN105334041 A CN 105334041A
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- spring
- funnel
- tested
- fixed pulley
- stiffness
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Abstract
The invention discloses a measuring instrument for the stiffness coefficient of a spring. The measuring instrument comprises a spring force measuring device, a graduated scale, a first fixed pulley, a first hopper, a second fixed pulley, a second hopper, a salt groove and the measured spring. One end of the spring force measuring device is fixed, the other end of the spring force measuring device is connected with the second hopper through the second fixed pulley, one end of the measured spring is fixed to one end of the graduated scale, the other end of the measured spring is connected with the first hopper through the first fixed pulley, the first hopper is located over the second hopper, and the salt groove is located under the second hopper. Through observing changes of edible salt content in the hoppers, the elongation of the spring is controlled, and in the teaching process, the device can be directly utilized for verifying a formula of the stiffness coefficient of the spring after springs are connected in series or in parallel; the experiment method enables students to master knowledge principles easily in the teaching process, facilitates mastering of scientific knowledge for the students and has application and popularization value.
Description
Technical field
The present invention relates to a kind of physical experimental method, particularly relate to a kind of measuring device of spring stiffness coefficient.
Background technology
Stiffness factor, the i.e. coefficient of stiffiness (elasticity coefficient).When it describes unit deformation quantity produce the size of elastic force.K value is large, illustrates that the power that deformation unit length needs is large, spring " tough " in other words.Stiffness factor is also known as stiffness coefficient or the coefficient of stiffiness.Stiffness factor is numerically equal to elastic force during spring elongates (or shortening) unit length.In prior art, the stiffness factor of test spring comparatively bothers, intricate operation, and efficiency is low, not accurate enough, therefore, there is room for improvement.
Summary of the invention
Object of the present invention is just to provide a kind of measuring device of spring stiffness coefficient to solve the problem.
The present invention is achieved through the following technical solutions above-mentioned purpose:
A kind of measuring device of spring stiffness coefficient of the present invention, comprise spring dynamometer, rule, first fixed pulley, first funnel, second fixed pulley, second funnel, salt bath and tested spring, the ergographic one end of described spring is fixed, the ergographic other end of described spring is by being connected between described second fixed pulley with described second funnel, one end of described rule is fixed in one end of described tested spring, the other end of described tested spring is connected with described first funnel by described first fixed pulley, described first funnel is positioned at directly over described second funnel, described salt bath is positioned at immediately below described second funnel, described first funnel and described second funnel are provided with switch.
The method of testing of measuring device of spring stiffness coefficient of the present invention, comprises the following steps:
(1) after tested spring being fixed, spring dynamometer is returned to zero, the first funnel and the second funnel are closed simultaneously;
(2) any amount salt is put into the first funnel, write down the rule reading that tested spring elongates amount is corresponding;
(3) open the first funnel, part salt is flowed in the second funnel, closes the first funnel, record scale value X2 and the ergographic numerical value F1 of spring of tested spring simultaneously; Open the second funnel, salt in the second funnel has all been flowed and closes the second funnel again;
(4) △ X1=X2-X1 is calculated by " X1, X2 ", K1=F1/ △ X1;
(5) repeat above-mentioned steps and can obtain K2=F2/ △ X2, K3=F3/ △ X3;
(6) then the stiffness factor of tested spring is: KA=(K1+K+K3)=(F1/ △ X1+F2/ △ X2+F3/ △ X3)/3;
(7) tested spring is changed to the tested spring of another one, the step of duplicate measurements stiffness factor, stiffness factor KB=(the K1+K2+K3)/3=(F1/ △ X1+F2/ △ X2+F3/ △ X3)/3 of another tested spring can be obtained;
(8) by two tested spring series connection, repeat above step, the equivalent spring stiffness factor K obtaining two tested springs goes here and there;
(9) the rear equivalent stiffness coefficient formula 1/K string=1/KA+1/KB of spring series connection is verified;
(10) two tested springs are in parallel, repeat above step, the parallel connection obtaining two tested springs afterwards total spring stiffness factor K also;
(11) verify the stiffness factor formula K of equivalence after spring parallel connection also=KA+KB.
Beneficial effect of the present invention is:
The present invention is a kind of measuring device of spring stiffness coefficient, compared with prior art, the present invention carrys out control spring elongation by the size of experiment situation of change of observing in funnel, this process make use of reverse thinking can fully allow classmate grasp this kind of theory, " conversion " thought has been used to change reduction into recruitment cleverly, power measured by direct utilization weight beam, this device can be directly utilized to verify the formula of spring connection in series-parallel rear spring stiffness factor in teaching process, experimental technique of the present invention student can be made in teaching to be easy to grasp principle of knowledge, be conducive to students scientific knowledge, there is the value applied.
Accompanying drawing explanation
Fig. 1 is structural representation of the present invention.
In figure: 1-spring dynamometer, 2-rule, 3-first fixed pulley, 4-first funnel, 5-second fixed pulley, 6-second funnel, 7-salt bath, the tested spring of 8-.
Embodiment
Below in conjunction with accompanying drawing, the invention will be further described:
As shown in Figure 1: a kind of measuring device of spring stiffness coefficient of the present invention, comprise spring dynamometer 1, rule 2, first fixed pulley 3, first funnel 4, second fixed pulley 5, second funnel 6, salt bath 7 and tested spring 8, one end of described spring dynamometer 1 is fixed, the other end of described spring dynamometer 1 is by being connected between described second fixed pulley 5 with described second funnel 6, one end of described rule 2 is fixed in one end of described tested spring 8, the other end of described tested spring 8 is connected with described first funnel 4 by described first fixed pulley 3, described first funnel 4 is positioned at directly over described second funnel 6, described salt bath 7 is positioned at immediately below described second funnel 6, described first funnel 4 and described second funnel 6 are provided with switch.
The method of testing of measuring device of spring stiffness coefficient of the present invention, comprises the following steps:
(1) after tested spring being fixed, spring dynamometer 1 is returned to zero, the first funnel 4 and the second funnel 6 are closed simultaneously;
(2) any amount salt is put into the first funnel 4, write down rule 2 reading that tested spring 8 elongation is corresponding;
(3) open the first funnel 4, part salt is flowed in the second funnel 6, closes the first funnel 4, record the scale value X2 of tested the spring 8 and numerical value F1 of spring dynamometer 1 simultaneously; Open the second funnel 6, salt in the second funnel 6 has all been flowed and closes the second funnel 6 again;
(4) △ X1=X2-X1 is calculated by " X1, X2 ", K1=F1/ △ X1;
(5) repeat above-mentioned steps and can obtain K2=F2/ △ X2, K3=F3/ △ X3;
(6) then the stiffness factor of tested spring 8 is: KA=(K1+K+K3)=(F1/ △ X1+F2/ △ X2+F3/ △ X3)/3;
(7) tested spring is changed to the tested spring 8 of another one, the step of duplicate measurements stiffness factor, stiffness factor KB=(the K1+K2+K3)/3=(F1/ △ X1+F2/ △ X2+F3/ △ X3)/3 of another tested spring 8 can be obtained;
(8) connected by two tested springs 8, repeat above step, the equivalent spring stiffness factor K obtaining two tested springs 8 goes here and there;
(9) the rear equivalent stiffness coefficient formula 1/K string=1/KA+1/KB of spring series connection is verified;
(10) two tested springs 8 are in parallel, repeat above step, the parallel connection obtaining two tested springs 8 afterwards total spring stiffness factor K also;
(11) verify the stiffness factor formula K of equivalence after spring parallel connection also=KA+KB.
DATA REASONING
The stiffness factor K of spring A
a
The stiffness factor K of table 1 spring A
a
K
A＝(K
1+K
2+K
3)/3＝(F
1/△X
1+F
2/△X
2+F
3/△X
3)/3＝0.377N/cm
The stiffness factor K of spring B
b
The stiffness factor K of table 2 spring B
b
K
B＝(K
1+K
2+K
3)/3＝(F
1/△X
1+F
2/△X
2+F
3/△X
3)/3＝0.231N/cm
Stiffness factor K after series connection
string
Stiffness factor K after table 3 series connection
string
K
string=(K
1+ K
2+ K
3)/3=(F
1/ △ X
1+ F
2/ △ X
2+ F
3/ △ X
3)/3=0.143N/cm
And according to formula 1/K
string (theory)=1/K
a+ 1/K
bobtain K
string (theory)=0.141N/cm
K
string (theory)≈ K
string
So this formula is correct in experimental error.
Stiffness factor K after parallel connection
and
Stiffness factor K after table 4 parallel connection
and
K
and=(K
1+ K
2+ K
3)/3=(F
1/ △ X
1+ F
2/ △ X
2+ F
3/ △ X
3)/3=0.604N/cm
And according to formula K
and (theory)=K
a+ K
bobtain K
and (theory)=0.608N/cm
K
and (theory)≈ K
and
So this formula is correct in experimental error.
More than show and describe ultimate principle of the present invention and principal character and advantage of the present invention.The technician of the industry should understand; the present invention is not restricted to the described embodiments; what describe in above-described embodiment and instructions just illustrates principle of the present invention; without departing from the spirit and scope of the present invention; the present invention also has various changes and modifications, and these changes and improvements all fall in the claimed scope of the invention.Application claims protection domain is defined by appending claims and equivalent thereof.
Claims (2)
1. a measuring device of spring stiffness coefficient, it is characterized in that: comprise spring dynamometer, rule, first fixed pulley, first funnel, second fixed pulley, second funnel, salt bath and tested spring, the ergographic one end of described spring is fixed, the ergographic other end of described spring is by being connected between described second fixed pulley with described second funnel, one end of described rule is fixed in one end of described tested spring, the other end of described tested spring is connected with described first funnel by described first fixed pulley, described first funnel is positioned at directly over described second funnel, described salt bath is positioned at immediately below described second funnel, described first funnel and described second funnel are provided with switch.
2. a method of testing for measuring device of spring stiffness coefficient as claimed in claim 1, is characterized in that, comprises the following steps:
(1) after tested spring being fixed, spring dynamometer is returned to zero, the first funnel and the second funnel are closed simultaneously;
(2) any amount salt is put into the first funnel, write down the rule reading that tested spring elongates amount is corresponding;
(3) open the first funnel, part salt is flowed in the second funnel, closes the first funnel, record scale value X2 and the ergographic numerical value F1 of spring of tested spring simultaneously; Open the second funnel, salt in the second funnel has all been flowed and closes the second funnel again;
(4) △ X1=X2-X1 is calculated by " X1, X2 ", K1=F1/ △ X1;
(5) repeat above-mentioned steps and can obtain K2=F2/ △ X2, K3=F3/ △ X3;
(6) then the stiffness factor of tested spring is: KA=(K1+K+K3)=(F1/ △ X1+F2/ △ X2+F3/ △ X3)/3;
(7) tested spring is changed to the tested spring of another one, the step of duplicate measurements stiffness factor, stiffness factor KB=(the K1+K2+K3)/3=(F1/ △ X1+F2/ △ X2+F3/ △ X3)/3 of another tested spring can be obtained;
(8) by two tested spring series connection, repeat above step, the equivalent spring stiffness factor K obtaining two tested springs goes here and there;
(9) the rear equivalent stiffness coefficient formula 1/K string=1/KA+1/KB of spring series connection is verified;
(10) two tested springs are in parallel, repeat above step, the parallel connection obtaining two tested springs afterwards total spring stiffness factor K also;
(11) verify the stiffness factor formula K of equivalence after spring parallel connection also=KA+KB.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510887528.XA CN105334041B (en) | 2015-12-06 | 2015-12-06 | A kind of measurement method of measuring device of spring stiffness coefficient |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510887528.XA CN105334041B (en) | 2015-12-06 | 2015-12-06 | A kind of measurement method of measuring device of spring stiffness coefficient |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN105334041A true CN105334041A (en) | 2016-02-17 |
| CN105334041B CN105334041B (en) | 2019-09-13 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108877423A (en) * | 2018-07-27 | 2018-11-23 | 王小兰 | It is a kind of for verifying the device and method of equivalent elastic modulus |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN202331996U (en) * | 2011-11-04 | 2012-07-11 | 湖南工业大学 | Measuring device of spring stiffness coefficient |
| CN202433166U (en) * | 2011-11-30 | 2012-09-12 | 长城汽车股份有限公司 | Modulus of elasticity measuring device for spring |
| CN204463605U (en) * | 2015-02-06 | 2015-07-08 | 陈泽明 | Archimedes principle quadruple inspection demonstrator |
| CN205808677U (en) * | 2015-12-06 | 2016-12-14 | 商洛学院 | A kind of measuring device of spring stiffness coefficient |
-
2015
- 2015-12-06 CN CN201510887528.XA patent/CN105334041B/en not_active Expired - Fee Related
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN202331996U (en) * | 2011-11-04 | 2012-07-11 | 湖南工业大学 | Measuring device of spring stiffness coefficient |
| CN202433166U (en) * | 2011-11-30 | 2012-09-12 | 长城汽车股份有限公司 | Modulus of elasticity measuring device for spring |
| CN204463605U (en) * | 2015-02-06 | 2015-07-08 | 陈泽明 | Archimedes principle quadruple inspection demonstrator |
| CN205808677U (en) * | 2015-12-06 | 2016-12-14 | 商洛学院 | A kind of measuring device of spring stiffness coefficient |
Non-Patent Citations (2)
| Title |
|---|
| 刘艳峰: "串并联弹簧等效劲度系数的实验研究", 《延安大学学报（自然科学版）》 * |
| 龙昱含等: "基于计算机实测技术测量弹簧劲度系数的实验设计", 《技术物理教学》 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108877423A (en) * | 2018-07-27 | 2018-11-23 | 王小兰 | It is a kind of for verifying the device and method of equivalent elastic modulus |
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| Publication number | Publication date |
|---|---|
| CN105334041B (en) | 2019-09-13 |
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