CN107748022A - A kind of flexible membrane strain measuring method based on frequency detecting - Google Patents

A kind of flexible membrane strain measuring method based on frequency detecting Download PDF

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Publication number
CN107748022A
CN107748022A CN201710946075.2A CN201710946075A CN107748022A CN 107748022 A CN107748022 A CN 107748022A CN 201710946075 A CN201710946075 A CN 201710946075A CN 107748022 A CN107748022 A CN 107748022A
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flexible membrane
frequency
disc
plane vibration
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CN107748022B (en
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陈建魁
马亮
尹周平
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Huazhong University of Science and Technology
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Huazhong University of Science and Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01LMEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
    • G01L1/00Measuring force or stress, in general
    • G01L1/10Measuring force or stress, in general by measuring variations of frequency of stressed vibrating elements, e.g. of stressed strings
    • G01L1/103Measuring force or stress, in general by measuring variations of frequency of stressed vibrating elements, e.g. of stressed strings optical excitation or measuring of vibrations

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Force Measurement Appropriate To Specific Purposes (AREA)
  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
  • Length Measuring Devices By Optical Means (AREA)

Abstract

The invention belongs to tension force detection technique association area, and a kind of flexible membrane strain measuring method based on frequency detecting is disclosed, including:Using laser displacement sensor, test the speed code-disc and photoelectric sensor to perform detection in real time to the order frequency of flexible membrane out-of-plane vibration first in motion process, movement velocity respectively;Based on the algorithmic formula after optimization, the corresponding relation between flexible membrane out-of-plane vibration and flexible layer tension, movement velocity is obtained, and more accurate real-time tension value is calculated.The invention also discloses corresponding measuring system.Pass through the present invention, the non-contact measurement of flexible layer tension in reel-to-reel manufacture can not only be realized, film surface kinetics behavior will not be had an impact in operating process, and only need to use a small amount of element in whole measurement process, the existing layout of equipment need not be altered or modified, tonometry that is accordingly more quick and easy compared with prior art and accurately realizing optional position on reel-to-reel production line.

Description

A kind of flexible membrane strain measuring method based on frequency detecting
Technical field
The invention belongs to tension force detection technique association area, more particularly, to a kind of flexible membrane based on frequency detecting Strain measuring method.
Background technology
Reel-to-reel manufacturing technology is widely used in the production such as paper, flexible electronic, Film laminated, wireless radio frequency identification mark In manufacture, tension force detection technique therein is to ensure the key factor of product quality.During overtension, flexible membrane is easily deformed very To fracture;When tension force is too small, flexible membrane easily produces relaxation.Tension force detection is to implement the important prerequisite of tension force.At present, roll up Make the middle equipment speed of service to rolling and improving constantly, the thickness of flexible film material also more and more thinner, it is necessary to using increasingly complex Tension Control Strategy ensure the stabilization of flexible layer tension, so as to also propose higher requirement to tension force detection, it would be desirable to Realize direct or indirect tonometry in enough optional positions of flexible membrane in reel-to-reel.
Tension examination way of the prior art is usually that force cell is installed on idler roller, passes through flexible membrane and dynamometry The measurement of flexible layer tension is realized in the effect of sensor.This metering system is fast, conveniently, but actual measurement process In, jockey pulley complicated integral structure, volume is larger, can occupy certain space during installation, can not flexible arrangement, hold in operating process Easily there is all kinds of phenomena of the failure;Meanwhile the measuring method of this contact can produce to the dynamic behavior on flexible membrane surface Influence.Some contactless measuring methods are it is also proposed at present, for example using the device of tension observer etc, but this side Method to operation require it is higher, while and need to establish the complex mathematical model of whole system, treatment effeciency is relatively low.Correspondingly, originally Field, which is needed badly, makes further improvement to this, preferably to meet the technological requirement increasingly improved at present.
The content of the invention
For the disadvantages described above or Improvement requirement of prior art, the invention provides a kind of flexible membrane based on frequency detecting Strain measuring method, wherein do not need only a small amount of element expeditiously to measure the tension measurement for obtaining higher precision, And the modularization and densification of single unit system can be realized, can any region of the flexible arrangement in reel-to-reel manufacturing process, Significantly improve the Discussing Convenience of measurement operation;In addition, the strain measuring method can realize film during tonometry The high efficient and flexible measurement of feed speed, while the measurement knot that optimization Measurement Algorithm proposed by the present invention obtains higher precision can be combined Fruit, it is therefore particularly suitable for the flexible membrane delivery application occasion of flexible electronic etc.
To achieve the above object, according to one aspect of the present invention, there is provided a kind of flexible membrane based on frequency detecting Force measuring method, it is characterised in that this method comprises the following steps:
Step 1:For the flexible membrane as measurement object, laser displacement sensor is arranged in the top of flexible membrane, together When by the code-disc that tests the speed for being connected with photoelectric sensor be arranged in perform the flexible membrane conveying live-roller near;In addition, the laser Displacement transducer and the photoelectric sensor each continue signal and are connected to same signal acquisition process module;
Step 2:Reality is performed using out-of-plane vibration displacement of the laser displacement sensor to the flexible membrane in motion process When measure, signal acquisition process module synchronous acquisition out-of-plane vibration displacement signal, through Short Time Fourier Transform or quick Fourier transformation processing draws corresponding film vibration frequency, and then filtered processing filters out forcing frequency while retained certainly By vibration frequency, the first order frequency of out-of-plane vibration f of flexible membrane is thus obtained1
At the same time, the live-roller in motion process is sensed in real time using the code-disc that tests the speed, the light Accordingly the movement velocity V of flexible membrane is synchronously calculated according to below equation (one) in electric transducer:
Wherein, N is represented in a measurement period, the triggering times of the photoelectric sensor;Δ t represents the photoelectric transfer Total time used in sensor triggering n times, unit is the second;R tests the speed the radius of code-disc itself described in representing, unit is rice;θ expressions pair For two adjacent teeths to test the speed on code-disc, central angle that their ipsilateral penumbras are collectively forming;
Step 3:The first order frequency of out-of-plane vibration f based on flexible membrane derived above1, movement velocity V, continue according to Below equation (two) calculates the real-time tension value T for obtaining flexible membrane, thus completes overall tonometry process:
Wherein, a1And a2Represent default two constant coefficients, geometry that their value can be based on flexible membrane and material parameter come Demarcated and set according to field experiment.
As it is further preferred that in step 1, the measurement head of the laser displacement sensor is perpendicular to flexible membrane Upper surface, and its measurement position is preferably placed at flexible membrane direction of feed span a quarter, the position of width center line Put;The photoelectric sensor is preferably connected to the top of the code-disc that tests the speed.
As the upper of the voltage change curve for it is further preferred that in step 2, preferably choosing the photoelectric sensor Rise along calculating triggering times.
As it is further preferred that the flexible membrane is for example flexible electronic.
It is another aspect of this invention to provide that additionally provide a kind of corresponding flexible membrane tonometry system based on frequency detecting System, it is characterised in that the system includes laser displacement sensor, the code-disc that tests the speed, photoelectric sensor and signal acquisition process module, Wherein:
The laser displacement sensor is arranged to its measurement head perpendicular to the upper surface of flexible membrane, and is adopted with the signal Collection processing module keeps signal to be connected;The laser displacement sensor is used for the out-of-plane vibration displacement to the flexible membrane in motion process Measurement in real time is performed, the signal acquisition process module is then for the synchronous acquisition out-of-plane vibration displacement signal, through in Fu in short-term Leaf transformation or Fast Fourier Transform (FFT) processing draw corresponding film vibration frequency, and then filtered processing filters out forced vibration frequency Rate retains free running frequency simultaneously, thus obtains the first order frequency of out-of-plane vibration f of flexible membrane1
The code-disc that tests the speed is disposed near the live-roller for performing flexible membrane conveying, and in its top installation Photoelectric sensor is stated, then signal is connected to the signal acquisition process module;The code-disc that tests the speed is used in motion process Live-roller is sensed in real time, and the movement velocity V of flexible membrane is then synchronously calculated in the photoelectric sensor, is then forwarded to described Signal acquisition process module;
The signal acquisition process module is based on the first order frequency of the out-of-plane vibration f received1With movement velocity V, The real-time tension value T of flexible membrane is obtained for being calculated according to following equation, thus completes overall tonometry process:
Wherein, a1And a2Represent default two constant coefficients, geometry that their value can be based on flexible membrane and material parameter come Demarcated and set according to field experiment.
As it is further preferred that the system preferably also includes human-computer interaction module, the human-computer interaction module preferably prestores There is the relationship for reflecting the relation between different flexible layer tensions and its out-of-plane vibration, movement velocity, and for defeated Enter the multiple parameters including flexible membrane geometric parameter and material parameter.
In general, by the contemplated above technical scheme of the present invention compared with prior art, mainly possess following Technological merit:
1st, by the present invention, only need laser displacement sensor and photoelectric sensor etc. a small amount of during whole stress measurement Element, sensor measurement module small volume, space is not take up, it is easy to install and use, without being adjusted to existing conveying layout It is whole, can any region of the flexible arrangement in reel-to-reel manufacture, significantly improve the Discussing Convenience of measurement;
2nd, processing further also is optimized to the algorithmic formula of stress measurement in the present invention, actual test shows not only The high efficient and flexible measurement of film feed speed can be realized during tonometry, and can be obtained compared with existing model The tension measurement of higher precision;
3rd, the mode of strain measuring method instrument more compact and reasonable of the invention is realized to the non-contact of flexible layer tension Formula measures, and in measurement process, measurement apparatus not with flexible membrane contacts, will not produce to the dynamic behavior on flexible membrane surface completely Influence, and then flexible membrane actual tension can be more accurately measured, be therefore particularly suitable for the flexible membrane of flexible electronic etc Convey occasion.
Brief description of the drawings
Fig. 1 is the application scenarios and operation principle schematic diagram according to the strain measuring method constructed by the present invention;
Fig. 2 is more specifically to show that laser displacement sensor performs the schematic flow sheet of signal acquisition process;
Fig. 3 is the technique for the exemplary flexible membrane strain measuring method based on frequency detecting for being shown as the present invention Flow chart.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, it is right below in conjunction with drawings and Examples The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and It is not used in the restriction present invention.As long as in addition, technical characteristic involved in each embodiment of invention described below Conflict can is not formed each other to be mutually combined.
Fig. 1 is the application scenarios and operation principle schematic diagram according to the strain measuring method constructed by the present invention, and Fig. 3 is to use In the process chart of the exemplary flexible membrane strain measuring method for being shown as the present invention.As shown in figure 1, for as measurement The flexible membrane of object, support and conveying are performed by multiple live-rollers in its lower surface, the present invention by tensile force measuring principle and The redesign and adjustment of specific metering system, a small amount of several components accordingly can be only needed efficiently, accurately to complete whole Individual tonometry process, and film surface kinetics behavior will not being had an impact in operating process, at the same without changing or The existing layout of adjusting device.
Specifically, the flexible membrane tension measuring system mainly includes laser displacement sensor 1, test the speed code-disc 2, photoelectric transfer Sensor 3 and the grade component of signal acquisition process module 4, will carry out specific explanations explanation one by one to it below.
Laser displacement sensor 1 is arranged to its measurement head and is set perpendicular to the upper surface of flexible membrane, its measurement head For perpendicular to flexible membrane surface, measurement position is preferably placed at flexible membrane span a quarter opening position, and and signal acquisition process Module 4 keeps signal to be connected.The effect of the laser displacement sensor is, the out-of-plane vibration position to the flexible membrane in motion process Move and perform measurement in real time, the signal acquisition module 4 is then for the synchronous acquisition out-of-plane vibration displacement signal, and handle acquisition phase The order frequency of out-of-plane vibration first answered.In other words, as shown in Figure 2, the data that laser displacement sensor obtains can be by believing for example The operations such as analog acquisition, A/D conversions are first carried out in number acquisition processing module 4, then through Short Time Fourier Transform or quick Fu In leaf transformation processing calculate frequency, the filtered processing of the frequency being calculated finally is filtered out into forcing frequency while protected Free running frequency is stayed, is derived from the first order frequency of out-of-plane vibration f of flexible membrane1.The detailed process and principle are this area It is known, therefore no longer excessively repeat herein.
The code-disc 2 that tests the speed is disposed near the live-roller for performing flexible membrane conveying, and photoelectricity is provided with above it Sensor 3, then signal be connected to the signal acquisition process module 4.The code-disc 2 that tests the speed is used for the live-roller in motion process Sensed in real time, the movement velocity V of flexible membrane is then synchronously calculated in the photoelectric sensor 3, is then forwarded to signal acquisition Processing module 4.
More specifically, the movement velocity V of flexible membrane is preferably obtained using below equation to calculate:
Wherein, N is represented in a measurement period, the triggering times of the photoelectric sensor;Δ t represents the photoelectric transfer Total time used in sensor triggering n times, unit is the second;R tests the speed the radius of code-disc itself described in representing, unit is rice;θ expressions pair For two adjacent teeths to test the speed on code-disc, central angle that their ipsilateral penumbras are collectively forming.
According to the first order frequency of out-of-plane vibration f that flexible membrane is respectively obtained with upper type1After movement velocity V, this Also further to the mathematic(al) representation namely flexible membrane between flexible membrane out-of-plane vibration and flexible layer tension, movement velocity in invention Tension force calculation formula is made that research and design.Specifically, a personal-machine interactive module for example can be set in the present invention, and passes through It establishes the mathematical relationship between the order frequency of flexible membrane out-of-plane vibration first and tension force, movement velocity.In operation, according to volume To volume conveying equipment layout and flexible film type, it is first determined flexible membrane geometric parameter and material parameter, including flexible membrane span, Width, thickness, density, modulus of elasticity and Poisson's ratio etc., these parameters are made to substitute into flexible membrane out-of-plane vibration kinetics equation, adopted With numerical computations method for solving, the out-of-plane vibration frequency under differential tension and speed can obtain.Pass through data above and fitting behaviour Make, can finally obtain tension force calculation formula as follows:
Wherein, a1And a2Represent default two constant coefficients, geometry that their value can be based on flexible membrane and material parameter come Setting;f1Represent the rank of out-of-plane vibration first above by laser displacement sensor and the available flexible membrane of signal acquisition module Frequency;V represents the movement velocity for the flexible membrane that can be calculated above by test the speed code-disc and photoelectric sensor;T represents to wait to ask Flexible membrane real-time tension value.
It is another aspect of this invention to provide that the flexible membrane strain measuring method based on frequency detecting accordingly is additionally provided, This method comprises the following steps:
Step 1:For the flexible membrane as measurement object, laser displacement sensor is arranged in the top of flexible membrane, together When by the code-disc that tests the speed for being connected with photoelectric sensor be arranged in perform the flexible membrane conveying live-roller near;In addition, the laser Displacement transducer and the photoelectric sensor each continue signal and are connected to same signal acquisition process module;
Step 2:Reality is performed using out-of-plane vibration displacement of the laser displacement sensor to the flexible membrane in motion process When measure, signal acquisition process module synchronous acquisition out-of-plane vibration displacement signal, through Short Time Fourier Transform or quick Fourier transformation processing draws corresponding film vibration frequency, and then filtered processing filters out forcing frequency while retained certainly By vibration frequency, the first order frequency of out-of-plane vibration f of flexible membrane is thus obtained1
At the same time, the live-roller in motion process is sensed in real time using the code-disc that tests the speed, the light Accordingly the movement velocity V of flexible membrane is synchronously calculated according to below equation (one) in electric transducer:
Wherein, N is represented in a measurement period, the triggering times of the photoelectric sensor;Δ t represents the photoelectric transfer Total time used in sensor triggering n times, unit is the second;R tests the speed the radius of code-disc itself described in representing, unit is rice;θ expressions pair For two adjacent teeths to test the speed on code-disc, central angle that their ipsilateral penumbras are collectively forming;
Step 3:The first order frequency of out-of-plane vibration f based on flexible membrane derived above1, movement velocity V, continue according to Below equation (two) calculates the real-time tension value T for obtaining flexible membrane, thus completes overall tonometry process:
Wherein, a1And a2Represent default two constant coefficients, geometry that their value can be based on flexible membrane and material parameter come Setting.
Process above process is more specifically explained below with reference to Fig. 3.
As shown in figure 3, first, flexible membrane geometry and material parameter are determined according to duty requirements, and example is such as by described Human-computer interaction module inputs following parameters, including flexible membrane span L, width a, thickness h, density p, elastic modulus E and Poisson's ratio μ, numerical computations can obtain the first rank natural frequency of vibration under differential tension and speed, are fitted by data and obtain flexible membrane vibration frequency Mathematic formula between rate and tension force, speed, the formula can prestore to be more efficiently used to calculate flexible layer tension;
Then, laser displacement sensor is arranged in above motion flexibility film, measurement head is perpendicular to flexible membrane surface, measurement Position is preferably placed at flexible membrane span a quarter opening position;Photoelectric sensor is arranged on above the roller code-disc that tests the speed, code-disc is worn Cross photoelectric sensor;In flexible membrane motion process, start to measure flexible membrane out-of-plane vibration displacement and flexible membrane movement velocity;
Then, signal acquiring processing system collection flexible membrane vibration displacement signal, after filtering processing filtering forced vibration Frequency, then handle through Short Time Fourier Transform to obtain flexible membrane free running frequency;Gathered simultaneously by photo-sensor signal Processing obtains flexible membrane movement velocity;
Finally, the flexible membrane free running frequency and movement velocity obtained with reference to above-mentioned measurement, it is public to substitute into the fitting to prestore In formula, it high responsively can quickly calculate and obtain flexible layer tension, thus complete overall measurement process.
To sum up, do not need only a small amount of element can high efficiency according to the flexible membrane measuring method constructed by the present invention and system Ground measurement obtains the tension measurement of higher precision, and can realize the modularization and densification of single unit system, can be flexible Any region being arranged in reel-to-reel manufacturing process, significantly improve the Discussing Convenience of measurement operation;In addition, the tonometry side Method can realize the high efficient and flexible measurement of film feed speed during tonometry, while can combine proposed by the present invention Optimize the measurement result that Measurement Algorithm obtains higher precision, be therefore particularly suitable for the flexible membrane delivery application of flexible electronic etc Occasion.
As it will be easily appreciated by one skilled in the art that the foregoing is merely illustrative of the preferred embodiments of the present invention, not to The limitation present invention, all any modification, equivalent and improvement made within the spirit and principles of the invention etc., all should be included Within protection scope of the present invention.

Claims (5)

1. a kind of flexible membrane strain measuring method based on frequency detecting, it is characterised in that this method comprises the following steps:
Step 1:For the flexible membrane as measurement object, laser displacement sensor (1) is arranged in the top of flexible membrane, together When will be connected with photoelectric sensor (3) the code-disc that tests the speed (2) be arranged in perform the flexible membrane conveying live-roller near;In addition, Each signal is connected to same signal acquisition process module (4) for the laser displacement sensor (1) and the photoelectric sensor (3);
Step 2:Reality is performed using out-of-plane vibration displacement of the laser displacement sensor (1) to the flexible membrane in motion process When measure, signal acquisition process module (4) synchronous acquisition out-of-plane vibration displacement signal, through Short Time Fourier Transform or fast Fast Fourier transformation processing draws corresponding film vibration frequency, and then filtered processing filters out forcing frequency while retained Free running frequency, thus obtain the first order frequency of out-of-plane vibration f of flexible membrane1
At the same time, the live-roller in motion process is sensed in real time using the code-disc that tests the speed (2), the photoelectricity Accordingly the movement velocity V of flexible membrane is synchronously calculated according to below equation (one) in sensor (3):
Wherein, N is represented in a measurement period, the triggering times of the photoelectric sensor;Δ t represents the photoelectric sensor The total time used in n times is triggered, unit is the second;R tests the speed the radius of code-disc itself described in representing, unit is rice;θ is represented for institute For stating two adjacent teeths to test the speed on code-disc, central angle that their ipsilateral penumbras are collectively forming;
Step 3:The first order frequency of out-of-plane vibration f based on flexible membrane derived above1, movement velocity V, continue according to following public affairs Formula (two) calculates the real-time tension value T for obtaining flexible membrane, thus completes overall tonometry process:
Wherein, a1And a2Default two constant coefficients are represented, the geometry and material parameter that their value can be based on flexible membrane are come basis Field experiment is demarcated and set.
2. flexible membrane strain measuring method as claimed in claim 1, it is characterised in that in step 1, the laser displacement The measurement head of sensor is perpendicular to the upper surface of flexible membrane, and its measurement position is preferably placed at the flexible membrane direction of feed span The position of a quarter, width center line;The photoelectric sensor is preferably connected to the top of the code-disc that tests the speed.
3. the flexible membrane strain measuring method as described in any one of claim 1 or 2, it is characterised in that excellent in step 2 Choosing chooses the rising edge of the voltage change curve of the photoelectric sensor to calculate triggering times.
4. a kind of flexible membrane tension measuring system based on frequency detecting, it is characterised in that the system senses including laser displacement Device (1), the code-disc that tests the speed (2), photoelectric sensor (3) and signal acquisition process module (4), wherein:
The laser displacement sensor (1) is arranged to its measurement head perpendicular to the upper surface of flexible membrane, and is adopted with the signal Collection module (4) keeps signal to be connected;The laser displacement sensor is used for the out-of-plane vibration displacement to the flexible membrane in motion process Measurement in real time is performed, the signal acquisition process module (4) is then for the synchronous acquisition out-of-plane vibration displacement signal, through Fu in short-term In leaf transformation or Fast Fourier Transform (FFT) processing draw corresponding to film vibration frequency, then filtered processing filters out forced vibration Frequency retains free running frequency simultaneously, thus obtains the first order frequency of out-of-plane vibration f of flexible membrane1
The code-disc that tests the speed (2) is disposed near the live-roller for performing flexible membrane conveying, and in its top installation Photoelectric sensor (3) is stated, then signal is connected to the signal acquisition process module (4);The code-disc that tests the speed is used for being moved through Live-roller in journey is sensed in real time, and the movement velocity V of flexible membrane is then synchronously calculated in the photoelectric sensor (3), then Send to the signal acquisition process module (4);
The signal acquisition process module (4) is based on the first order frequency of the out-of-plane vibration f received1With movement velocity V, use In the real-time tension value T that flexible membrane is obtained according to following equation calculating calculating, overall tonometry process is thus completed:
<mrow> <msub> <mi>f</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>a</mi> <mn>1</mn> </msub> <msqrt> <mi>T</mi> </msqrt> <mo>+</mo> <msub> <mi>a</mi> <mn>2</mn> </msub> <mfrac> <msup> <mi>V</mi> <mn>2</mn> </msup> <msqrt> <mi>T</mi> </msqrt> </mfrac> </mrow>
Wherein, a1And a2Default two constant coefficients are represented, the geometry and material parameter that their value can be based on flexible membrane are come basis Field experiment is demarcated and set.
5. flexible membrane tension measuring system as claimed in claim 4, it is characterised in that the system preferably also includes man-machine interaction Module, the human-computer interaction module are preferably prestored for reflecting between different flexible layer tensions and its out-of-plane vibration, movement velocity The relationship of relation, and for inputting the multiple parameters including flexible membrane geometric parameter and material parameter.
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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1847810A (en) * 2005-04-15 2006-10-18 上海同磊土木工程技术有限公司 Film pre-tension measuring method
CN101290254A (en) * 2007-04-18 2008-10-22 新田株式会社 Tension measuring apparatus
CN201434742Y (en) * 2009-04-08 2010-03-31 东华大学 Non-contact yarn traverse winding tension dynamic detection unit
CN102331317A (en) * 2011-06-02 2012-01-25 南京航空航天大学 System and method for detection of micro-nano Newton force on spherical membrane vibratory quantum and application of method
CN107179151A (en) * 2016-03-11 2017-09-19 贤科茗(上海)精密仪器有限公司 Belt tension tester

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1847810A (en) * 2005-04-15 2006-10-18 上海同磊土木工程技术有限公司 Film pre-tension measuring method
CN101290254A (en) * 2007-04-18 2008-10-22 新田株式会社 Tension measuring apparatus
CN201434742Y (en) * 2009-04-08 2010-03-31 东华大学 Non-contact yarn traverse winding tension dynamic detection unit
CN102331317A (en) * 2011-06-02 2012-01-25 南京航空航天大学 System and method for detection of micro-nano Newton force on spherical membrane vibratory quantum and application of method
CN107179151A (en) * 2016-03-11 2017-09-19 贤科茗(上海)精密仪器有限公司 Belt tension tester

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