CN106769477B - The determination method of axis load lower prestress circular membrane maximum stress - Google Patents
The determination method of axis load lower prestress circular membrane maximum stress Download PDFInfo
- Publication number
- CN106769477B CN106769477B CN201710033846.9A CN201710033846A CN106769477B CN 106769477 B CN106769477 B CN 106769477B CN 201710033846 A CN201710033846 A CN 201710033846A CN 106769477 B CN106769477 B CN 106769477B
- Authority
- CN
- China
- Prior art keywords
- circular membrane
- prestressing force
- maximum stress
- load
- axis
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
Links
- 239000012528 membrane Substances 0.000 title claims abstract description 26
- 238000000034 method Methods 0.000 title claims abstract description 9
- 239000010408 film Substances 0.000 description 7
- 230000002093 peripheral effect Effects 0.000 description 3
- 238000005259 measurement Methods 0.000 description 2
- 235000013399 edible fruits Nutrition 0.000 description 1
- 238000011835 investigation Methods 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 238000000465 moulding Methods 0.000 description 1
- 239000007787 solid Substances 0.000 description 1
- 239000010409 thin film Substances 0.000 description 1
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/08—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
Landscapes
- Physics & Mathematics (AREA)
- Health & Medical Sciences (AREA)
- Life Sciences & Earth Sciences (AREA)
- Chemical & Material Sciences (AREA)
- Analytical Chemistry (AREA)
- Biochemistry (AREA)
- General Health & Medical Sciences (AREA)
- General Physics & Mathematics (AREA)
- Immunology (AREA)
- Pathology (AREA)
- Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
Abstract
The invention discloses the determination methods of axis load lower prestress circular membrane maximum stress: at the prestressing force circular membrane center that periphery fixes to clamp, one transverse load F is applied to prestressing force circular membrane by a smooth flat cylindrical body loading axis, wherein, the Young's modulus of elasticity of prestressing force circular membrane be E, Poisson's ratio ν, prestressing force σ0, with a thickness of h, radius a, the radius of smooth flat cylindrical body loading axis is b, standing balance analysis based on this On Axisymmetric Deformation of A then can determine that maximum stress σ of the prestressing force circular membrane under transverse load F effect using the measured value of transverse load Fm。
Description
Technical field
The present invention relates to the determination methods for prestressing force circular membrane maximum stress under axis load that periphery fixes to clamp.
Background technique
Circular membrane structure has a wide range of applications in fields such as machinery, electronics, bioengineering.In fact, due to temperature,
The influence of the factors such as the variation of humidity and manufacture craft makes in circular membrane structure after molding, in most cases
Can be there is certain prestressing force in film, prestressed presence will change the mechanical behavior of circular membrane structure.In general, adopting
Apply load at circular membrane center with loading axis, load, measurement work can be made more convenient, however from the knot of document Investigation
Fruit sees that axis loads the analytic solutions of the On Axisymmetric Deformation of A for the prestressing force circular membrane that following peripheral fixes to clamp, there is presently no
It is presented, thus influences the work for determining prestressing force circular membrane maximum stress based on load measurement value.
Summary of the invention
This invention address that the analysis research of film problem, prestressing force that Analytical Solution axis load following peripheral fixes to clamp
The On Axisymmetric Deformation of A of circular membrane obtains the analytic solutions of the problem, and solid to shaft load following peripheral on this basis
The determination method of the maximum stress of the tight prestressing force circular membrane of clamp.
The determination method of axis load lower prestress circular membrane maximum stress: thin in the prestressing force circle that periphery fixes to clamp
At center membrane, a transverse load F is applied to prestressing force circular membrane by a smooth flat cylindrical body loading axis,
In, the Young's modulus of elasticity of prestressing force circular membrane is E, Poisson's ratio ν, prestressing force σ0, with a thickness of h, radius a, it is smooth
The radius of flat cylindrical body loading axis be b, the standing balance analysis based on this On Axisymmetric Deformation of A, the prestressing force is round
The maximum stress σ of filmmIt can be expressed as with the parsing relationship of transverse load F
Wherein, π is pi,
And c0And c1Value by equation
With
It determines, all parameters all use the International System of Units.
As long as in this way, measuring the value of transverse load F, so that it may determine the prestressing force circular membrane in transverse load F
Maximum stress σ under effectm。
Detailed description of the invention
Fig. 1 is that the prestressing force circular membrane that periphery fixes to clamp loads organigram, wherein 1- prestressing force circle is thin
Film, 2- smooth flat cylindrical body loading axis, 3- clamping device, and a indicates that the inside radius of clamping device and prestressing force are round
The radius of film, b indicate that the radius of smooth flat cylindrical body loading axis, F indicate that loading axis applies prestressing force circular membrane
The transverse load added, wmIndicate the maximum defluxion of prestressing force circular membrane.
Specific embodiment
Technical solution of the present invention is described in further detail below with reference to Fig. 1:
At the prestressing force round rubber thin film center that periphery fixes to clamp, loaded by a smooth flat cylindrical body
Axis applies a transverse load F to prestressing force round rubber film, wherein the Young's modulus of elasticity of prestressing force round rubber film
E=7.84MPa, Poisson's ratio ν=0.47, prestressing force σ0=0.2MPa, thickness h=1mm, radius a=50mm, smooth flat circle
The radius b=5mm of cylinder loading axis.Measure transverse load F=15N.Using method given by the present invention, pass through equation
With
Wherein,
Then available c0=1.330249489, c1=2.239081372.Finally, by formula
It is then available, as transverse load F=15N, the maximum stress σ of the prestressing force round rubber filmm=
1.509MPa。
Claims (1)
1. the determination method of axis load lower prestress circular membrane maximum stress, it is characterised in that: fixed to clamp on periphery pre-
A transverse direction is applied to prestressing force circular membrane by a smooth flat cylindrical body loading axis at stress circle thin film center
Load F, wherein the Young's modulus of elasticity of prestressing force circular membrane is E, Poisson's ratio ν, prestressing force σ0, with a thickness of h, radius
Radius for a, smooth flat cylindrical body loading axis is b, measures the value of transverse load F, determines the prestressing force by following formula
Maximum stress σ of the circular membrane under transverse load F effectm:
Wherein, π is pi,
And c0And c1Value by equation
With
It determines, all parameters all use the International System of Units.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710033846.9A CN106769477B (en) | 2017-01-16 | 2017-01-16 | The determination method of axis load lower prestress circular membrane maximum stress |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710033846.9A CN106769477B (en) | 2017-01-16 | 2017-01-16 | The determination method of axis load lower prestress circular membrane maximum stress |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN106769477A CN106769477A (en) | 2017-05-31 |
| CN106769477B true CN106769477B (en) | 2019-04-05 |
Family
ID=58947208
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201710033846.9A Expired - Fee Related CN106769477B (en) | 2017-01-16 | 2017-01-16 | The determination method of axis load lower prestress circular membrane maximum stress |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN106769477B (en) |
Families Citing this family (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110044538B (en) * | 2019-04-09 | 2020-10-09 | 重庆大学 | Method for determining maximum stress of circular film under action of liquid |
| CN111442977B (en) * | 2020-03-12 | 2022-03-08 | 重庆大学 | Method for determining maximum stress of circular film under action of transversely uniformly distributed load |
| CN111474041A (en) * | 2020-04-22 | 2020-07-31 | 重庆大学 | Method for determining elastic energy of prestressed circular film under uniformly distributed load |
| CN111474040A (en) * | 2020-04-22 | 2020-07-31 | 重庆大学 | Method for determining elastic energy of prestressed round film under action of uniformly distributed load |
| CN111474039A (en) * | 2020-04-22 | 2020-07-31 | 重庆大学 | Method for determining maximum deflection of prestressed circular film under action of uniformly distributed load |
| CN113720689A (en) * | 2021-08-17 | 2021-11-30 | 重庆大学 | Method for determining the maximum stress of a circular membrane in contact with a rigid plate under gas pressure |
Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5808207A (en) * | 1997-06-30 | 1998-09-15 | The Aerospace Corporation | Microballoon impregnated fiber reinforced RTV film compression stress sensor testing method |
| JP2001153770A (en) * | 1999-11-26 | 2001-06-08 | Nichirin Co Ltd | Measuring method for static physical property value of anisotropic viscoelastivity of rubber hose with reinforcement layer |
| CN1924548A (en) * | 2006-09-15 | 2007-03-07 | 西安交通大学 | Method for measuring yield strength of metal membrane at test current |
| CN101520385A (en) * | 2008-02-27 | 2009-09-02 | 中国科学院半导体研究所 | Method for testing mechanical property and reliability of thin film material of micro-electromechanical system (MEMS) and device thereof |
| CN101788427A (en) * | 2010-01-29 | 2010-07-28 | 湘潭大学 | Device for detecting mechanical property of multifunctional film |
| CN102426068A (en) * | 2011-09-14 | 2012-04-25 | 华东理工大学 | Prediction method for surface thin film residual stress |
| CN103822736A (en) * | 2014-03-24 | 2014-05-28 | 重庆大学 | Method for determining membrane stress value of periphery clamped circular membrane under effect of concentrated force |
| CN104019931A (en) * | 2014-06-19 | 2014-09-03 | 重庆大学 | Method for determining maximum stress of prestressed annular thin film under transverse concentrated load |
| CN105956379A (en) * | 2016-04-26 | 2016-09-21 | 重庆大学 | Method for determining maximum stress of annular thin film with rigid plate in center under uniformly distributed load |
-
2017
- 2017-01-16 CN CN201710033846.9A patent/CN106769477B/en not_active Expired - Fee Related
Patent Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5808207A (en) * | 1997-06-30 | 1998-09-15 | The Aerospace Corporation | Microballoon impregnated fiber reinforced RTV film compression stress sensor testing method |
| JP2001153770A (en) * | 1999-11-26 | 2001-06-08 | Nichirin Co Ltd | Measuring method for static physical property value of anisotropic viscoelastivity of rubber hose with reinforcement layer |
| CN1924548A (en) * | 2006-09-15 | 2007-03-07 | 西安交通大学 | Method for measuring yield strength of metal membrane at test current |
| CN101520385A (en) * | 2008-02-27 | 2009-09-02 | 中国科学院半导体研究所 | Method for testing mechanical property and reliability of thin film material of micro-electromechanical system (MEMS) and device thereof |
| CN101788427A (en) * | 2010-01-29 | 2010-07-28 | 湘潭大学 | Device for detecting mechanical property of multifunctional film |
| CN102426068A (en) * | 2011-09-14 | 2012-04-25 | 华东理工大学 | Prediction method for surface thin film residual stress |
| CN103822736A (en) * | 2014-03-24 | 2014-05-28 | 重庆大学 | Method for determining membrane stress value of periphery clamped circular membrane under effect of concentrated force |
| CN104019931A (en) * | 2014-06-19 | 2014-09-03 | 重庆大学 | Method for determining maximum stress of prestressed annular thin film under transverse concentrated load |
| CN105956379A (en) * | 2016-04-26 | 2016-09-21 | 重庆大学 | Method for determining maximum stress of annular thin film with rigid plate in center under uniformly distributed load |
Non-Patent Citations (3)
| Title |
|---|
| Theoretical study on shaft-loaded blister test technique: Synchronous characterization of surface and interfacial mechanical properties;Junyi Sun等;《International Journal of Adhesion & Adhesives》;20141231;第128-139页 |
| 均布荷载下受有预加张力圆薄膜的轴对称变形;何晓婷等;《重庆大学学报》;20100131;第109-112页 |
| 轴对称线布载荷作用下圆薄膜大挠度问题研究;高晓威;《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》;20140315;第C038-312页 |
Also Published As
| Publication number | Publication date |
|---|---|
| CN106769477A (en) | 2017-05-31 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN106769477B (en) | The determination method of axis load lower prestress circular membrane maximum stress | |
| CN106442129B (en) | The determination method of lateral uniform load lower prestress circular membrane elasticity energy | |
| CN106323735B (en) | The determination method of prestress annular film maximum defluxion under uniform load with hard core | |
| CN105890970B (en) | The determining method of the annular membrane maximum defluxion of center band rigid plate under uniform load | |
| CN106338437B (en) | The determination method of prestress annular film elasticity energy under uniform load with hard core | |
| CN104749034B (en) | A kind of determination method of big corner circular membrane elastic strain energy under uniform load | |
| CN105675484B (en) | The determination method of the annular membrane elasticity energy of center band rigid plate under uniform load | |
| CN105956379B (en) | The determining method of the annular membrane maximum stress of center band rigid plate under uniform load | |
| CN106248474B (en) | The determination method of lateral uniform load lower prestress circular membrane maximum defluxion | |
| CN106596267B (en) | The determination method of circular membrane elasticity energy under maximum defluxion constrained state | |
| CN103968801A (en) | Method for determining maximum deflection value of pre-stressed circular thin film under uniformly distributed load | |
| CN104749033A (en) | Determination method for maximum stress of large-turning angle circular membrane under uniformly distributed load | |
| CN106769394B (en) | The determination method of axis load lower prestress circular membrane maximum defluxion | |
| CN109991083B (en) | Method for determining maximum stress under condition of large rotation angle of circular film limited by elasticity | |
| CN106644248B (en) | The determination method of circular membrane maximum stress under maximum defluxion constrained state | |
| CN104019931A (en) | Method for determining maximum stress of prestressed annular thin film under transverse concentrated load | |
| CN110208099A (en) | A kind of determination method of the elasticity energy of liquid effects lower prestress circular membrane | |
| CN110286031A (en) | The determination method of the maximum stress for the prestressing force circular membrane that amount of deflection is limited by elasticity | |
| CN110286040A (en) | A kind of determination method of the maximum stress of liquid effects lower prestress circular membrane | |
| CN106469256A (en) | The determination method of the prestress annular film maximum stress of uniform load lower band hard core | |
| CN111474040A (en) | Method for determining elastic energy of prestressed round film under action of uniformly distributed load | |
| CN103822736A (en) | Method for determining membrane stress value of periphery clamped circular membrane under effect of concentrated force | |
| CN106769476B (en) | The prestressed axis of film loads measurement method in prestressing force circular membrane structure | |
| CN112903218B (en) | Method for determining maximum stress of prestressed circular film with limited maximum deflection under air pressure | |
| CN113092040B (en) | Method for determining maximum stress of annular film under transversely uniformly distributed load |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| TR01 | Transfer of patent right |
Effective date of registration: 20200108 Address after: 244000 room 15, building 1-a1, Beidou Xingcheng, Tongguan District, Tongling City, Anhui Province Patentee after: Anhui taointelligent Technology Information Co.,Ltd. Address before: 400044 Shapingba District Sha Street, No. 174, Chongqing Patentee before: Chongqing University |
|
| TR01 | Transfer of patent right | ||
| TR01 | Transfer of patent right | ||
| TR01 | Transfer of patent right |
Effective date of registration: 20220818 Address after: Room 3-197, Building 2, Chuangye Building, No. 66, Academician Road, Ningbo High-tech Zone, Ningbo City, Zhejiang Province 315048 Patentee after: Ningbo Tianchi Intellectual Property Agency Co.,Ltd. Address before: 244000 room 15 / F, building 1-a1, Beidou Xingcheng, Tongguan District, Tongling City, Anhui Province Patentee before: Anhui taointelligent Technology Information Co.,Ltd. |
|
| TR01 | Transfer of patent right | ||
| TR01 | Transfer of patent right |
Effective date of registration: 20230306 Address after: 244000 room 15 / F, building 1-a1, Beidou Xingcheng, Tongguan District, Tongling City, Anhui Province Patentee after: Anhui taointelligent Technology Information Co.,Ltd. Address before: Room 3-197, Building 2, Chuangye Building, No. 66, Academician Road, Ningbo High-tech Zone, Ningbo City, Zhejiang Province 315048 Patentee before: Ningbo Tianchi Intellectual Property Agency Co.,Ltd. |
|
| CF01 | Termination of patent right due to non-payment of annual fee | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20190405 |