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Determination method for elastic strain energy of large-turning angle circular membrane under uniformly distributed load

A technology of elastic strain energy and uniformly distributed load, which is applied in the direction of applying stable tension/pressure to test the strength of materials, etc., can solve the problems of different allowable values, different requirements for errors, and the lateral load q cannot be too large, so as to eliminate Calculate the error, design the effect of convenient application

Active Publication Date: 2015-07-01
太湖县市场监督检验所(太湖县功能膜检测研究院)
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Problems solved by technology

Therefore, the existing method based on the assumption of a small film rotation angle cannot be used to determine the elastic strain energy U of a circular film when the rotation angle θ is greater than 20°!
[0004] It should be pointed out that if the approximate condition sinθ≌tanθ is to be satisfied, the applied lateral load q must not be too large, which means that the analytical solution under the assumption of a small film rotation angle is used to solve The problem is that there is a restriction that the applied lateral load q cannot be too large, but different technical fields have different requirements for errors, and the corresponding allowable values ​​of lateral load q are different. There is no doubt that this restriction condition is undesirable in many technical applications

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  • Determination method for elastic strain energy of large-turning angle circular membrane under uniformly distributed load
  • Determination method for elastic strain energy of large-turning angle circular membrane under uniformly distributed load
  • Determination method for elastic strain energy of large-turning angle circular membrane under uniformly distributed load

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[0019] Below in conjunction with accompanying drawing, technical scheme of the present invention is described in further detail:

[0020] Such as figure 1 As shown, use a clamping device with an inner radius a=20mm to fix and clamp the rubber film without prestress with Young's elastic modulus E=7.84MPa, Poisson's ratio ν=0.47, and thickness h=0.06mm to form A circular film structure with a radius a=20mm fixed and clamped around the periphery, applies a uniform load q to the circular film laterally, and allows the applied uniform load q to slowly increase from 0.01MPa to 0.1MPa, using the method provided by the present invention method, the elastic strain energy U of the circular rubber film under the action of transverse uniform load q can be determined, as shown in Table 1.

[0021] In table 1, the data of rotation angle θ is the film rotation angle value (degree) at r=10mm place, in addition, in order to reflect the error that adopts the small rotation angle hypothesis of ...

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Abstract

The invention discloses a determination method for elastic strain energy of a large-turning angle circular membrane under a uniformly distributed load. The determination method comprises the following steps of fixedly clamping a non-prestressed membrane of which the Young's elastic modulus is E, the Poisson's ratio is v and the thickness is h by using a clamping device of which the inner radius is a to form a circular membrane structure of which the radius is a and the periphery is fixedly clamped, and transversely applying the uniformly distributed load q to the circular membrane to enable a turning angle theta after the membrane deforms to be greater than 20 degrees, so based on the accurate analysis on the static balance problem of the axisymmetric circular membrane, by utilizing a load measured value q, the elastic strain energy generated after the membrane deforms can be determined.

Description

technical field [0001] The invention relates to a method for determining the elastic strain energy of a circular film with a large corner fixed and clamped around it under the action of a uniformly distributed load. Background technique [0002] The circular thin-film structure has applications in many technical fields, such as the design of diaphragm instruments and meters, and the testing of the mechanical properties of thin-film / base-layer systems, etc. However, so far, the analytical solutions to the static force balance problem of a circular membrane fixed and clamped around the periphery under the action of a uniform load have been obtained under the assumption that the membrane rotation angle is small. For example, the applicant's previously declared invention patent "a The method for determining the elastic properties of prestressed circular membranes under uniform load" (patent application number: 201410238597.3) uses the analytical solution of the prestressed circu...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01N3/08
Inventor 孙俊贻何晓婷练永盛郭莹郑周练蔡珍红冉光明
Owner 太湖县市场监督检验所(太湖县功能膜检测研究院)
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