Determination method for maximum stress of large-turning angle circular membrane under uniformly distributed load

A technology of uniform load and maximum stress, applied in the direction of applying stable tension/pressure to test the strength of materials, etc., can solve the problem that the lateral load q cannot be too large, etc.

Active Publication Date: 2015-07-01
佛山市顺德区恒达美塑料制品有限公司
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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 for the maximum stress σ of a circular film when the rotation angle θ is greater than 20° m Sure!
[0004] It should be noted that if the approximate condition Then it is necessary to restrict the applied lateral load q from being too large, which means that if the analytical solution under the assumption

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  • Determination method for maximum stress of large-turning angle circular membrane under uniformly distributed load
  • Determination method for maximum stress of large-turning angle circular membrane under uniformly distributed load
  • Determination method for maximum stress of large-turning angle circular membrane under uniformly distributed load

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Embodiment Construction

[0015] Below in conjunction with accompanying drawing, technical scheme of the present invention is described in further detail:

[0016] 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 maximum stress σ of the circular rubber film under the action of transverse uniform load q can be determined m ,As shown in Table 1.

[0017] 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 film...

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Abstract

The invention discloses a determination method for maximum stress 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 maximum stress sigmam generated after the membrane deforms can be determined.

Description

technical field [0001] The invention relates to a method for determining the maximum stress of a circular film with a large corner fixed and clamped around the periphery 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 maximum stress value of a prestressed circular film under a uniform load" (patent application number: 201410238396.3) uses the analytical solution of the prestressed ...

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Application Information

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IPC IPC(8): G01N3/08
Inventor 何晓婷孙俊贻练永盛蔡珍红郑周练王智谢小军
Owner 佛山市顺德区恒达美塑料制品有限公司
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