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Method for determining maximum stress of annular thin film with rigid plate in center under uniformly distributed load

A technique of uniform load and maximum stress, used in special data processing applications, instruments, calculations, etc.

Active Publication Date: 2016-09-21
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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  • Application Information

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Problems solved by technology

Since the film is a flexible material, it usually exhibits a large deflection under the action of a uniform load, so its deformation problem has a strong nonlinearity, and these nonlinear problems are usually difficult to solve analytically

Method used

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  • Method for determining maximum stress of annular thin film with rigid plate in center under uniformly distributed load
  • Method for determining maximum stress of annular thin film with rigid plate in center under uniformly distributed load
  • Method for determining maximum stress of annular thin film with rigid plate in center under uniformly distributed load

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Embodiment Construction

[0032] Below in conjunction with accompanying drawing, technical scheme of the present invention is described in further detail:

[0033] Such as figure 1 As shown, using a clamping device with an inner radius of a = 20mm, the rubber of a rigid plate with a thickness of h = 0.06mm, Young's modulus of elasticity E = 7.84MPa, Poisson's ratio ν = 0.47, and a center belt radius b = 5mm The film is fixed and clamped to form an axisymmetric ring-shaped film with a rigid plate in the center fixed and clamped around the outer radius a=20mm and inner radius b=5mm, and a uniformly distributed load q is applied to it in the transverse direction, and q=0.01 is measured MPa. Adopt the method that the present invention provides, by equation

[0034] ν = 2 - b a [ Σ i = 2 10 i ( ...

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Abstract

The invention discloses a method for determining a maximum stress of an annular thin film with a rigid plate in the center under a uniformly distributed load. The method comprises the steps of fixing and clamping the annular thin film which has the thickness of h, the Young's elastic modulus of E and the Poisson's ratio of v and is provided with the rigid plate with the radius of b in the center by adopting a clamping apparatus with the inner radius of a to form an axial symmetric annular thin film which has the outer diameter of a and the inner radius of b, is fixed and clamped at the periphery and is provided with the rigid plate in the center; transversely applying the uniformly-distributed load q to the annular thin film; and determining the maximum stress sigma m of the annular thin film by utilizing a measurement value of the uniformly-distributed load q based on static balance analysis of an axial symmetric deformation problem.

Description

technical field [0001] The invention relates to a method for determining the maximum stress of an annular film with a rigid plate in the center under a uniformly distributed load. Background technique [0002] The analytical solution to the axisymmetric deformation problem of the annular membrane with a rigid plate in the center under a uniform load is of great significance to the development of sensors, instruments and meters. Since the thin film is a flexible material, it usually exhibits a large deflection under a uniform load, so its deformation problem has a strong nonlinearity, and these nonlinear problems are usually difficult to solve analytically. The present invention is devoted to the analytical research on the axisymmetric deformation problem of the annular film with the rigid plate in the center under uniform load, and obtains the analytical solution of the problem, and on this basis, provides the annular film with the rigid plate in the center under uniform loa...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F19/00
CPCG16Z99/00
Inventor 孙俊贻练永盛杨志欣何晓婷蔡珍红郑周练杨鹏
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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