Method for determining maximum stress value of prestress circular thin film under uniformly-distributed loads

A technology of evenly distributed load and maximum stress, applied in the direction of measuring force, instruments, measuring devices, etc., can solve problems such as loss of instrument accuracy

Inactive Publication Date: 2014-08-13
CHONGQING UNIV
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  • Abstract
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Problems solved by technology

However, the problem of the circular thin film with prestress has not been solved analytically at present, but if the influence of prestress is

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  • Method for determining maximum stress value of prestress circular thin film under uniformly-distributed loads
  • Method for determining maximum stress value of prestress circular thin film under uniformly-distributed loads
  • Method for determining maximum stress value of prestress circular thin film under uniformly-distributed loads

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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, the radius is a, the thickness is h, Young’s modulus of elasticity is E, Poisson’s ratio is ν, and the prestress is σ 0 The circular membrane is fixed and clamped at its circumference, and a transverse uniform load q is applied to it, then based on the static force balance analysis of the axisymmetric deformation problem of the circular membrane, the maximum stress value σ of the membrane is calculated using the load measurement value q m can be determined by the following formula:

[0017] σ m = ( a 2 E 2 5 h 2 ...

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Abstract

The invention discloses a method for determining the maximum stress value of a prestress circular thin film under uniformly-distributed loads. The method comprises the steps that the periphery of the circular thin film is fixedly clamped, wherein the radius of the circular thin film is a, the thickness of the circular thin film is h, the Yang elasticity modulus of the circular thin film is E, the Poisson ratio is nu, and the prestress of the circular thin film is sigma 0; one transverse uniformly-distributed load is applied to the circular thin film, and the maximum stress value sigma m of the thin film can be accurately determined on the basis of static balance analysis of the axial symmetric deformation problem of the circular thin film by means of the load measurement value q.

Description

technical field [0001] The invention relates to a method for determining the maximum stress value of a prestressed circular film clamped around the periphery under the action of a uniform load. Background technique [0002] Membrane structures are widely used in many engineering fields. Because the membrane is very thin, it will show a large deflection under load, and its deformation problem is usually a geometric nonlinear problem. The accurate analytical solution of these nonlinear deformation problems is usually very difficult. Difficult, in most cases only numerical calculation results can be given. However, for many design problems such as diaphragm instruments and instruments, the design must be based on the exact analytical solutions of these thin film problems, and the numerical calculation results are usually difficult to meet this requirement. [0003] The loading structure of the prestressed circular film clamped around the periphery under the uniform load can be...

Claims

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Application Information

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IPC IPC(8): G01L1/00
Inventor 何晓婷孙俊贻郑周练蔡珍红曹亮练永盛裴新新
Owner CHONGQING UNIV
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