Method for determining resilience of prestressed circular film under uniformly-distributed load

A technology of uniformly distributed load and circular film, which is applied in the direction of applying stable tension/pressure to test the strength of materials, and can solve the problems of loss of instrument accuracy and other issues

Active Publication Date: 2014-08-13
YANGZHOU PULAOSHI TECH DEV CO LTD
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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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 not considered, it will definitely cause accuracy loss to problems such as instrumentation, instrument design and mechanical performance testing.

Method used

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  • Method for determining resilience of prestressed circular film under uniformly-distributed load
  • Method for determining resilience of prestressed circular film under uniformly-distributed load
  • Method for determining resilience of prestressed circular film under uniformly-distributed load

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Embodiment Construction

[0017] Below in conjunction with accompanying drawing, technical scheme of the present invention is described in further detail:

[0018] 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 film 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 of the circular film, using the load measurement value q, the elastic energy of the film after deformation U can be determined by the following formula:

[0019] U = ( π 3 a 10 cq 4 2 hE ...

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Abstract

The invention discloses a method for determining resilience of a prestressed circular film under a uniformly-distributed load. The method comprises the following steps: fixedly clamping the periphery of a circular film with radius of a, thickness of h, Young modulus of elasticity of E, poisson ratio of v and prestress of sigma O, applying a transverse uniformly-distributed load q on the circular film. On the basis of the static balance analysis on the axisymmetric deformation problem of the circular film, by utilizing a load measuring value q, the elastic energy U of the film after being deformed can be accurately determined.

Description

technical field [0001] The invention relates to a method for determining the elastic energy of a prestressed circular membrane clamped around the periphery under the action of a uniformly distributed 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...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01N3/08
Inventor 孙俊贻郑周练何晓婷蔡珍红曹亮练永盛何操
Owner YANGZHOU PULAOSHI TECH DEV CO LTD
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