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Method for determining elastic energy of circular film under condition of restricted maximal deflection

A technology of maximum deflection and determination method, applied in the direction of applying stable tension/pressure to test material strength, etc., can solve problems affecting the development of capacitive pressure sensors and other issues

Active Publication Date: 2017-04-26
宁波市天驰知识产权代理有限公司
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Problems solved by technology

However, according to the results of the literature search, the axisymmetric deformation of the circular membrane fixed and clamped around the periphery under the uniform load after the maximum deflection is limited has not been solved analytically, which affects the development of capacitive pressure sensors.

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  • Method for determining elastic energy of circular film under condition of restricted maximal deflection
  • Method for determining elastic energy of circular film under condition of restricted maximal deflection
  • Method for determining elastic energy of circular film under condition of restricted maximal deflection

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Embodiment Construction

[0029] Combine below figure 1 The technical scheme of the present invention is described in further detail:

[0030] A uniformly distributed load q is applied laterally to the circular rubber film fixed and clamped around the periphery, so that the deformed film is in contact with a smooth flat plate, and the smooth flat plate is parallel to the film before deformation, and the smooth plate is kept in contact with the pre-deformed film. The distance H between the films is constant, thereby limiting the maximum deflection of the circular rubber film after deformation, wherein the distance between the smooth plate and the film before deformation is H=11mm, the thickness of the circular rubber film is h=1mm, the radius a=50mm, Young's modulus of elasticity E=7.84MPa, Poisson's ratio ν=0.47. The radius b of the contact area between the film and the smooth flat plate was measured to be 15 mm. Adopt the method that the present invention provides, then α=(a 2 +2ab-3b 2 ) / (4a 2 )...

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Abstract

The invention provides a method for determining the elastic energy of a circular film under the condition of restricted maximal deflection. The method comprises the following steps: transversely applying a uniformly distributed load q on a circumferentially fixed and clamped circular film with a thickness of h, a radius of a, Young' s modulus of E and Poisson's ratio of v; allowing the deformed film to contact with a smooth flat plate, allowing the smooth flat plate to be parallel to the film before deformation and maintaining the distance H between the film and the smooth flat plate to be unchanged so as to restrict the maximal deflection of the film after deformation; and based on static equilibrium analysis of the axisymmetric deformation, determining the elastic energy U of the circular film after contact with the smooth flat plate according to the measured value of the radius b of a contact area of the film and the smooth flat plate.

Description

technical field [0001] The invention relates to a method for determining the elastic energy of a circular membrane fixed and clamped around the periphery under a uniformly distributed load in a state where the maximum deflection is limited. Background technique [0002] Circular thin-film structures have a wide range of applications in the fields of mechanics, electronics, and bioengineering. In the development of capacitive pressure sensors, it is necessary to make the circular membrane structure work in two modes, non-contact mode: the membrane does not contact the smooth electrode plate; contact mode: the membrane contacts the smooth electrode plate. In contact mode, the maximum deflection of a circular membrane fixedly clamped at its perimeter under pressure (under uniform load) is always limited by the smooth electrode plates parallel to the undeformed membrane. However, according to the results of the literature search, the axisymmetric deformation of the circular mem...

Claims

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Application Information

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IPC IPC(8): G01N3/08
CPCG01N3/08
Inventor 何晓婷练永盛王腾飞杨志欣郑周练郭莹孙俊贻
Owner 宁波市天驰知识产权代理有限公司
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