Method for determining deflection of circular prestressed film with limited maximum deflection under air pressure
A technique of maximum deflection, determination method, applied in the direction of testing material strength, strength properties, elasticity, etc. using applied stable tension/compression
Pending Publication Date: 2021-06-01
CHONGQING UNIV
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Problems solved by technology
However, so far there is no analytical research on the axisymmetric deformation of a circular prestressed membrane clamped around the periphery under gas pressure under the condition of limited maximum deflection
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[0030] The technical scheme of the present invention is further described below in conjunction with specific case:
[0031] Such as figure 1 As shown, Young's modulus of elasticity E=7.84N / mm 2 , Poisson's ratio ν=0.47, radius a=10mm, thickness h=1mm, prestress σ 0 =0.2N / mm 2 The initial flat and clamped circular prestressed film applies gas pressure q, so that the circular prestressed film produces axisymmetric deformation under the gas pressure, and is parallel to the rigidity of an initially flat circular prestressed film The flat plate forms a circular smooth contact area with a radius b, where the distance between the rigid flat plate and the initially flat circular prestressed film is H=2.5mm, and the measured gas pressure q=0.1N / mm 2 , then using the method given by the present invention, by the equation
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The invention discloses a method for determining the deflection of a circular prestressed film with limited maximum deflection under air pressure. The method comprises the steps of applying air pressure q to an initially flat and periphery clamped circular prestressed film with Young's modulus E, Poisson's ratio v, radius a, thickness h and prestress sigma0, enabling the circular prestressed film to generate axial symmetry deformation under the air pressure, forming a circular smooth contact area with the radius b witha rigid flat plate parallel to the initial flat circular prestressed film, wherein the distance between the rigid flat plate and the initial flat circular prestressed film is H, and on the basis of static equilibrium analysis of the axisymmetric deformation of the circular prestressed film, determining the deflection w(r) in the area b<r<a of the circular prestressed film subjected to axisymmetric deformation, wherein r represents the distance from any point on the circular prestressed film subjected to axisymmetric deformation to a straight line which is perpendicular to the geometric middle surface of the initial flat circular prestressed film and passes through the centroid of the geometric middle surface.
Description
technical field [0001] The invention relates to a method for determining the deflection of a circular prestressed membrane clamped around the circumference under the action of gas pressure under the condition that the maximum deflection is limited. Background technique [0002] The analytical solution to the axisymmetric deformation problem of a circular membrane clamped around the perimeter with limited maximum deflection has applications in many engineering and technical fields, e.g. for the study of adhesion energy measurements of membrane / substrate systems, and for various instruments and sensors. According to the results of literature search, there are only analytical research results on the axisymmetric deformation of a non-prestressed circular membrane clamped around the periphery under the action of gas pressure under the condition of limited maximum deflection. For example, the analytical solution adopted in the invention patent "Determining the deflection of a cir...
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Login to View More IPC IPC(8): G01M5/00G01N3/12
CPCG01M5/0041G01N3/12G01N2203/0075
Inventor 何晓婷张梦桥
Owner CHONGQING UNIV