A Method for Determining the Maximum Deflection of Large Corner Round Thin Films under Uniform Loads

Abstract

The invention discloses a method for determining the maximum deflection of a large-angle circular film under a uniform load: using a clamping device with an inner radius of , the Young's modulus of elasticity is , Poisson's ratio is The film is fixed and clamped to form a circular film structure with a radius of , and a uniform load is applied to the circular film in the transverse direction, so that the corner of the film after deformation is greater than 20o, then based on this axisymmetric circular film static An accurate analysis of the force balance problem, using the load measurements, allows the determination of the maximum deflection wm after deformation of the membrane.

Description

technical field [0001] The invention relates to a method for determining the maximum deflection of a circular film with a large corner fixed and clamped around it under the action of a uniformly distributed load. Background technique [0002] The circular thin-film structure has applications in many technical fields, such as the design of diaphragm instruments and meters, and the testing of the mechanical properties of thin-film / base-layer systems, etc. However, so far, the analytical solutions to the static force balance problem of a circular membrane fixed and clamped around the periphery under the action of a uniform load have been obtained under the assumption that the membrane rotation angle is small. For example, the applicant's previously declared invention patent "a Method for determining the maximum deflection value of prestressed circular membrane under uniform load" (Patent Application No.: 201410238568.7) The analytical solution of the prestressed circular membra...

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Problems solved by technology

Generally speaking, the error of the precision measuring instrument itself is usually expected to be less than 3%. In this way, the existing method based on the assumption of a small film rotation angle cannot be used to determine the maximum deflection of a circular film when the rotation angle θ is greater than 20°, so it cannot Design applications for precision measuring instruments!

[0004] It should be pointed out that if the approximate condition sinθ≌tanθ is to be satisfied, the applied lateral load q must not be too large, which means that the analytical solution under the assumption of a small film rotation angle is used to solve problem, there is a constraint that the applied lateral load q cannot be too large, which is undoubtedly undesirable in many technical applications

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