Determination method for elastic strain energy of large-turning angle circular membrane under uniformly distributed load

Abstract

The invention discloses a determination method for elastic strain energy of a large-turning angle circular membrane under a uniformly distributed load. The determination method comprises the following steps of fixedly clamping a non-prestressed membrane of which the Young's elastic modulus is E, the Poisson's ratio is v and the thickness is h by using a clamping device of which the inner radius is a to form a circular membrane structure of which the radius is a and the periphery is fixedly clamped, and transversely applying the uniformly distributed load q to the circular membrane to enable a turning angle theta after the membrane deforms to be greater than 20 degrees, so based on the accurate analysis on the static balance problem of the axisymmetric circular membrane, by utilizing a load measured value q, the elastic strain energy generated after the membrane deforms can be determined.

Description

technical field [0001] The invention relates to a method for determining the elastic strain energy 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 The method for determining the elastic properties of prestressed circular membranes under uniform load" (patent application number: 201410238597.3) uses the analytical solution of the prestressed circu...

AI Technical Summary

Problems solved by technology

Therefore, the existing method based on the assumption of a small film rotation angle cannot be used to determine the elastic strain energy U of a circular film when the rotation angle θ is greater than 20°!

[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 The problem is that there is a restriction that the applied lateral load q cannot be too large, but different technical fields have different requirements for errors, and the corresponding allowable values ​​of lateral load q are different. There is no doubt that this restriction condition is undesirable in many technical applications

Images