Method for Determination of Elastic Properties of Prestressed Annular Membrane with Rigid Core under Uniform Load

Abstract

The invention discloses a method for determining an elastic energy of a prestress ring membrane with a hard core under a uniformly distributed load. The method comprises the following steps: horizontally applying the uniformly distributed load q on a structure of the prestress ring membrane with the hard core in a center area, the periphery of the structure of the prestress ring membrane is fixed and clamped, wherein the thickness of the ring membrane is h, the Young's modulus is E, the poisson ratio is v, the prestress is delta 0, the external radius is a, the internal radius is b, the radius of the hard core of the ring membrane in the center area is also b, the static balance analysis based on the axial symmetrical deformation problem is implemented, and a measurement value of the uniformly distributed load q is utilized to determine the elastic energy U of the deformed ring membrane.

Description

technical field [0001] The invention relates to a method for determining the elastic energy of a prestressed annular membrane structure with a rigid core in the central region and a peripheral fixed clamping under the action of a transverse uniform load. Background technique [0002] The analytical solution to the axisymmetric deformation of the film under the transverse uniform load of the annular film structure fixed and clamped with a hard core in the central area is of great significance to the development of sensors and instruments. However, according to the results of literature search, the analytical solution to the axisymmetric deformation of the film under the action of transverse uniform load of the prestressed ring-shaped film structure with a hard core and a fixed and clamped periphery in the central area has not been given. There is only an analytical solution applicable to the case of no prestress in the annular membrane, for example, the applicant’s previously...

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Problems solved by technology

However, according to the results of literature search, the analytical solution to the axisymmetric deformation of the film under the action of transverse uniform load of the prestressed ring-shaped film structure with a hard core and a fixed and clamped periphery in the central area has not been given. There is only an analytical solution applicable to the case of no prestress in the annular membrane, for example, the applicant’s previously declared invention patent (“Method for determining the elastic properties of an annular membrane with a rigid plate in the center under uniform load”, patent application number: 201610266626.6) The analytical solution used in , is obtained under the assumption that there is no prestress in the annular membrane, so it is only applicable to the case where there is no prestress in the membrane

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