Determination of Maximum Stress of Prestressed Annular Membrane with Rigid Core under Uniform Load

Abstract

The invention discloses a determination method for the maximum stress of a prestress ring membrane with a hard core under uniformly distributed loads. The determination method includes the steps that a prestress annular membrane fixed and clamped on the periphery with the hard core of a center area is constructed and transversely applied to a uniformly distributed load q, wherein the thickness of the annular membrane is h, the young ' s modulus elasticity is E, the poisson ratio is v, the prestress is sigma 0, the external radius is a, the inside radius is b, and the radius of the hard core in the annular membrane center is b. Based on standing balance analysis of the axial symmetry deformation problem, the measurement value of the uniformly distributed load q is adopted, and the maximum stress sigma m after the annular membrane is deformed can be determined.

Description

technical field [0001] The invention relates to a method for determining the maximum stress of a film under the action of a laterally uniformly distributed load of a prestressed ring-shaped film structure fixed and clamped around the center with a hard core. 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 previo...

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Problems solved by technology

However, according to the results of the literature search, the analytical solution of the axisymmetric deformation of the film under the 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 yet 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 maximum stress of an annular membrane with a rigid plate in the center under uniform load”, patent application number: 201610263954.0) 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 of no prestress

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