A Method for Determining Membrane Stress Values ​​Under Concentrated Force on Peripherally Clamped Circular Membranes

Abstract

The invention discloses a method for determining a membrane stress value of a periphery clamped circular membrane under the effect of concentrated force. The method is characterized in that the periphery of a circular membrane with a radius a, thickness h, elastic Young's modulus E and Poisson ratio v is fixed and clamped, a cylinder with a zero-friction flat bottom and a radius b is used as a loading shaft, a transverse load F is applied to the center of the circular membrane, the cylinder and the circular membrane are kept on the same axis during loading, alpha=b / a is recorded, and the membrane stress value sigma r at a place r can be accurately determined by using a load measured value F based on the static balance analysis of the axial symmetry circular membrane problem.

Description

technical field [0001] The invention relates to a method for determining the film stress value of a circular film clamped around the periphery under the action of concentrated force. Background technique [0002] Thin film structures are widely used in the fields of machinery, electronics, and bioengineering. However, due to the thinness of the film, it usually presents a large deflection under load, which belongs to geometric nonlinear deformation problems. The accuracy of these nonlinear deformation problems Analytical solutions are usually very difficult, and in most cases only numerical results can be given. [0003] However, for many design problems such as diaphragm instrumentation, the design must be based on the exact analytical solution of these thin film problems, and the numerical calculation results are usually difficult to meet this requirement. [0004] The invention aims at the actual demand of the engineering application problem, and studies the precise anal...

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Problems solved by technology

[0002] Thin film structures are widely used in the fields of machinery, electronics, and bioengineering. However, due to the thinness of the film, it usually presents a large deflection under load, which belongs to geometric nonlinear deformation problems. The accuracy of these nonlinear deformation problems Analytical solutions are usually very difficult, and in most cases only numerical results can be given

[0003] However, for many design problems such as diaphragm instrumentation, the design must be based on the exact analytical solution of these thin film problems, and the numerical calculation results are usually difficult to meet this requirement

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