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Method for determining elastic energy of circular membrane with rigid slab in center and under uniformly distributed load

A technology of uniform load distribution and determination method, applied in the direction of instruments, measuring devices, mechanical devices, etc.

Active Publication Date: 2016-06-15
嘉善国宏环保科技有限公司
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  • Abstract
  • Description
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Problems solved by technology

Since the film is a flexible material, it usually exhibits a large deflection under the action of a uniform load, so its deformation problem has a strong nonlinearity, and these nonlinear problems are usually difficult to solve analytically

Method used

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  • Method for determining elastic energy of circular membrane with rigid slab in center and under uniformly distributed load
  • Method for determining elastic energy of circular membrane with rigid slab in center and under uniformly distributed load
  • Method for determining elastic energy of circular membrane with rigid slab in center and under uniformly distributed load

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Embodiment Construction

[0023] Below in conjunction with accompanying drawing, technical scheme of the present invention is described in further detail:

[0024] Such as figure 1 As shown, using a clamping device with an inner radius of a = 20mm, the rubber of a rigid plate with a thickness of h = 0.06mm, Young's modulus of elasticity E = 7.84MPa, Poisson's ratio ν = 0.47, and a center belt radius b = 5mm The film is fixed and clamped to form an axisymmetric annular film with a rigid plate in the center fixed and clamped around the outer radius a=20mm and inner radius b=5mm, and a uniformly distributed load q is applied to it in the transverse direction, and q=0.01MPa is measured . Adopt the method that the present invention provides, by equation

[0025] ν = 2 - b a [ Σ i = 2 10 i ( ...

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Abstract

The invention discloses a method for determining elastic energy of a circular membrane with a rigid slab in the center and under a uniformly distributed load. The method is characterized in that a clamping device with the internal radius of a is adopted to fixedly clamp a circular membrane with the thickness of h, the Young's elastic modulus of E and the Poisson's ratio of v, so as to form an axisymmetric circular membrane with the external radius of a and the internal radius of b, wherein a rigid slab with the radius of b is arranged in the center of the circular membrane, the periphery of the axisymmetric circular membrane is fixedly clamped, and the rigid slab is arranged in the center of the axisymmetric circular membrane; a uniformly distributed load q is transversely exerted on the axisymmetric circular membrane; based on static equilibrium analysis and energy equilibrium analysis of the axisymmetrical deformation problem, and by use of the measured value of the uniformly distributed load q, the elastic energy U of the circular membrane can be determined.

Description

technical field [0001] The invention relates to a method for determining the elastic energy of an annular film with a rigid plate in the center under a uniformly distributed load. Background technique [0002] The analytical solution to the axisymmetric deformation problem of the annular membrane with a rigid plate in the center under the action of uniform load is of great significance to the development of sensors, instruments and meters. Since the thin film is a flexible material, it usually exhibits a large deflection under a uniform load, so its deformation problem has a strong nonlinearity, and these nonlinear problems are usually difficult to solve analytically. The present invention is devoted to the analytical research on the axisymmetric deformation problem of the annular film with the rigid plate in the center under uniform load, and obtains the analytical solution of the problem, and on this basis, provides the annular film with the rigid plate in the center under...

Claims

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Application Information

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IPC IPC(8): G01N19/00
CPCG01N19/00
Inventor 何晓婷练永盛杨志欣郭莹孙俊贻郑周练蔡珍红
Owner 嘉善国宏环保科技有限公司
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