Method for determining maximum deflection value of pre-stressed circular thin film under uniformly distributed load

专利类型：发明专利

语言：中文

申请号：CN201410238568.7

申请日：20140530

发明人：孙俊贻何晓婷郑周练蔡珍红曹亮练永盛文江泉

申请人：重庆大学

申请人地址：400044 重庆市沙坪坝区沙正街174号

公开日：20170412

公开号：CN103968801B

代理人：穆祥维

代理机构：重庆博凯知识产权代理有限公司 50212

摘　　要：Abstract：The invention discloses a method for determining a maximum deflection value of a pre-stressed circular thin film under a uniformly distributed load. The method comprises the following steps: fixedly clamping the circular thin film with radius a, thickness h, elastic Young's modulus E, Poisson's ratio V and prestress sigma0 on circumference of the circular thin film, and applying a uniformly distributed load value q in the transverse direction, and therefore, through static equilibrium analysis on the basis of axisymmetrical deformation of the circular thin film, the maximum deflection value wm of the thin film is accurately determined through the measured value q of the load.

主权项：一种确定均布载荷下预应力圆薄膜最大挠度值的方法，其特征是：将半径为a、厚度为h、杨氏弹性模量为E、泊松比为ν、预应力为σ₀的圆薄膜，在其周圈固定夹紧，并对其施加一个横向均布载荷q，那么基于这个圆薄膜轴对称变形问题的静力平衡分析，利用载荷测量值q，薄膜的最大挠度值w_m可以由以下公式确定： $w_{m} = {(\frac{a^{4} q}{2 hE})}^{1 / 3} c^{1 / 3} g (c),$ 其中g(c)为： $</p><p><strong>关键词：</strong> </p><p><strong>法律状态：</strong>生效 </p><p><strong>IPC专利分类号：</strong>G01B21/32 </p>
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