Method for determining maximum deflection of prestressed circular film under uniformly distributed load

The invention discloses a method for determining the maximum deflection of a prestressed circular film under uniformly distributed load. A uniformly distributed load q is transversely applied to the prestressed circular film with the fixed and clamped periphery and with the radius of a, the thickness of h, the Young's modulus of elasticity of E, the Poisson's ratio of v and the prestress of sigma0 to make the prestressed circular film have axial symmetry deformation, and based on static balance analysis of the problem of axial symmetry deformation of the prestressed circular film, the maximumdeflection wm of the prestressed circular film after axial symmetry deformation can be determined by utilizing the measured value of the load q. 本发明公开了一种均布载荷下预应力圆形薄膜最大挠度的确定方法：对半径为a、厚度为h、杨氏弹性模量为E、泊松比为ν、预应力为σ的周边固定夹紧的预应力圆形薄膜横向施加一个均布载荷q，使其产生轴对称变形，基于该预应力圆形薄膜轴对称变形问题的静力平衡分析，利用载荷q的测量值，就可以确定预应力圆形薄膜轴对称变形后的最大挠度w。