Method for determining elastic energy of prestressed round film under action of uniformly distributed load

The invention discloses a method for determining elastic energy of a prestressed circular film under the action of uniformly distributed load. A prestressed film with the thickness of h, the Young's modulus of elasticity of E, the Poisson's ratio of v and the prestress of sigma 0 is fixed and clamped by using a clamping device with the inner radius of a to form a prestressed circular film structure with the radius of a and the periphery fixedly clamped, a uniformly distributed load q is transversely applied to the prestressed circular film to make the prestress circular thin film subjected toaxial symmetry deformation, and the elastic energy U of the prestressed circular film after axial symmetry deformation can be determined by utilizing a measured value of the load q based on static balance analysis of the axial symmetry deformation problem of the prestressed circular film. 本发明公开了一种预应力圆薄膜在均布载荷作用下的弹性能的确定方法：用一个内半径为a的夹紧装置将一个厚度为h、杨氏弹性模量为E、泊松比为ν、预应力为σ的预应力薄膜固定夹紧，从而形成一个半径为a的周边固定夹紧的预应力圆形薄膜结构，并对该预应力圆形薄膜横向施加一个均布载荷q，使