加权残值法的一种新试函数与圆薄板非对称大挠度问题

A NEW TRIAL FUNCTION BEING AVAILABLE FOR M.W.R. AND PROBLEM OF NONLINEAR UNSYMMETRICAL BENDING OF THIN ELASTIC CIRCULAR PLATE

摘要: 本文提出了一种新的适用于加权残值法的试函数,并证明它具有良好的性能。文中还推导出以应力函数φ(ρ,θ)和挠度函数W(ρ,θ)表述的圆板不可移边界条件式。取本文的新试函数做试函数和权函数,用Galerkin法解决了弹性圆薄板的任意大挠度问题。计算实例表明,本文的新试函数是有效的,本文的计算均可在微机上完成。

Abstract: In this paper a new trial function being available for M. W. R. is Presented. And it is proved to be excellent. Taking it as trial function and Weighting function and using Galerkin procedure, problem of nonlinear unsymmetrical bending of thin elastic circular plate is solved. It is also demonstrated by caculating examples that this new trial funetion is available.