【摘要】 本文以板的中心挠度为摄动参数,采用摄动方法获得承受均布载荷,四边固定的对称角交叠层板的大挠度弯曲问题的近似解.与文献[12]不同,本文在每一级近似中,应用伽辽金方法求出各级近似解.文中计算了碳纤维复合材料对称角交叠层板的数值结果,绘出了载荷与中心挠度关系曲线以及列出有代表性的几点的应力计算公式.另外,本文研究了玻璃纤维复合材料正交对称叠层方板的大挠度特性,与文献[6]采用有限差分法所得的结果比较表明,采用本文的方法所得结果与试验值吻合得较好.更多还原

【Abstract】 In this paper the perturbation technique is used to obtain an approximate solution for he large-deflection problem of the symmetric angle-ply rectangular laminates clamped at the edges under uniformly distributed transverse loading. The perturbation parameter elating to the central deflection is selected. Unlike Refs. [12]-[14], for every order of approximation the approximate solutions are achieved by applying the Galerkin method. The numerical results have been calculated for a CFRP (Carbon Fibre-Reinforced Plastics symmetric angle. ply rectangular laminate. The normal load versus central deflection is plotted and the formulae for the stresses at several representative points in the laminateare given. In addition, the large. deflection behavior of a symmetric cross-ply laminated square plate made from glass-epoxy composite is investigated. In. comparison with the results given in Ref. [6]in which the finite difference method was. used, it is evident tha the results from the present method are in better agreement with the experimen ai values[6]更多还原