摘要
已经发表了不少求解大挠度壳体的动力问题的论文。它们大多分别集中于以有限元法求解和以近似方法求解并分别得到了不少问题的数值解。然而,将这两种方法结合起来,发挥各自的所长,以往讨论得不多。 本文提出了一种基于影响函数的方法与平面问题有限元法的混合方法来求解扁壳的弹塑性动力响应。这一方法将由大挠度引起的面内位移,壳体的初曲率都转化为等效荷载,以平面问题有限元法求解出这些等效荷载下的应力作为等效应力。在考虑了塑性区三维扩展的情况下,用修正的J2增量理论求出有硬化时的壳体塑性等效荷载。对于不同类型和数值的荷载及不同性质的材料,本文进行了数值计算,退化之后的计算结果与已有文献的结果相互吻合。
A mixed method based on the concept of influence function togather with the finite element method for plane stress is presented for studying tile elastoplastic dynamic response of shallow shell with large deflection.In this paper, the in-plane displacements due to large deflection as well as the initial curvature of shell are treated as the equivalent loads and the equivalent stresses corresponding to such loads are obtained by using the finite element method for plane stress. After considering the spread of plastic region along the three directions, the plastic equivalent loads are obtained by use of the modified J_2 incremental theory.The numerical Calculations are given for various hardening coefficients and different impact loads, and all the results are shown in the figures. The degenerated results agree with those given by the other papers.
出处
《上海力学》
CSCD
1990年第1期32-42,共11页
Chinese Quarterly Mechanics
