摘要
本文将S.Leoy 1949年解矩形板大挠度问题的双三角级数法推广到平行四边形板和扁壳的情况,得到了平行四边形和扁壳大挠度问题的准确解,求出了在各种边比,各种斜角,各种曲率情况下的挠度～荷载曲线、膜力～荷载曲线、弯曲应力～荷载曲线.计算结果表明,推广的解法级数收敛快、计算机时少、方法可靠.所附图表为平行四边形板和扁壳工程设计的改进提供了依据.
In this paper, S. Levy's double triangular series method for large deflection problems of rectangular plates is generalized to the same problem of parallelogram plates and shallow shells. The analytical solution to the problem and deflection, membrane stress and bending stress diagram are ohtained. The numerical results show the method suggested in this paper is clear in principle, fast in convergence, and reasonable in result.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
1991年第5期17-24,共8页
Journal of Hohai University(Natural Sciences)
关键词
非线性
扁壳
平行四边形
挠度
计算
large deflection
shallow shells
double triangular series
analytical solution
