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本文对网状扁壳与带肋扁壳共同工作的组合结构(可简称组合网状扁壳),采用连续化的拟三层壳的计算模型,按弹性小挠度薄壳理论进行分析计算,推导建立了混合法的基本方程式。由于这种构造上的拟三层壳在一般情况下不存在中面,因而壳体的薄膜内力、弯矩与薄膜应变,弯曲应变是耦合的,存在一个耦合矩阵,使得基本方程式比单层光面的符氏扁壳方程要复杂得多。对于周边简支的组合网状扁壳可求得基本方程式的解析解。文中对三向、四向组合网状扁壳进行了详细讨论,并指出了在特定条件下,可退化为一个当量的各向同性单层扁壳。对于一般网状扁壳的拟壳分析法及带肋扁壳的拟壳分析法分别属于本文的两种特殊情况。文中附有计算例题。
In this paper, a combined model of mesh-like flat shells and ribbed shallow shells working together (abbreviated as combined net-like flat shells) is used, and a continuous three-dimensional shell model is used to calculate and deduct the elastic thin shell theory. The basic equation of the hybrid method was established. Since the pseudo-trilayer shell on this structure does not have a medium plane in general, the internal force, bending moment and film strain of the shell, the bending strain are coupled, and there is a coupling matrix, making the basic equation simpler than single-layer light. The facet’s shallow shell equation is much more complicated. Analytical solutions to the basic equations can be obtained for the simply meshed composite mesh shells. In this paper, three-way and four-way mesh shallow shells are discussed in detail, and it is pointed out that under certain conditions, it can be degenerated into an equivalent isotropic single-layer shallow shell. The pseudo-shell analysis method for general mesh-like shallow shells and the pseudo-shell analysis method for ribbed shallow shells belong to the two special cases of this paper. Examples of calculations are attached to the text.