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把物理正交异性问题的解,用到构造正交异性(材料各向同性)问题的分析上,首要的问题是如何确定构造正交异性转化为物理正交异性时的代换物理参数。本文从近似的刚度等价出发,将正交不同的几何参数,转嫁到各向同性的物理参数上,从而求出代换的正交异性的物理参数。进一步,利用这些物理参数构成的本构关系,本文又导出了按有限元位移法和混合法求解的单元刚度矩阵和单元混合矩阵。最后,利用本文的上述结果进行了数值计算,计算结果表明,与按同性材料正交异性构造的数值计算结果基本相同;然而在同样精度情况下前者较后者可以节省几十到几百倍的机时,并且大大地简化了后期的成果整理工作。
To analyze the solution of the physical orthotropic problem to the problem of constructing the orthotropic (material isotropic) problem, the first question is how to determine the substitutional physical parameters when constructing the orthotropic into a physical orthotropic. In this paper, starting from the approximate stiffness equivalence, the orthogonal geometric parameters are transferred to the isotropic physical parameters, and the physical parameters of the substituted orthotropic are obtained. Further, using the constitutive relations formed by these physical parameters, the element stiffness matrix and element mixing matrix solved by the finite element displacement method and the hybrid method are derived. Finally, the above results of the paper are used to calculate the numerical results. The results show that the numerical results of the orthotropic structure are almost the same as those of the isotropic material; however, the former can save tens to hundreds of times of the same accuracy. The machine time greatly simplifies the finishing work of the later period.