Ji Zhen-yi, Ye Kai-yuan. Substructure Computational Algorithm for Exact Analytic Method[J]. Applied Mathematics and Mechanics, 1990, 11(10): 855-860.
Citation: Ji Zhen-yi, Ye Kai-yuan. Substructure Computational Algorithm for Exact Analytic Method[J]. Applied Mathematics and Mechanics, 1990, 11(10): 855-860.

Substructure Computational Algorithm for Exact Analytic Method

  • Received Date: 1989-09-16
  • Publish Date: 1990-10-15
  • In[1], the exact analytic method for the solution of differential equation with variable coefficients was suggested and an analytic expression of solution was given by initial parameter algorithm. But to some problems such as the bending, free vibration and buckling of nonhomogeneous long cylinders, it is difficult to obtain their solutions by the initial parameter algorithm on computer. In this paper, the substructure computational algorithm for the exact analytic method is presented through the bending of non-homogeneous long cylindrical shell. This substructure algorithm can he applied to solve the problems which can not he calculated by the initial parameter algorithm on computer. Finally, the problems can he reduced to solving a low order system of algehraic equations like the initial parameter algorithm Numerical examples are given and compared with the initial para-algorithm at the end of the paper, which confirms the correctness of the substructure computational algorithm.
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  • [1]
    纪振义、叶开沅,任意变系数微分方程的精确解析法,应用数学和力学,10,10(1989),841-852.
    [2]
    叶开沅、纪振义,非均匀圆柱壳非线性轴对称变形的一般解,应用数学和力学,10,3(1959),187-193.
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