借助于薄板的解求薄扁壳的解(微分方程降六阶)

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To Solve the Shallow Shell Equations with the Help of the Plate’s Equation Solution(Lowering the Order of Partial Differential Equation from 8 to 2)

摘要: 如果与薄扁壳的边界形状及荷载相同的薄板弯曲问题的解为已知,则相应的薄扁球壳弯曲方程组降阶为一个非齐次的Helmholtz方程而易于求解.给出了例题说明本文方法的应用.

Abstract: If a plate solution is known which has the same boundary and loading conditions with a shallow shell,the solution of that shell can be reduced to a non-homogeneous Helmholtz's equation in complex domain.Two examples are given to illustrate our method.

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