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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: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.

收稿时间:6 June 1980

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)
Authors:Fan Jia-shen
Institution:(1) Architecture Engineering Department, Yunnan Institute of Technology, Kunming
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.
Keywords:
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