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Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (9): 877-886.

• Articles • 上一篇    下一篇

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)

范家参   

  1. Architecture Engineering Department, Yunnan Institute of Technology, Kunming
  • 收稿日期:1980-06-06 出版日期:1986-09-18 发布日期:1986-09-18

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)

Fan Jia-shen   

  1. Architecture Engineering Department, Yunnan Institute of Technology, Kunming
  • Received:1980-06-06 Online:1986-09-18 Published:1986-09-18

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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.

关键词: singular perturbation, functional differential equation, boundary value problem, uniformly valid asymptotic expansion

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.

Key words: singular perturbation, functional differential equation, boundary value problem, uniformly valid asymptotic expansion

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