Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (4): 499-504.

• 论文 • 上一篇    

Discussion on “Rectangular Plates with Free Edges on Elastic Foundations”

范家参, 黎家佑   

  1. The Seismologic Bureau of Yunnan Province, Kunming
  • 收稿日期:1980-03-31 出版日期:1981-07-18 发布日期:1981-07-18

Discussion on “Rectangular Plates with Free Edges on Elastic Foundations”

Fan Ja-shen, Li Ja-you   

  1. The Seismologic Bureau of Yunnan Province, Kunming
  • Received:1980-03-31 Online:1981-07-18 Published:1981-07-18

摘要: This paper points out the former work does not fulfill the boundary conditions that the concentrated force at the four corner points should not exist. Therefore, Ritz method adopted by the author concerned in the illustrative example will not be convergent in the best way. Moreover, Garlerkin method which is illustrated in this paper may carry out incorrect results if we apply its formulae. We have proved that the boundary conditions which govern the concentrated force equal to zero at the four corner points are indispensable if the problem is properly set.

关键词: rotor dynamics, exciting-vibration force, airflow

Abstract: This paper points out the former work does not fulfill the boundary conditions that the concentrated force at the four corner points should not exist. Therefore, Ritz method adopted by the author concerned in the illustrative example will not be convergent in the best way. Moreover, Garlerkin method which is illustrated in this paper may carry out incorrect results if we apply its formulae. We have proved that the boundary conditions which govern the concentrated force equal to zero at the four corner points are indispensable if the problem is properly set.

Key words: rotor dynamics, exciting-vibration force, airflow

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