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Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (2): 167-174.

• 论文 • 上一篇    下一篇

GENERALIZED BIHARMONIC OPERATOR AND ITS APPLICATION TO THE BENDING OF ELASTIC THIN PLATES

俞中直   

  1. Dept. of Eng. Mechanics, Dalian University of Tech., Dalian
  • 收稿日期:1992-05-15 出版日期:1994-02-18 发布日期:1994-02-18

GENERALIZED BIHARMONIC OPERATOR AND ITS APPLICATION TO THE BENDING OF ELASTIC THIN PLATES

Yu Zhong-zhi   

  1. Dept. of Eng. Mechanics, Dalian University of Tech., Dalian
  • Received:1992-05-15 Online:1994-02-18 Published:1994-02-18

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摘要： In this paper, δ-function is used to construct the generalized biharmonicoperators, the corresponding quadratic function is presented, and the latter is appliedto the bending of elastic thin plates, The result shows that when the arguments in the variational functional are generalized functions, discontinuity to sone degreeis allowed, and the modified variational principle by using the Lagrange multipliers is merely a special form of the result mentioned above.

Abstract: In this paper, δ-function is used to construct the generalized biharmonicoperators, the corresponding quadratic function is presented, and the latter is appliedto the bending of elastic thin plates, The result shows that when the arguments in the variational functional are generalized functions, discontinuity to sone degreeis allowed, and the modified variational principle by using the Lagrange multipliers is merely a special form of the result mentioned above.

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