Generaliaed Biharmonic Operator and Its Application to the Bending of Elastic Thin Plates

Yu Zhong-zhi

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(2): 159-165

Yu Zhong-zhi. Generaliaed Biharmonic Operator and Its Application to the Bending of Elastic Thin Plates[J]. Applied Mathematics and Mechanics, 1994, 15(2): 159-165.

Citation:

Yu Zhong-zhi. Generaliaed Biharmonic Operator and Its Application to the Bending of Elastic Thin Plates[J]. Applied Mathematics and Mechanics, 1994, 15(2): 159-165.

Citation:

Yu Zhong-zhi. Generaliaed Biharmonic Operator and Its Application to the Bending of Elastic Thin Plates[J]. Applied Mathematics and Mechanics, 1994, 15(2): 159-165.

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Generaliaed Biharmonic Operator and Its Application to the Bending of Elastic Thin Plates

Yu Zhong-zhi

Dept.of Eng, Mechanics, Dalian University of Tech., Dalian

Received Date: 1992-05-15
Publish Date: 1994-02-15

Abstract

Abstract

In this paper, δ-function is used to construct the generalized biharmonic operators, the corresponding quadratic function is presented, and the latter is applied to the bending of elastic thin plates, The result shows that when the arguments in the variational functional are generalized functions, discontinuity to sone degree is allowed, and the modified variational principle by using the Lagrange multipliers is merely a special form of the result mentioned above.
- δ-function,
- generalized derivative,
- thin plate,
- variation (mathematies)

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References(8)

References

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