| GENERALIZED BIHARMONIC OPERATOR AND ITS APPLICATION TO THE BENDING OF ELASTIC THIN PLATES |
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| 引用本文： | 俞中直.GENERALIZED BIHARMONIC OPERATOR AND ITS APPLICATION TO THE BENDING OF ELASTIC THIN PLATES[J].应用数学和力学(英文版),1994,15(2):167-174. |
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| 作者姓名： | 俞中直 |
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| 作者单位： | Yu Zhonett-zhi Dept. of Eng. Mechanics，Dalian University of Tech.，Dalian |
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| 摘 要： | ＧＥＮＥＲＡＬＩＺＥＤＢＩＨＡＲＭＯＮＩＣＯＰＥＲＡＴＯＲＡＮＤＩＴＳＡＰＰＬＩＣＡＴＩＯＮＴＯＴＨＥＢＥＮＤＩＮＧＯＦＥＬＡＳＴＩＣＴＨＩＮＰＬＡＴＥＳＹｕＺｈｏｎｅｔｔ－ｚｈｉ（俞中直）（Ｄｅｐｔ．ｏｆＥｎｇ．Ｍｅｃｈａｎｉｃｓ，ＤａｌｉａｎＵｎ...
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| 收稿时间： | 15 May 1992 |
Generalized biharmonic operator and its application to the bending of elastic thin plates |
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| Yu Zhong-zhi.Generalized biharmonic operator and its application to the bending of elastic thin plates[J].Applied Mathematics and Mechanics(English Edition),1994,15(2):167-174. |
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| Authors: | Yu Zhong-zhi |
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| Institution: | Dept. of Eng. Mechanics, Dalian University of Tech., Dalian |
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| Abstract: | In this paper, δ-function is used to construct the generalized biharmonic operators, the coresponding 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 some degree is 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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| Keywords: | tunction generalized derivative thin plate variation (mathematies) |
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