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| THE MATHEMATICAL MODELS AND GENERALIZED VARIATIONAL PRINCIPLES OF NONLINEAR ANALYSIS FOR PERFORATED THIN PLATES | |
| 引用本文： | 程昌钧,杨骁. THE MATHEMATICAL MODELS AND GENERALIZED VARIATIONAL PRINCIPLES OF NONLINEAR ANALYSIS FOR PERFORATED THIN PLATES[J]. 应用数学和力学(英文版), 1996, 17(2): 109-118. DOI: 10.1007/BF00122305 |
| 作者姓名： | 程昌钧 杨骁 |
| 作者单位： | Department of Mechanics，Lanzbou University，Lanzbou. Gansu 730000. P. R. China |
| 摘 要： | ＴＨＥＭＡＴＨＥＭＡＴＩＣＡＬＭＯＤＥＬＳＡＮＤＧＥＮＥＲＡＬＩＺＥＤＶＡＲＩＡＴＩＯＮＡＬＰＲＩＮＣＩＰＬＥＳＯＦＮＯＮＬＩＮＥＡＲＡＮＡＬＹＳＩＳＦＯＲＰＥＲＦＯＲＡＴＥＤＴＨＩＮＰＬＡＴＥＳＣｈｅｎｇＣｈａｎｇｉｕｎ（程昌钧）；ＹａｎｇＸｉａｏ... |
| 收稿时间： | 1995-02-22 |
The mathematical models and generalized variational principles of nonlinear analysis for perforated thin plates |
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| Cheng Changjun,Yang Xiao. The mathematical models and generalized variational principles of nonlinear analysis for perforated thin plates[J]. Applied Mathematics and Mechanics(English Edition), 1996, 17(2): 109-118. DOI: 10.1007/BF00122305 | |
| Authors: | Cheng Changjun Yang Xiao |
| Affiliation: | (1) Department of Mechanics, Lanzhou University, 730000 Lanzhou, Gansu, P. R. China |
| Abstract: | On foe basis of the Kirchoff-Karman hypothses for the nonlinear bending of thin plates, the three kinds of boundary value problems of nonlinear analysis for perforated fhin plates are presented under the differenr in-plane boundary conditions and the corresponding generalized varialional principles are established. One can see that all mathematical models presented in this paper are completely new ones and differ from the ordinary von Karman theory. These mathematical models can be applied to the nonlinear analysis and the Stability analysis of perforaled thin plates in arbitraryplane boundary conditions. |
| Keywords: | perforated thin plate non-linear analysis mathematical model generalized variational principle |
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