| 三维弹性边界元法中1/r奇异性与面力不连续的处理 |
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| 引用本文： | 温卫东,高德平.三维弹性边界元法中1/r奇异性与面力不连续的处理[J].航空动力学报,1990,5(4):364-366,378. |
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| 作者姓名： | 温卫东 高德平 |
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| 作者单位： | 南京航空学院
(温卫东)，南京航空学院(高德平) |
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| 摘 要： | 一、面力不连续问题的处理对于任意一个边界为 Γ的弹性体空间域 Ω,可推导出其边界积分方程的矩阵形式为 :c]i{u}i + ∫Γp*]{u}dΓ =∫Γu*]{p}dΓ + ∫Ωu*]{b}dΩ (1 ) 其中 {u}与 {p}分别为边界上的位移及面力列阵 ,{b}为Ω内的单位体力列阵。 i∈Ω +Γ ,c]是与 i点邻近的几何形状相关的系数矩阵。 p* ]和 u* ]分别为面力与位移基本解方阵 ,其子元分别为 u*lk=Alk/ r及 p*lk=- Blk/ r2 ,其中Alk=(3- 4ν)δlk + rlrk1 6πG(1 -ν) , Blk=nmrm〔(1 - 2ν)δlk+ 3rlrk〕 - (1 - 2ν) (rlnk- rknl)8πG(1 -ν)G和ν为材…
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| 收稿时间： | 4/1/1990 12:00:00 AM |
THE TREATMENT OF 1/r SINGULARITY AND DISCONTINUOUS TRACTIONS IN 3-D ELASTIC BOUNDARY ELEMENT METHOD |
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| Wen Weidong and Gao Deping.THE TREATMENT OF 1/r SINGULARITY AND DISCONTINUOUS TRACTIONS IN 3-D ELASTIC BOUNDARY ELEMENT METHOD[J].Journal of Aerospace Power,1990,5(4):364-366,378. |
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| Authors: | Wen Weidong and Gao Deping |
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| Institution: | Nanjing Aeronautical Institute;Nanjing Aeronautical Institute |
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| Abstract: | For treatment of common discontinuous tractions in 3 D elastic boundary element method,a simple and practical approach is proposed in this paper.The problem of the 1/r integral singularity and its treatment are discussed and analyzed as well.The numerical results show that the appprach in this paper is satisfactory. |
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