| 变厚度矩形薄板弯曲问题的插值矩阵法 |
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| 引用本文： | 牛忠荣. 变厚度矩形薄板弯曲问题的插值矩阵法[J]. 合肥工业大学学报(自然科学版), 1992, 0(4) |
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| 作者姓名： | 牛忠荣 |
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| 摘 要： | 本文研究单向变厚度Levy型板的弯曲问题,用单三角级数把矩形板的控制方程化成常微分方程边值问题,然后采用两点边值问题的插值矩阵法求解板的方程。通过示例,显示本文求解变厚度板的方法精度高,使用方便。
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| 关 键 词： | 薄板 变厚度 弯曲 插值矩阵法 |
INTERPOLATING MATRIX METHOD FOR THE BENDING PROBLEMS OF THIN RECTANGULAR PLATES FOR VARIABLE THICKNESS |
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| Niu Zhangrang. INTERPOLATING MATRIX METHOD FOR THE BENDING PROBLEMS OF THIN RECTANGULAR PLATES FOR VARIABLE THICKNESS[J]. Journal of Hefei University of Technology(Natural Science), 1992, 0(4) |
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| Authors: | Niu Zhangrang |
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| Affiliation: | Niu Zhangrang |
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| Abstract: | The bending problem of Levy's plate with the variable thickness along one direction is discussed in this paper. The governing differential equations of the rectangular plates are transformed to ordinary differential equations with one Fourier series, so that the plates are calculated by interpolating matrix method solving two-point boundary problems. Finally two examples are given and the suggested method is found to be easy in use and very well about the precision. |
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| Keywords: | kirchhoff's plate variable thickness bending interpolating matrix method |
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