| 两邻边铰支两邻边固支von-Karman矩形板的研究 |
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| 引用本文： | 杨加明,雷金波.两邻边铰支两邻边固支von-Karman矩形板的研究[J].南昌航空工业学院学报,1999,13(4):61-65. |
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| 作者姓名： | 杨加明 雷金波 |
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| 作者单位： | 南昌航空工业学院应用工程系!江西南昌330034 |
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| 摘 要： | 本文运用双重Ｆｏｕｒｉｅｒ级数分析了受横向均布载荷作用下两邻边铰支两邻边固支矩形板的非线性弯曲问题。利用该级数正交性，可以把非线性偏微分控制方程化为含级数系数的非线性代数方程组并通过迭代解出所有系数。最后给出了位移和应力的计算结果。
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| 关 键 词： | Fourier级数 矩形板 几何非线性 代数方程 |
| 修稿时间： | 1999－10－12 |
The Research of von-Karman Rectangular Plates with two A djacent edges Simply Supported and The two Other Adjacent Edges Clamped |
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| Yang Jiaming,Lei Jingbo.The Research of von-Karman Rectangular Plates with two A djacent edges Simply Supported and The two Other Adjacent Edges Clamped[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),1999,13(4):61-65. |
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| Authors: | Yang Jiaming Lei Jingbo |
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| Abstract: | Based on double Fourier series,the nonliear bending is analysed for isotropic rectangular plates with two adjacent edges simply supported and two other adjacent edges clamped under constant laterally distributed loads.Using orthogonality relations of Fourier series,we reduce governing nonlinear partial differential equations to an infinite set of system of nonlinear algebraic equations containing Fourier cofficients.Numerical results of central deflection bending stress and membrane stress are obtained by iterative computing method. |
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| Keywords: | Fourier series Rectangular plates Nonliear bending Algebraic equations |
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