| 弹性地基板自由振动的样条函数解 |
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| 引用本文： | 赵雷. 弹性地基板自由振动的样条函数解[J]. 西南交通大学学报, 1993, 6(3): 99-104 |
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| 作者姓名： | 赵雷 |
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| 作者单位： | 西南交通大学建筑工程系 |
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| 摘 要： | 本文提出一种用样条函数分析弹性地基板自由振动的新方法。按。‘er恤方法导出弹性地羞板系统翻率方程的标准形式，避免了求解二次特征值间题.本法程序简单，非常适合于徽机计算。数据准备工作量及方程阶次均明显少于其他方法。数值算例表明，本文方法是经济而且有效的.’
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| 关 键 词： | 自由振动 弹性地墓板 样条函数 残值矩阵 颇率 |
Analysis of Free Vibration Problems of Plates on Elastic Foundation by the Spline Function |
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| Zhao Lei Dept. of Architectural Eng.. Analysis of Free Vibration Problems of Plates on Elastic Foundation by the Spline Function[J]. Journal of Southwest Jiaotong University, 1993, 6(3): 99-104 |
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| Authors: | Zhao Lei Dept. of Architectural Eng. |
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| Affiliation: | Zhao Lei Dept. of Architectural Eng. |
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| Abstract: | The spline function is used in the analysis of free vibration problem of plates on elastic foundation. Standard formulas of frequency equations of the system are derived by Galerkin collocation method, avoiding the solution of the twice, eigenvalue problems. The programming of the method is simple and quite suitable for microcomputers. The preparations for running and orders of equation are obviously much less than those in other methods. The results of numerical examples show that the method is economic and effective. |
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| Keywords: | free vibration plates on elastic foundation spline function residual matrix frequency |
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