| 计算振动特征问题的一种新方法 |
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| 引用本文： | 杨勇学,钟掘,古可. 计算振动特征问题的一种新方法[J]. 中南大学学报(自然科学版), 1987, 0(5) |
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| 作者姓名： | 杨勇学 钟掘 古可 |
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| 作者单位： | 中南矿治学院机械工程系，中南矿治学院机械工程系，中南矿治学院机械工程系 |
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| 摘 要： | 本文结合振动系统特征值和特征向量的计算讨论了一种计算特征问题的新方法.通过大量实例计算证明这一方法具有精度高、速度快等特点.这一方法的关键在于:(1)建立新型剩余函数式,(2)应用新型的迭代法.本文所述的方法能很方便地扩散到许多领域内的特征问题求解.
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| 关 键 词： | 振动 特征值 特征向量 矩阵函数 系统分析 迭代法 |
A NEW METHOD OF CALCULATING EIGENVECTOR AND EIGENVALUE OF THE VIBRATION SYSTEM |
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| Yang Yongxue Zhong Jue Gu Ke. A NEW METHOD OF CALCULATING EIGENVECTOR AND EIGENVALUE OF THE VIBRATION SYSTEM[J]. Journal of Central South University:Science and Technology, 1987, 0(5) |
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| Authors: | Yang Yongxue Zhong Jue Gu Ke |
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| Affiliation: | Department of Mechanical Engineering |
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| Abstract: | A new method of calculating eigenvectors and eigenvalues is discussed and applied to the vibration system. A lot of examples have proved that the method has some peculiar features, such as high accuracy and little CPU time. To set a new type resident function and then use a new type iterative formula are the two key steps of this method. The method can be easily applied to many different fields to calculate system eigenvectors and eigenvalues. |
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| Keywords: | vibration characteristic value characteristic vector matrix functions systems analysis iteration method |
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