| 等导重根特征对的泰勒展开 |
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| 引用本文： | 陈力奋 顾英. 等导重根特征对的泰勒展开[J]. 复旦学报(自然科学版), 1998, 37(5): 621-628 |
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| 作者姓名： | 陈力奋 顾英 |
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| 作者单位： | 复旦大学力学与工程科学系!上海300433(陈力奋)，复旦大学力学与工程科学系(顾英，王文亮) |
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| 摘 要： | 讨论多参数非亏损特征对的可微性，推导了具有等同一阶偏导数的重根特征的计算公式，进而得到了它们的泰勒开展开式。
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| 关 键 词： | 可微性 泰勒展开 结构振动 等导重根特征 特征值 |
Taylor Expansion of the Eigenpairs with a Repeated Latent Root Having Equal Derivatives |
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| Chen Lifen, Gu Ying, Wang Wenliang. Taylor Expansion of the Eigenpairs with a Repeated Latent Root Having Equal Derivatives[J]. Journal of Fudan University(Natural Science), 1998, 37(5): 621-628 |
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| Authors: | Chen Lifen Gu Ying Wang Wenliang |
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| Affiliation: | Department of Mechanics and Engineering Science |
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| Abstract: | The differentiability of the eigenpairs with a nondefective latent root is investigated, where vibratory systems are described by general multi-parameter models. Computational formulae of the eigenpairs with a repeated root which have equal first partial derivatives are derived, and their Taylor expansions are accomplished further. |
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| Keywords: | directional derivative differentiability Taylor expansion |
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