具有重特征值的阻尼線性系統振動

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具有重特征值的阻尼線性系統振動

黃漢舟, 林鶴

文章導航 > 工程科學學報 > 1994 > 16(S2): 75-80,85

黃漢舟, 林鶴. 具有重特征值的阻尼線性系統振動[J]. 工程科學學報, 1994, 16(S2): 75-80,85. doi: 10.13374/j.issn1001-053x.1994.s2.017

引用本文:

黃漢舟, 林鶴. 具有重特征值的阻尼線性系統振動[J]. 工程科學學報, 1994, 16(S2): 75-80,85. doi: 10.13374/j.issn1001-053x.1994.s2.017

Huang Hanzhou, Lin He. Study on Vibration of Damped Linear Systems with Multiple Eigenvalues[J]. Chinese Journal of Engineering, 1994, 16(S2): 75-80,85. doi: 10.13374/j.issn1001-053x.1994.s2.017

Citation:

Huang Hanzhou, Lin He. Study on Vibration of Damped Linear Systems with Multiple Eigenvalues[J]. Chinese Journal of Engineering, 1994, 16(S2): 75-80,85. doi: 10.13374/j.issn1001-053x.1994.s2.017

黃漢舟, 林鶴. 具有重特征值的阻尼線性系統振動[J]. 工程科學學報, 1994, 16(S2): 75-80,85. doi: 10.13374/j.issn1001-053x.1994.s2.017

引用本文:

黃漢舟, 林鶴. 具有重特征值的阻尼線性系統振動[J]. 工程科學學報, 1994, 16(S2): 75-80,85. doi: 10.13374/j.issn1001-053x.1994.s2.017

Huang Hanzhou, Lin He. Study on Vibration of Damped Linear Systems with Multiple Eigenvalues[J]. Chinese Journal of Engineering, 1994, 16(S2): 75-80,85. doi: 10.13374/j.issn1001-053x.1994.s2.017

Citation:

Huang Hanzhou, Lin He. Study on Vibration of Damped Linear Systems with Multiple Eigenvalues[J]. Chinese Journal of Engineering, 1994, 16(S2): 75-80,85. doi: 10.13374/j.issn1001-053x.1994.s2.017

具有重特征值的阻尼線性系統振動

doi: 10.13374/j.issn1001-053x.1994.s2.017

黃漢舟¹,
林鶴²

1. 柳州鋼鐵廠;
2. 北京科技大學機械工程學院, 北京 100083

作者簡介:
黃漢舟男 34歲碩士

中圖分類號: O321
計量
- 文章訪問數: 256
- HTML全文瀏覽量: 88
- PDF下載量: 5
- 被引次數: 0
出版歷程
- 收稿日期: 1994-03-01
- 網絡出版日期: 2021-11-13

Study on Vibration of Damped Linear Systems with Multiple Eigenvalues

Huang Hanzhou¹,
Lin He²

1. Liu Zhou Iron and steel works;
2. Mechanical Engineering College, USTB, Beijing 100083, PRC

摘要: 本文在復模態理論基礎上引入系統傳遞函數矩陣及其留數矩陣的概念,推證了傳遞函數矩陣展式,通過展式導出系統振動響應的實數表達式可用于計算具有重特征值的阻尼線性系統振動響應,從而解決了涉及重特征值的振動求解問題,文中對特征值、特征向量及留數矩陣做了探討,并給出了算例.
- 振動 /
- 重特征值 /
- 留數矩陣 /
- Laplace變換
Abstract: In this paper, the transfer function method in complex modal theory has been studied.The transfer function matrix and its residual matrices of a damped linear system are introduced. The expansion formula of the transfer function matrix is derived and proved, with which the real expressions are developed for vibration response of a damped linear system with multiple degrees of freedom. The expressions presented in the paper can be used to compute the vibration response of a damped linear system in which one or more multiple eigenvalues may exist, so the problem dealing with multiple eigenvalues is solved about the solution of the vibration response of a damped linear system. Finally one example is shown.
- vibration /
- multiple eigenvalues /
- residual matrix /
- Laplace trnsform

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文章訪問數: 256
HTML全文瀏覽量: 88
PDF下載量: 5
被引次數: 0

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