| 模态截断与简谐载荷的响应 |
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| 引用本文： | 刘中生,陈塑寰,赵又群.模态截断与简谐载荷的响应[J].航空学报,1993,14(9):537-541. |
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| 作者姓名： | 刘中生 陈塑寰 赵又群 |
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| 作者单位： | 吉林工业大学力学系,长春 130022 |
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| 基金项目： | 国家自然科学基金，中科院沈阳计算技术研究所现代制造CAD/CAM技术开放实验室资助 |
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| 摘 要： | 利用矩阵级数展开和特征值问题的谱叠加原理,将截断模态对响应的贡献用已知模态和系统矩阵来精确表达,从而可提高计算精度。数值算例表明本文方法是有效的。
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| 关 键 词： | 模态叠加法 模态截断 强迫振动 简谐载荷 |
| 收稿时间： | 1992-05-04 |
| 修稿时间： | 1992-11-10 |
MODAL TRUNCATION AND THE RESPONSE TO HARMONIC EXCITATION |
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| Liu Zhong-sheng,Chen Su-huan,Zhao You-qun.MODAL TRUNCATION AND THE RESPONSE TO HARMONIC EXCITATION[J].Acta Aeronautica et Astronautica Sinica,1993,14(9):537-541. |
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| Authors: | Liu Zhong-sheng Chen Su-huan Zhao You-qun |
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| Institution: | Department of Mechanics, Jilin University of Technology, Changchun, 130022 |
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| Abstract: | Fast and accurately evaluating the contribution due to the truncated modes to the response of harmonic excitation is the objective of this paper without using the truncated modes. By using the series expansion of a matrix function and the theory of spectral representation of a matrix, the contribution due to the truncated modes to the response of a harmonic excitation is expressed exactly and exlicitly, with the available low-frequency modes and the system matrices. Two numerical examples are given to demonstrate the validity and effectiveness of the present method. |
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| Keywords: | modal superposition modal truncation forced vibration harmonic excitation |
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