[1]程崇庆.关于复模态情况下系统运动方程的解耦问题[J].东南大学学报(自然科学版),1983,13(4):98-105.[doi:10.3969/j.issn.1001-0505.1983.04.010]
　Cheng Chong-qing.The Decoupling Problem of Equation of Motion in the Case of Complex Modes[J].Journal of Southeast University (Natural Science Edition),1983,13(4):98-105.[doi:10.3969/j.issn.1001-0505.1983.04.010]
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关于复模态情况下系统运动方程的解耦问题()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
13
期数:
1983年第4期
页码:
98-105
栏目:
本刊信息
出版日期:
1983-12-20

文章信息/Info

Title:
The Decoupling Problem of Equation of Motion in the Case of Complex Modes
作者:
程崇庆
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Author(s):
Cheng Chong-qing
关键词:
系统运动方程;  复模态;  向量组;  振型向量;  粘滞阻尼;  充要条件;  线性无关;  复向量;  复空间;  二阶方程
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1983.04.010
摘要:
本文证明了复模态矩阵的非奇异性,给出了粘滞阻尼线性振动系统运动方程在复空间中能完全解耦的充要条件,并指出当系统的振型向量只要有一对必须为复向量时,此系统就不能完全解耦。
Abstract:
In this paper, the nonsingularity of the complex mode matrix is proved. The sufficient and necessary conditions under which the couplings among the governing equations of a vibration system with viscous damping can be broken off completely in complex space are obtained. It is pointed out that among the mode vectors of a system with only one pair of mode vectors must be of complex ones, the couplings of this system can not be broken off completely.

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更新日期/Last Update: 2013-05-01