[1]孙木楠,方同,马大为,等.亏损系统的时域随机响应分析[J].南京理工大学学报(自然科学版),1999,(02):5-8.
 Sun MuÄ,nan Fang T ong &sup,Ma Daw eiZhang Fux iang.Time-domain Random Response Analysis of Defective Systems[J].Journal of Nanjing University of Science and Technology,1999,(02):5-8.
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亏损系统的时域随机响应分析()
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
1999年02期
页码:
5-8
栏目:
出版日期:
1999-04-30

文章信息/Info

Title:
Time-domain Random Response Analysis of Defective Systems
作者:
孙木楠方同1马大为2张福祥2
( 南京理工大学理学院, 2机械学院, 南京210094)
( ¹ 西北工业大学振动研究中心, 西安710072)
Author(s):
Sun MuÄnan Fang T ong ¹ Ma Daw ei2Zhang Fux iang 2
( School of Sciences, 2 School of Mechanics, NUST, Nanjing 210094)
( ¹ Vibrat ion Research Centre, Northw estern Polytechnical University, Xi’an 710072)
关键词:
线性系统 模态分析 随机振动 亏损系统。
Keywords:
linear systems modal analysis random vibrat ion defective system
分类号:
TB123,O324
摘要:
对于常参数线性阻尼系统,如果系统是亏损的,复模态分析就不再适用。该文基于广义模态分析,研究了亏损系统在白噪声及滤过白噪声这2种典型激励下的平稳随机响应问题,推导了在此激励下系统响应协方差函数矩阵的解析表达式,该表达式只包含有复代数运算,十分便于求解,并且当系统为非亏损时,上述表达式即可简化为非亏损系统随机响应表达式的形式,因此该结果可用于分析包括亏损系统在内的一般线性时不变系统的随机响应问题
Abstract:
T he complex modal analysis is not appropriate for analyzing defective ordinary linear damping system. Based on the generalized modal analysis, problem of stat ionary random responses of defect ive systems subject to w hite noise and filtered w hite noise excitat ions is studied in this paper. Closed expressions of covariance funct ion matrices of system response under such ex citat ions are derived and include only complex algebraic operat ions, so computat ion of response is easy. Furthermore, the above expressions can be simplified to those of random responses of non-defective systems w hen the systems are non-defective. T he conclusions can be applied to analyze random responses of general linear t ime-invariant systems, including defective systems.

参考文献/References:

1 Fang T, Wang Z N. Complex modal analysis of random vibr atio n. AIAA J, 1986, 24( 2) : 342~344
2 Fang T, Wang Z N. Stationar y response to second- order filtered white- no ise excitation. AIAA J,1986, 24( 6) : 1 048~ 1 051
3 方同, 张天舒. 随机振动的复模态时域分析. 自然科学进展, 1994, 4( 1) : 109~ 112
4 时国勤. 一般线性振动系统随机振动的谱分析方法. 见: 第5 届全国振动理论及应用学术会议论文集( 上)1 北京: 北京理工大学, 19931584~ 589
5 方同, 张天舒. 共轭复指数随机激励及有关响应分析. 振动工程学报, 1992, 5( 3) : 257~ 262

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备注/Memo

备注/Memo:
孙木楠 女 31 岁 副教授
更新日期/Last Update: 2013-03-29