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关于复模态参数的冗余性

陈奎孚 焦群英

陈奎孚, 焦群英. 关于复模态参数的冗余性[J]. 应用数学和力学, 2004, 25(12): 1292-1298.
引用本文: 陈奎孚, 焦群英. 关于复模态参数的冗余性[J]. 应用数学和力学, 2004, 25(12): 1292-1298.
CHEN Kui-fu, JIAO Qun-ying. On the Redundancy of Complex Modal Parameters[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1292-1298.
Citation: CHEN Kui-fu, JIAO Qun-ying. On the Redundancy of Complex Modal Parameters[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1292-1298.

关于复模态参数的冗余性

详细信息
    作者简介:

    陈奎孚(1969- ),江苏宿迁人,讲师,博士;焦群英,教授,博士(联系人.Tel:+86-10-62376411;Fax:+86-10-62376777;E-mail:jiaoqy@cau.edu.cn).

  • 中图分类号: TN911.72

On the Redundancy of Complex Modal Parameters

  • 摘要: 生成仿真传递函数是考核模态识别算法和评估模态分析软件的不可缺少的环节.比较可行的3种计算方案表明:若选择将传递函数表示为复模态参数的展开式,则可以自由设定仿真模态的特性,如密频、大阻尼和复模态;然而,即使采用这种格式也不能随意设置一组复模态振型,因为这种格式的表观参数个数大于物理参数个数;故而,若对应的物理参数有意义,那么复模态参数必须满足一组约束关系.通过分析复模态系统的特征值问题,和复模态参数反演物理参数的方程式,给出了复模态参数间的一组非线性冗余约束.讨论了实模态、无阻尼和不完全模态等特殊情形的冗余约束具体形式与独立参数的个数,值得注意的是,对于实模态系统,冗余约束自动满足.给出冗余约束在传递函数矩阵和一列传递函数上的等价形式.这些结果有助于产生仿真传递函数,实施优化型识别算法,以及评估识别结果;还可用来评价残余模态和识别完整性.
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出版历程
  • 收稿日期:  2003-01-15
  • 修回日期:  2004-07-06
  • 刊出日期:  2004-12-15

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