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结构比例柔度矩阵 被引量:4

Proportional flexibility matrix of structures
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摘要 在环境激励情况下,仅通过测试结构响应不可能获得结构柔度矩阵,因此提出了比例柔度矩阵的概念,该柔度矩阵与结构真正的柔度矩阵仅相差一个比例常数.对于测试自由度完备和非完备两种情况,提出了构建结构比例柔度矩阵的方法,并证明该比例常数近似为结构的第一阶模态质量.经算例验证,比例柔度矩阵的提出和应用可以将基于柔度的损伤识别方法扩展应用到环境激励或外境激励源未知的情况. For cases of ambient vibration, in which excitations are unknown, the flexibility matrix is unavailable. In this study the Proportional Flexibility Matrix (PFM) is proposed, which is within a scalar to the true flexibility matrix. For the cases of complete and incomplete measured degrees of freedom, algorithms for assembling the PFM are presented, and the scalar multiplier between the PFM and real flexibility is approximately shown to be the first modal mass. The proposed algorithm is examined by two numerical examples. With the application PFMs, the flexibility based damage detection methods developed previously can be implemented in ambient vibration.
出处 《哈尔滨工业大学学报》 EI CAS CSCD 北大核心 2006年第8期1236-1238,1242,共4页 Journal of Harbin Institute of Technology
基金 国家高技术研究发展计划资助项目(2001AA602023)
关键词 比例柔度矩阵 柔度矩阵 损伤定位 环境激励 proportional flexibility matrix flexibility matrix damage localization ambient vibration
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参考文献4

  • 1PANDEY A K,BISWAS M.Damage detection in structures using changes in flexibility[J].Journal of Sound and Vibration,1994,169(1):3-17.
  • 2BERNAL D.Load vectors for damage localization[J].Journal of Engineering Mechanics,2002,128 (1):7-14.
  • 3LIN C S.Location of modeling errors using modal test data[J].AIAA Journal,1990 (28):1650-1654.
  • 4BERNAL D.Extracting flexibility matrices from state-space realizations:COST F3 Conference[C].Madrid,[s.n.],2000.

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