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伊廷华,李宏男,王国新.基于简化模型的超高层结构传感器优化布置[J].计算力学学报,2008,25(4):
 
基于简化模型的超高层结构传感器优化布置
Optimal sensor placement for super high-rise building based on simplified finite element model
  
DOI:10.7511/jslx20084081
中文关键词:  优化布置  模态置信度  QR分解  多自由度体系  超高层结构
英文关键词:optimal sensor placement,modal assurance criterion,QR-factorization,series of multidegree-of freedom,super high-rise building
基金项目:高等学校学科创新引智计划,教育部长江学者和创新团队发展计划,国家自然科学基金,高等学校博士学科点专项科研项目,中国博士后科学基金,沈阳建筑大学结构工程省级重点实验室开放基金
伊廷华  李宏男  王国新
大连理工大学海岸和近海工程国家重点实验室
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中文摘要:
      对于自由度较多的超高层结构,传感器优化布置时应考虑多阶模态振型.由于存在空间耦合振动,根据振型质量参与系数难以准确选择出结构弱轴方向的高阶振型.基于等效刚度参数识别法,本文提出了一种将有限元模型沿弱轴方向先简化为等效串联多自由度体系,然后根据简化结构的物理参数来计算弱轴方向振型矩阵的方法,有效地解决了这一问题.以某超高层结构为例,根据计算得到的系统振型矩阵,首先由其转置的列主元QR分解得到传感器的初始布置方案,然后以模态置信度(MAC)矩阵的最大非对角元为目标函数,采用逐步累积算法逐步增加可降低此初始布置MAC非对角元的结构自由度,并考虑经济性因素,最终确定出了传感器的布置方案.
英文摘要:
      The problem of sensor placement for a super high-rise building is discussed.Since the number of degree-of-freedom(DOF) of structure is large,multi-modes should be selected to describe the dynamic behavior of a structural system with sufficient accuracy to allow its health state to be determined effectively.A fundamental problem in analysis is how to accurately select the high-order modes.For this,a novel method computing the mode shape matrix of weak axis by simplified series multidegree-of-freedom system is developed based on the equivalent rigidity parameter identification method.The initial sensor assignment is obtained by the QR-factorization of the transpose of structural mode shape matrix.Taking the maximum off-diagonal element of the modal assurance criterion(MAC) matrix as a target function,adds one more sensor each time until the maximum off-diagonal element of MAC reaches the threshold.Considering the economic factor,the final plan of sensor placement of the building is determined.
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