基于自适应模拟退火遗传算法的传感器优化配置研究
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摘要
针对传感器优化配置组合优化问题,提出了一种基于模态置信度准则MAC的优化算法——自适应模拟退火遗传算法。以模态置信度MAC矩阵的最大非对角元的值极小为目标函数,针对满足传感器数量不变的约束条件问题,提出了二重结构编码遗传算法,并将传统的模拟退火算法改良后,作为一个独立的算子置于遗传算法进化过程中;为了避免出现过早收敛的现象,引入了自适应交叉和变异概率。算例结果表明该混合算法对传感器数目与位置同时实现了优化,得到了满足不同精度要求的传感器优化配置方案。
This paper presents an improved adaptive simulated annealing genetic algorithms of optimal sensor placement(OSP) based on Modal Assurance Criterion(MAC).Taking the maximum off-diagonal element of the MAC matrix as a target function and the sensor number as a constraint condition,a dualistic coding genetic algorithm is developed which improve the traditional simulation annealing algorithms and use it as an independent operator of GA.Therefore,adaptive crossover and mutation probabilities are adopted to prevent premature convergence.Example results clearly indicate that the method is feasible in optimal sensor placement and number selection,and optimal placement for different accuracy requirement is obtained.
This paper presents an improved adaptive simulated annealing genetic algorithms of optimal sensor placement(OSP) based on Modal Assurance Criterion(MAC).Taking the maximum off-diagonal element of the MAC matrix as a target function and the sensor number as a constraint condition,a dualistic coding genetic algorithm is developed which improve the traditional simulation annealing algorithms and use it as an independent operator of GA.Therefore,adaptive crossover and mutation probabilities are adopted to prevent premature convergence.Example results clearly indicate that the method is feasible in optimal sensor placement and number selection,and optimal placement for different accuracy requirement is obtained.
引文
[1]袁慎芳.结构健康监控[M].北京:国防工业出版社,2007.
[2]董晓马.智能结构的损伤诊断研究及其传感器优化配置[M].郑州:黄河水利出版社,2008.
[3]许强.模态测试中传感器优化布设的初步研究[D].重庆:重庆交通大学,2007.Xu Qiang.Preliminary research of optimal sensorplacement algorithms for model measurement[D].Chongqing:Chongqing Jiaotong University,2007.
[4]Roy Tarapada.Genetic algorithm based optimal de-sign for vibration control of composite shell structuresusing piezoelectric senso and actuators[J].Interna-tional Journal of Mechanics and Materials in Design,2009,5(1):45—60.
[5]JoséM Simōes Moita,Victor M Franco Correia,Pe-dro G Martins,et al.Optimal design in vibration con-trol of adaptive structures using a simulated annealingalgorithm[J].Composite Structures,2006,75:79—87.
[6]Ozdamar Linet Pedamallu,Chandra Sekhar.Newsimulated annealing algorithms for constrained opti-mization[J].Asia-Pacific Journal of Operational Re-search,2010,27(3):347—367.
[7]宗周红,孙建林,徐立群,等.大跨度连续刚构桥健康监测加速度传感器优化布置研究[J].地震工程与工程振动,2009,29(2):150—158.Zong Zhou-hong,Sun Jian-lin,Xu Li-qun,et al.Study on optimal placement of acceleration sensors forhealth monitoring of a long-span continuous rigid-frame bridge[J].Journal of Earthquake Engineeringand Engineering Vibration,2009,29(2):150—158.
[8]刘娟,黄维平.二重结构编码遗传算法在传感器配置中的应用[J].振动、测试与诊断,2004,24(4):281—284.Liu Juan,Huang Wei-ping.Application of dualisticcoding genetic algorithms to sensor placement[J].Journal of Vibration,Measurement&Diagnosis,2004,24(4):281—284.
[2]董晓马.智能结构的损伤诊断研究及其传感器优化配置[M].郑州:黄河水利出版社,2008.
[3]许强.模态测试中传感器优化布设的初步研究[D].重庆:重庆交通大学,2007.Xu Qiang.Preliminary research of optimal sensorplacement algorithms for model measurement[D].Chongqing:Chongqing Jiaotong University,2007.
[4]Roy Tarapada.Genetic algorithm based optimal de-sign for vibration control of composite shell structuresusing piezoelectric senso and actuators[J].Interna-tional Journal of Mechanics and Materials in Design,2009,5(1):45—60.
[5]JoséM Simōes Moita,Victor M Franco Correia,Pe-dro G Martins,et al.Optimal design in vibration con-trol of adaptive structures using a simulated annealingalgorithm[J].Composite Structures,2006,75:79—87.
[6]Ozdamar Linet Pedamallu,Chandra Sekhar.Newsimulated annealing algorithms for constrained opti-mization[J].Asia-Pacific Journal of Operational Re-search,2010,27(3):347—367.
[7]宗周红,孙建林,徐立群,等.大跨度连续刚构桥健康监测加速度传感器优化布置研究[J].地震工程与工程振动,2009,29(2):150—158.Zong Zhou-hong,Sun Jian-lin,Xu Li-qun,et al.Study on optimal placement of acceleration sensors forhealth monitoring of a long-span continuous rigid-frame bridge[J].Journal of Earthquake Engineeringand Engineering Vibration,2009,29(2):150—158.
[8]刘娟,黄维平.二重结构编码遗传算法在传感器配置中的应用[J].振动、测试与诊断,2004,24(4):281—284.Liu Juan,Huang Wei-ping.Application of dualisticcoding genetic algorithms to sensor placement[J].Journal of Vibration,Measurement&Diagnosis,2004,24(4):281—284.
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