输入未知情况下结构复合反演的两步法
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摘要
研究了输入未知条件下的参数识别问题。针对剪切型结构,提出了其在一类特殊未知载荷下的复合反演算法,此方法假设结构各层上的未知输入之间成比例关系,在不知道这些比例关系的情况下,分两步进行复合反演:第一步,假设某一层上的未知输入为基本未知输入,利用子结构技术,采用遗传算法识别子结构参数和子结构上未知输入之间的比例关系,进而求出基本未知输入;第二步,在基本未知输入已知的情况下,通过最小二乘算法识别其余各层的未知参数和其余各层上未知输入与基本未知输入之间的比例关系。此方法在类似风荷载作用未知情况下的复合反演中具有重要意义,最后用剪切型数值算例验证了算法的合理性。
In this paper, structural system identification without input information is studied. To shear-typed building under a special kind of unknown input, a new method is proposed to inverse load process and estimate structural parameters. In this method, the unknown inputs acting on different floors are supposed to be proportional and the computing process can be divided into two steps. By defining a basal unknown input, this problem is changed to obtain the basal unknown input, the structural parameters and the proportion coefficients of the rest unknown inputs relative to basal unknown input. In the first step, a two-floor sub-structure including the basal unknown input is used, applying Genetic Algorithm, the unknown parameters of the sub-structure, the basal unknown input and one proportion coefficient can be solved respectively. In the second step, using the basal unknown input obtained before, the least-square method is applied to solve the inversion problem of the rest unknown structural parameters and the rest proportion coefficients of the whole structure. Due to not needing the proportional coefficients beforehand, this method have a wide range of application background. At last, a numerical example is used and the results show that this method can effectively identify the structural parameters and the unknown inputs.
In this paper, structural system identification without input information is studied. To shear-typed building under a special kind of unknown input, a new method is proposed to inverse load process and estimate structural parameters. In this method, the unknown inputs acting on different floors are supposed to be proportional and the computing process can be divided into two steps. By defining a basal unknown input, this problem is changed to obtain the basal unknown input, the structural parameters and the proportion coefficients of the rest unknown inputs relative to basal unknown input. In the first step, a two-floor sub-structure including the basal unknown input is used, applying Genetic Algorithm, the unknown parameters of the sub-structure, the basal unknown input and one proportion coefficient can be solved respectively. In the second step, using the basal unknown input obtained before, the least-square method is applied to solve the inversion problem of the rest unknown structural parameters and the rest proportion coefficients of the whole structure. Due to not needing the proportional coefficients beforehand, this method have a wide range of application background. At last, a numerical example is used and the results show that this method can effectively identify the structural parameters and the unknown inputs.
引文
[1]续秀忠,华宏星,陈兆能,等.基于环境激励的模态参数辨识方法综述[J].振动与冲击,2002,21(3):1-5
[2]Ki,K,Stato,T.Identification of structural parame-ters and input ground motion from response time his-tory[J].J.Stru.Eng.,1989,6(2):413-421
[3]KoZin,F.Estimation of parameters for system driv-en by white noise excitation[A].Proc of INTAM symp on Random Vibrations and Reliability[C].Frankfurt Ioder,Germany,Henning klaus,Ed,1985.163-173
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[5]李杰,陈隽.输入未知条件下结构物理参数识别方法研究[J].计算力学学报,1997,16(1):32-40
[6]李杰,陈隽.结构参数未知条件下的地震动反演研究[J].地震工程与工程振动,1997,17(3):27-32
[7]李国强,陆烨.弯曲型结构层间物理参数识别的子结构法[J].世界地震工程,2000,16(1):1-9
[8]Jun-Seong Choi,Jong Seh Lee.Input and System I-dentification of the Hualien Soil-Structure Interaction System Using Earthquake Response Data[J].Earth-quake Engineering and Structural Dynamics.2003,(32):1955-1975
[9]李杰,陈隽.结构参数未知条件下的地震动反演研究[J].地震工程与工程振动,1997,17(3):27-32
[10]李杰,陈隽.部分输入未知时求解动力复合反演问题的补偿算法[J].计算力学学报,2002,19(3):310-314
[11]陈隽,史凯.高层建筑损伤识别中的补偿算法[J].振动与冲击,2002,21(2):24-27
[2]Ki,K,Stato,T.Identification of structural parame-ters and input ground motion from response time his-tory[J].J.Stru.Eng.,1989,6(2):413-421
[3]KoZin,F.Estimation of parameters for system driv-en by white noise excitation[A].Proc of INTAM symp on Random Vibrations and Reliability[C].Frankfurt Ioder,Germany,Henning klaus,Ed,1985.163-173
[4]冯新,陈健云.一种结构参数识别的二阶段法[J].计算力学学报,2002,19(2):222-225
[5]李杰,陈隽.输入未知条件下结构物理参数识别方法研究[J].计算力学学报,1997,16(1):32-40
[6]李杰,陈隽.结构参数未知条件下的地震动反演研究[J].地震工程与工程振动,1997,17(3):27-32
[7]李国强,陆烨.弯曲型结构层间物理参数识别的子结构法[J].世界地震工程,2000,16(1):1-9
[8]Jun-Seong Choi,Jong Seh Lee.Input and System I-dentification of the Hualien Soil-Structure Interaction System Using Earthquake Response Data[J].Earth-quake Engineering and Structural Dynamics.2003,(32):1955-1975
[9]李杰,陈隽.结构参数未知条件下的地震动反演研究[J].地震工程与工程振动,1997,17(3):27-32
[10]李杰,陈隽.部分输入未知时求解动力复合反演问题的补偿算法[J].计算力学学报,2002,19(3):310-314
[11]陈隽,史凯.高层建筑损伤识别中的补偿算法[J].振动与冲击,2002,21(2):24-27
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