基于人工神经网络的藏式结构有限元模型修正
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摘要
针对典型藏式传统建筑年代久远、建造过程无设计图纸、存在太多不确定性,通过有限元数值分析所得结果与实验结果不能较好吻合问题,建立所测结构的有限元模型,并通过人工神经网络方法,以实测结构模态参数为目标对典型藏式结构的有限元模型中部分不确定因素—梁及雀替的等效变截面梁高、材料密度及弹性模量进行修正,得到更接近真实状态的有限元模型。该模型对该典型藏式结构的损伤识别、可靠度评估具有重要意义。
Most of Tibetan-style ancient structures are age-old,and there are no design drawings in the construction process,so a lot of uncertain factors may appear in the structural analysis.The results obtained by finite element analysis usually can not be in good agreement with experimental results.When the error between them is larger,the dynamic characteristics of the structural model acquired by the finite element method and the actual measurement may have greater discrepancy,even beyond the engineering precision required in practice.The finite element model of the measured structure was modified to make it closer to the true state by using the artificial neural network(ANN) method.In the method,the measured modal parameters were adopted as the target to update some uncertain factors of the finite element model of a typical Tibetan structure,such as the height of equivalent non-uniform beam,the material density and the elastic modulus.The finite element model after updating is significant for damage identification and reliability assessment of typical Tibetan structures.
Most of Tibetan-style ancient structures are age-old,and there are no design drawings in the construction process,so a lot of uncertain factors may appear in the structural analysis.The results obtained by finite element analysis usually can not be in good agreement with experimental results.When the error between them is larger,the dynamic characteristics of the structural model acquired by the finite element method and the actual measurement may have greater discrepancy,even beyond the engineering precision required in practice.The finite element model of the measured structure was modified to make it closer to the true state by using the artificial neural network(ANN) method.In the method,the measured modal parameters were adopted as the target to update some uncertain factors of the finite element model of a typical Tibetan structure,such as the height of equivalent non-uniform beam,the material density and the elastic modulus.The finite element model after updating is significant for damage identification and reliability assessment of typical Tibetan structures.
引文
[1]王锦文.深圳市民中心屋顶网架结构的有限元模型修正及模态参数识别[D].武汉:武汉理工大学,2002.
[2]郑毅敏,孙华华,赵昕,等.大跨度高空钢结构连廊的有限元模型修正[J].振动工程学报,2009,22(1):105-110.ZHENG Yi-min,SUN Hua-hua,ZHAO Xin,et al,Finite element model updating of a long-span steel skybridge[J].Journal of Vibration Engineering,2009,22(1):105-110.
[3]张德丰.MATLAB神经网络仿真与应用[M].北京:电子工业出版社,2009.
[4]谭冬梅.基于神经网络的空间网架有限元模型修正[D].武汉:武汉理工大学,2003.
[5]费庆国,张令弥.基于径向基神经网络的有限元模型修正研究[J].南京航空航天大学学报,2004,36(6):748-752.FEI Qing-guo,ZHANG Ling-mi.Finite element model updating using radial basis function neural network[J].Journal of Nanjing University of Aeronautics&Astronautics,2004,36(6):748-752.
[6]王博,吕正勋,何伟,等.结构动力模型修正方法研究与进展[J].水利与建筑工程学报,2009,7(1):16-19.WANG Bo,LZheng-xun,HE Wei,et al,Research and progress on updating method for dynamic model of structure[J].Journal of Water Resources and Architectural Engineering,2009,7(1):16-19.
[7]阿旺罗丹,次多,普次,著.西藏藏式建筑总览[M].成都:四川美术出版社,2007.
[8]郭婷.藏式古建结构的人致荷载分析[D].北京:北京交通大学,2009.
[9]李辉,丁桦.结构动力模型修正方法研究进展[J].力学进展,2005,35(2):170-180.LI Hui,DING Hua.Progress in model updating for structural dynamics[J].Advances in Mechanics,2005,35(2):170-180.
[10]Chang C C,Xu Y G,To W M.Selection of training samples for model updating using neural networks[J].Journal of Sound and Vibration,2002,249(5):867-883.
[2]郑毅敏,孙华华,赵昕,等.大跨度高空钢结构连廊的有限元模型修正[J].振动工程学报,2009,22(1):105-110.ZHENG Yi-min,SUN Hua-hua,ZHAO Xin,et al,Finite element model updating of a long-span steel skybridge[J].Journal of Vibration Engineering,2009,22(1):105-110.
[3]张德丰.MATLAB神经网络仿真与应用[M].北京:电子工业出版社,2009.
[4]谭冬梅.基于神经网络的空间网架有限元模型修正[D].武汉:武汉理工大学,2003.
[5]费庆国,张令弥.基于径向基神经网络的有限元模型修正研究[J].南京航空航天大学学报,2004,36(6):748-752.FEI Qing-guo,ZHANG Ling-mi.Finite element model updating using radial basis function neural network[J].Journal of Nanjing University of Aeronautics&Astronautics,2004,36(6):748-752.
[6]王博,吕正勋,何伟,等.结构动力模型修正方法研究与进展[J].水利与建筑工程学报,2009,7(1):16-19.WANG Bo,LZheng-xun,HE Wei,et al,Research and progress on updating method for dynamic model of structure[J].Journal of Water Resources and Architectural Engineering,2009,7(1):16-19.
[7]阿旺罗丹,次多,普次,著.西藏藏式建筑总览[M].成都:四川美术出版社,2007.
[8]郭婷.藏式古建结构的人致荷载分析[D].北京:北京交通大学,2009.
[9]李辉,丁桦.结构动力模型修正方法研究进展[J].力学进展,2005,35(2):170-180.LI Hui,DING Hua.Progress in model updating for structural dynamics[J].Advances in Mechanics,2005,35(2):170-180.
[10]Chang C C,Xu Y G,To W M.Selection of training samples for model updating using neural networks[J].Journal of Sound and Vibration,2002,249(5):867-883.