基于超梁降阶模型的复杂梁式结构动力学模型修正及确认
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摘要
提出了一种基于超梁降阶模型的复杂梁式结构动力学模型修正技术。依据超梁降阶模型理论,并考虑可能的修正参数,将复杂梁式结构降阶为具有较高计算精度的超梁降阶模型;而后,利用基于灵敏度分析及优化算法的模型修正技术,并根据模态测试数据对模型参数进行修正,获得能够准确反映实际结构动力学特征的修正模型。最后,通过多种动力问题分析对修正模型进行评估,并与实际结构的响应结果进行对比。以典型蒙皮加筋圆柱壳为例实现这一过程。结果表明,所提出的模型修正方法具有可行性和较高的计算效率。
A method based on reduced super beam for dynamic model updating of complicated beam-type structures was proposed in this paper.Firstly,a reduced super beam model with high accuracy was constructed for the complicated beam-type structure,considering the possible updating parameters.Then,the model parameters of reduced super beam model were updated using the tested modal data based on sensitivity analysis and optimization algorithm,and then an updated model that can represent the dynamic behavior of the practical structure accurately was obtained.Finally,application in a variety of dynamic problem analysis was performed on the updated model and the updating results were assessed by comparing with the practical structure.A typical stiffened cylindrical shell model,serving as the illustrative example,was employed for model updating and validation.The results demonstrate that the proposed method is valid and efficient.
A method based on reduced super beam for dynamic model updating of complicated beam-type structures was proposed in this paper.Firstly,a reduced super beam model with high accuracy was constructed for the complicated beam-type structure,considering the possible updating parameters.Then,the model parameters of reduced super beam model were updated using the tested modal data based on sensitivity analysis and optimization algorithm,and then an updated model that can represent the dynamic behavior of the practical structure accurately was obtained.Finally,application in a variety of dynamic problem analysis was performed on the updated model and the updating results were assessed by comparing with the practical structure.A typical stiffened cylindrical shell model,serving as the illustrative example,was employed for model updating and validation.The results demonstrate that the proposed method is valid and efficient.
引文
[1]贺尔铭,陈熠,李玉龙,等.机翼双梁模型的动力学修正及应用[J].应用力学学报,2013,30(3):367-372.
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[5]张根辈,臧朝平,王晓伟,等.螺栓连接框架结构的有限元模型修正[J].工程力学,2014,31(4):26-33.
[6]杨春峰,路林华,张盛,等.基于Si PESC.OPT的结构动力模型修正研究[J].大连理工大学学报,2013,53(5):630-636.
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[11]刘继承,周传荣.一个基于优化的有限元模型修正方法[J].振动与冲击,2003,22(2):33-35.
[12]王元清,姚南,张天申,等.基于最优化理论的多阶段模型修正及其在桥梁安全评估中的应用[J].工程力学,2010,27(1):91-97.
[13]Bakira P G,Reynders E,Roeck G D.Sensitivity-based finite element model updating using constrained optimization with a trust region algorithm[J].Journal of Sound and Vibration,2007,305(1-2):211-25.
[14]Weng S,Xia Y,Xu Y,et al..Substructure based approach to finite element model updating[J].Computers and Structures,2011,89(9-10):772-782.
[15]Zhu D P,Dong X J,Wang Y.Substructure model updating through modal dynamic residual approach[C]//Proceedings of the 9th International Workshop on Structural Health Monitoring,Stanford,CA.2013.
[16]Papadimitriou C,Papadioti D C.Component mode synthesis techniques for finite element model updating[J].Computers and Structures,2013,126(15):15-28.
[17]Wang Wensheng,Cheng Gengdong,Li Quhao.Fast dynamic performance optimization of complicated beam type structure based on two new reduced physical models[J].Engineering Optimization,2013,45(7):835-850.
[18]Cheng Gengdong,Wang Wensheng.Fast dynamic analysis of complicated beam-type structure based on reduced super beam model[J].AIAA Journal,2014,52(5):952-963.
[19]李取浩,王文胜,程耿东.基于梁理论的复杂梁式结构低阶频率快速求解方法[J].工程力学,2014,31(11):1-8.
[20]王文胜,程耿东,郝鹏.基于超梁降阶模型的蒙皮加筋圆柱壳频率分析[J].固体火箭技术,2015,38(3):401-406.
[21]Link M,Friswell M I.Generation of validated structural dynamic models:results of a bechmark study utilising the GARTEUR SM-AG19 test-bed[J].Mechanical Systems and Signal Processing,2003,17(1):9-21.
[22]毕司峰,邓忠民.基于随机抽样与距离判别的GARTEUR模型修正与确认研究[J].航空学报,2013,34(12):2757-2767.
[23]Mottershead J E,Link M,Friswell M.The sensitivity method in finite element model updating:A tutorial[J].Mechanical Systems and Signal Processing,2011,25(7):2275-2296.
[24]邱吉宝,向树红,张正平.计算结构动力学[M].合肥:中国科学技术大学出版社,2009.
[25]Modak S V,Kundra T K,Nakra B C.Comparative study of model updating methods using simulated experimental data[J].Computers and Structures,2002,80(5-6):437-47.
[26]Svanber K.The method of moving asymptotes-a new method for structural optimization[J].International Journal for Numerical Methods in Engineering,1987,24(2):359-373.
[2]马双超,臧朝平,兰海波.某航空发动机机匣的动力学模型修正[J].航空动力学报,2013,28(4):878-884.
[3]Mottershead J E,Friswell M I.Model updating in structural dynamics:a survey[J].Journal of Sound and Vibration,1993,167(2):347-375.
[4]韩建平,骆勇鹏,郑沛娟,等.基于响应面的刚构-连续组合梁桥有限元模型修正[J].工程力学,2013,30(12):85-90,106.
[5]张根辈,臧朝平,王晓伟,等.螺栓连接框架结构的有限元模型修正[J].工程力学,2014,31(4):26-33.
[6]杨春峰,路林华,张盛,等.基于Si PESC.OPT的结构动力模型修正研究[J].大连理工大学学报,2013,53(5):630-636.
[7]朱安文,曲广吉,高耀南,等.结构动力模型修正技术的发展[J].力学进展,2002,32(3):337-348.
[8]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.
[9]Brownjohn J M W,Xia P Q,Hao H,et al..Civil structure condition assessment by FE model updating:methodology and case studies[J].Finite Element in Analysis and Design,2001,37(10):761-75.
[10]郑惠强,陈鹏程,宓为建,等.大型桥吊结构动力有限元模型修正[J].同济大学学报,2001,29(12):1412-1415.
[11]刘继承,周传荣.一个基于优化的有限元模型修正方法[J].振动与冲击,2003,22(2):33-35.
[12]王元清,姚南,张天申,等.基于最优化理论的多阶段模型修正及其在桥梁安全评估中的应用[J].工程力学,2010,27(1):91-97.
[13]Bakira P G,Reynders E,Roeck G D.Sensitivity-based finite element model updating using constrained optimization with a trust region algorithm[J].Journal of Sound and Vibration,2007,305(1-2):211-25.
[14]Weng S,Xia Y,Xu Y,et al..Substructure based approach to finite element model updating[J].Computers and Structures,2011,89(9-10):772-782.
[15]Zhu D P,Dong X J,Wang Y.Substructure model updating through modal dynamic residual approach[C]//Proceedings of the 9th International Workshop on Structural Health Monitoring,Stanford,CA.2013.
[16]Papadimitriou C,Papadioti D C.Component mode synthesis techniques for finite element model updating[J].Computers and Structures,2013,126(15):15-28.
[17]Wang Wensheng,Cheng Gengdong,Li Quhao.Fast dynamic performance optimization of complicated beam type structure based on two new reduced physical models[J].Engineering Optimization,2013,45(7):835-850.
[18]Cheng Gengdong,Wang Wensheng.Fast dynamic analysis of complicated beam-type structure based on reduced super beam model[J].AIAA Journal,2014,52(5):952-963.
[19]李取浩,王文胜,程耿东.基于梁理论的复杂梁式结构低阶频率快速求解方法[J].工程力学,2014,31(11):1-8.
[20]王文胜,程耿东,郝鹏.基于超梁降阶模型的蒙皮加筋圆柱壳频率分析[J].固体火箭技术,2015,38(3):401-406.
[21]Link M,Friswell M I.Generation of validated structural dynamic models:results of a bechmark study utilising the GARTEUR SM-AG19 test-bed[J].Mechanical Systems and Signal Processing,2003,17(1):9-21.
[22]毕司峰,邓忠民.基于随机抽样与距离判别的GARTEUR模型修正与确认研究[J].航空学报,2013,34(12):2757-2767.
[23]Mottershead J E,Link M,Friswell M.The sensitivity method in finite element model updating:A tutorial[J].Mechanical Systems and Signal Processing,2011,25(7):2275-2296.
[24]邱吉宝,向树红,张正平.计算结构动力学[M].合肥:中国科学技术大学出版社,2009.
[25]Modak S V,Kundra T K,Nakra B C.Comparative study of model updating methods using simulated experimental data[J].Computers and Structures,2002,80(5-6):437-47.
[26]Svanber K.The method of moving asymptotes-a new method for structural optimization[J].International Journal for Numerical Methods in Engineering,1987,24(2):359-373.
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