含铰可展桁架结构非线性模型修正方法研究

宋正华1,姜 东2,曹芝腑1,韩晓林1,费庆国1

振动与冲击 ›› 2018, Vol. 37 ›› Issue (1) : 21-26.

PDF(886 KB)
PDF(886 KB)
振动与冲击 ›› 2018, Vol. 37 ›› Issue (1) : 21-26.
论文

含铰可展桁架结构非线性模型修正方法研究

  • 宋正华1,姜  东2,曹芝腑1,韩晓林1,费庆国1
作者信息 +

Nonlinear model updating method for deployable trusses with joints

  • SONG Zhenghua1, JIANG Dong2, CAO Zhifu1 , HAN Xiaolin1, FEI Qingguo1
Author information +
文章历史 +

摘要

提出了采用模式搜索法修正含铰桁架中铰链非线性刚度的方法。首先根据描述函数法建立了非线性桁架的动力学模型,假设铰链力学特性呈立方非线性,采用谐波平衡法对桁架结构进行动力学响应分析。在此基础上,以试验和计算频响函数之间的残差最小为目标函数,利用模式搜索法进行铰链非线性刚度修正。以含铰悬臂梁和单跨平面桁架为研究对象,开展仿真研究。在无噪声情况下,对非线性刚度的初始误差分别为15%和50%两种情况,选取合理的迭代步长和收敛准则,能够得到较好的修正结果;当考虑信噪比分别为0.5%,1%和2%时,修正结果误差分别为0.2%, 2.2%, 2.2%;当考虑多修正参数时,修正后非线性刚度的误差分别为1.9%和0.7%。结果表明,本文提出的非线性结构模型修正方法,可以对非线性结构的动力学参数进行修正,该方法具有较高的精度和一定的抗噪能力。

Abstract

An approach for the model updating of the nonlinear stiffness of a truss with joints using the pattern-search method was proposed. The modeling of the nonlinear truss was conducted based on the describing function method. The dynamic responses of the truss were analysed supposing the joints were of cubic nonlinearity. Based on this, an objective function was constructed with the minimum error between the experimental and simulated FRFs and was used to update the stiffness of structure by the pattern-search method. A cantilever beam with one joint and a one-bay truss were taken as the objectives of simulation. The initial errors of nonlinear stiffness are 15% and 50% respectively in these two cases without noises and a reasonable step size and convergence criteria were chosen to improve the accuracy of the updated stiffness. When the FRF data are contaminated by noise of 0.5%, 1%, 2%, the errors of updated stiffness are 0.2%, 2.2%, 2.2%, respectively. When multiple parameters are needed to be updated, the errors of the results are only 1.9% and 0.7%, respectively. These results demonstrate that the pattern search method is an effective method for nonlinear structural model updating.
 

关键词

铰链 / 可展桁架 / 频响函数 / 非线性 / 模型修正

Key words

joint / deployable truss / frequency response function / nonlinearity / model updating

引用本文

导出引用
宋正华1,姜 东2,曹芝腑1,韩晓林1,费庆国1 . 含铰可展桁架结构非线性模型修正方法研究[J]. 振动与冲击, 2018, 37(1): 21-26
SONG Zhenghua1, JIANG Dong2, CAO Zhifu1,HAN Xiaolin1, FEI Qingguo1. Nonlinear model updating method for deployable trusses with joints[J]. Journal of Vibration and Shock, 2018, 37(1): 21-26

参考文献

[1] Brown M A. A Deployable mast for solar sails in the range of 100-1000m [J]. Advances in Space Research, 2011, 48(11): 1747-1753.
[2] 赵林燕. 星载可展开天线展开过程的仿真与分析[D]. 西安: 西安电子科技大学, 2011:1-6. Zhao Lin-yan. The simulation and analysis of spaceborne deployable antenna [D]. Xi’an: Xidian University, 2011:1-6.
[3] 郭宏伟, 刘荣强, 邓宗全. 空间索杆铰接式伸展臂性能参数分析与设计[J]. 北京航空航天大学学报, 2008, 24(10): 1186-1190.
Guo Hong-wei, Liu Rong-qiang, Performance of parameters analysis and design of space cable-strut deployable articulated mast[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 24(10): 1186-1190.
[4] Ferney B D, Folkman S L. Results of force-state mapping tests to characterize struts using pinned joints[C]. Proceedings of the 36th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. 1995.
[5] Folkmant S L. Bingham J G, Crookston J R.  The joint damping experiment[R]. NASA,1997.
[6] Tomihiko Y. Dynamic characteristic formulations for jointed space structures[J]. Journal of Spacecraft and Rockets, 2006, 43(4): 771-779.
[7] Bowden M L. Dynamics of space structures with nonlinear joints[D]. Massachusetts Institute of Technology, 1988.
[8] Webster M S. Modeling beam-like space trusses with nonlinear joints with application to control[D]. Cambridge: Department of Aeronautics And Astronautics, Massachusetts Institute of Technology. 1991.
[9] Sarkar S, Venkatraman K, Dynamics of flexible structures with nonlinear joints[J]. Journal of Vibration and Acoustics, 2004, 126(1): 92-100.
[10] 黄铁球, 吴德隆, 阎绍泽. 带间隙伸展机构的非线性动力学建模[J]. 中国空间科学技术,  1999, 19(1): 7-13.
Huang Tie-qiu, Wu De-long, Yan Shao-ze. Nonlinear dynamic modeling of deployable structures with clearance[J]. Chinese Space Science and Technology, 1999, 19(1): 7-13.
[11] 陈鹿民, 阎绍泽等. 含间隙铰空间可展桁架结构的动力学实验研究[J].清华大学学报, 2003, 43(8): 1027-1030.
Cheng Lu-min, Yan Shao-ze, et al. Dynamics experiment of a space deployable truss structure with joint clearance[J]. Journal of Tsinghua University, 2003, 43(8): 1027-1030.
[12] 尉立肖, 刘才山. 圆柱铰间隙运动学分析及动力学仿真[J]. 北京大学学报, 2005, 41(5): 679-687.
Wei Li-xiao, Liu Cai-shan. Kinematic analysis and dynamics simulation of cylinder joint clearance[J]. Journal of Peking University, 2005, 41(5): 679-687.
[13] 阎绍泽, 叶青, 申永胜, 等. 间隙对空间可展结构动力学性能的影响[J]. 导弹与航天运载技术, 2002(6): 42-46.
Yan Shao-ze, Ye Qing, Shen Yong-sheng, et al. Effects of clearances on dynamic performances of deployable structures for spacecraft[J]. Missiles and Space Vehicles. 2002(6): 42-46.
[14] Jiang Dong,Zhang Peng,Fei Qing-guo ,Wu Shao-qing. Comparative study of model updating methods using frequency response function data[J]. Journal of Vibroengineering, 2014, 16(5): 2305-2318.
[15] 费庆国, 李爱群, 张令弥. 基于神经网络的非线性结构有限元模型修正研究[J]. 宇航学报, 2005, 26(3):267-269.
Fei Qing-guo, Li Ai-qun, Zhang Ling-mi. Research on updating of finite element model of nonlinear structures based on neural network[J]. Journal of Astronautics, 2005, 26(3):267-269.
[16] Tang Jiashi, HuoQuangzhong. Identifying Parameters of Nonlinear System in Time Domain by the Response of Free Vibration[J]. Journal of Vibration Engineering,1989,2:6-6(in Chinese).
[17] Peng jiehua. Frequency method of parameter identification of nonlinear systems[J]. Journal of Shaoyang University,2004:3-10.
[18] Yasuda, Kawamura. Identification of nonlinear multi-degree-of-freedom systems[J]. JSME InternationalJournal,1988,31(1):8-1.
[19] 马睿, 姜东, 费庆国, 等. 考虑重力影响的太阳翼模型修正方法研究[J]. 宇航学报, 2014, 12: 1373-1378.
Ma Rui, Jiang Dong, Fei Qing-guo, et al. A model updating method for solar array considering the influence of gravity. Journal of Astronautics, 2014, 12: 1373-1378.
[20] 刘延柱,陈立群,陈文良.振动力学[M]. 北京: 高等教育出版社, 2011.
[21] 李伟明, 洪嘉振. 基于频响函数的模型修正方法[J]. 上海交通大学学报, 2011, 10: 1455-1459.
Li Wei-ming, Hong Jia-zhen. Research on model updating method based on frequency response functions. Journal of Shanghai Jiaotong University, 2011, 10: 1455-1459.

PDF(886 KB)

Accesses

Citation

Detail

段落导航
相关文章

/