以测力板直接测试结果为基础的步行荷载建模方式,存在有不能准确反映结构上行人真实步态的疑问。为此,本文利用遗传算法,研究由结构响应识别步行荷载的反问题建模方式。首先在傅立叶级数荷载模型基础上,考虑步行的双支撑特征,分别以结构位移响应功率谱及位移时程一致为目标函数,建立了两阶段遗传算法识别步行荷载参数的方法。进而通过荷载模型和实测荷载的识别分别检验了算法的准确性和适用性,识别结果表明前五阶动载因子、相位以及步行频率等十一个控制参数的识别效果较好,算法具有鲁棒性。
Abstract
The walking load modeling method based on direct test results of a force-measuring plate has a problem being not able to reflect pedestrian’s true gait on a structure. Here, a genetic algorithm was used to study the inverse problem modeling method of recognizing walking load with structural responses. Firstly, based on Fourier series load model, considering double-support feature of walking, taking structural displacement response power spectrum and displacement response time history as objective functions, the two-stage genetic algorithm was built to identify walking load parameters. Then, the correctness and applicability of the proposed algorithm were verified through identification of the load model and the actual measured load, respectively. The recognition results showed that the recognition effect of 11 control parameters including the first five orders dynamic load factors, phase and walking frequency, etc. is better; the proposed algorithm is robust.
关键词
荷载识别 /
遗传算法 /
傅立叶级数模型 /
步行荷载
{{custom_keyword}} /
Key words
load identification /
genetic algorithm /
Fourier series model /
walking load
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] Wolmuth B, Surtees J. Crowd-related failure of bridges[J]. Proceedings of the ICE-Civil Engineering.Thomas Telford Ltd, 2003, 156:116-123.
[2] Galbraith F W, Barton M V. Ground loading from footsteps[J]. The Journal of the Acoustical Society of America. 1970,48(5B): 1288-1292.
[3] Ellingwood B, Tallin A. Structural serviceability: floor vibrations[J]. Journal of Structural engineering. 1984,110(2):401-418.
[4] Bachmann H, Ammann W. Vibrations in structures: Induced by man and machine[J]. Iabse.1987.
[5] Zivanovic S, Pavic A, Reynolds P. Probability-based prediction of multi-mode vibration response to walking excitation[J]. Engineering Structures. 2007,29(6):942 -954.
[6] 陈隽, 彭怡欣, 王玲. 基于步态分析技术的三向单足落步荷载曲线试验建模[J],土木工程学报.2014, 47(3): 79-87.
CHEN Jun, PENG Yixin,WANG Ling. Experimental investigation and mathematical modeling of single footfall load using motion capture technology[J]. China Civil Engineering Journal. .2014, 47(3): 79-87
[7] 汪明. 基于结构响应的步行荷载识别研究[D].上海:同济大学,2017.
WANG Ming. Walking Load Identification Based on Structural Response[D]. Shanghai: Tongji University,2017.
[8] 陈隽. 人致荷载与人致结构振动[M]. 北京: 科学出版社, 2016.
CHEN Jun. Human induced load and human induced structural vibration [M]. Science Press. 2016.
[9] 陈隽.人致荷载研究综述[J].振动与冲击.2017.36(23):1-9.
CHEN Jun. A review of human- induced loads Study[J]. Journal of vibration and shock. 2017.36(23):1-9.
[10] Chopra A K. Dynamics of Structures: Theory and Applications to Earthquake Engineering[M]. Fourth Edition ed. America: Prentice hall, 2011.
[11] 史峰,王辉等.MATLAB智能算法30个案例分析[M].北京:北京航空航天大学出版社,2012.
SHI Feng, WANG Hui et al. 30 Case Analysis of MATLAB Intelligent Algorithm [M]. Beijing: Beijing University of Aeronautics and Astronautics Press, 2012.
[12] CODeM. Genetic Algorithms Toolbox [EB/OL]. http://codem.group.shef.ac.uk/. 2013.
[13] 陈隽,王浩祺,彭怡欣. 行走激励的傅立叶级数模型及其参数的实验研究[J]. 振动与冲击,2014, 33(8): 11-15.
CHEN Jun, WANG Haoqi, PENG Yixin. Experimental Investigation on Fourier-series model of walking load and its coefficients[J]. Journal of vibration and shock. 2014, 33(8): 11-15.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}