竖向人-结构相互作用体系理论模型研究
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摘要
随着大跨度和柔性建筑结构的广泛应用,考虑到高密度人群对于结构稳定性及安全性的影响,人-结构相互作用体系的研究显得尤为重要。将串联和并联的两自由度人体模型分别作用于单自由度结构模型,得到三自由度人-结构相互作用体系模型。考虑人体的高阻尼特性,分析人-结构体系的受迫振动运动方程,通过加速度响应函数分析得到体系的共振频率。将模型结果与现有文献报道的试验数据进行对比,结果表明,通过单纯形法对人体参数进行针对性优化后,提出的串联三自由度理论模型可以较为准确地模拟试验结果。
With wide application of large span and flexible structures,it is important to consider the effect of high density population on structural stability and safety,thus studying the interaction between human body and structure becomes critical. Here,the theoretical model of a 3-DOF human-structure interaction system was constructed with a 2-DOF human body model and a single-DOF mass-spring-damper structure model. The forced vibration of the 3-DOF human-structure interaction system was analyzed considering high damping ratio of human body,and the system 's resonant frequencies were obtained through analyzing its acceleration response function. The numerical simulation results of the system model were compared with the test data published in literatures. The results showed that the 3-DOF humanstructure interaction system model proposed here can be used to simulate the test data with a satisfactory accuracy after optimizing parameters of the human body model with the simplex method.
With wide application of large span and flexible structures,it is important to consider the effect of high density population on structural stability and safety,thus studying the interaction between human body and structure becomes critical. Here,the theoretical model of a 3-DOF human-structure interaction system was constructed with a 2-DOF human body model and a single-DOF mass-spring-damper structure model. The forced vibration of the 3-DOF human-structure interaction system was analyzed considering high damping ratio of human body,and the system 's resonant frequencies were obtained through analyzing its acceleration response function. The numerical simulation results of the system model were compared with the test data published in literatures. The results showed that the 3-DOF humanstructure interaction system model proposed here can be used to simulate the test data with a satisfactory accuracy after optimizing parameters of the human body model with the simplex method.
引文
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[18]FAIRLEY T E,GRIFFIN M J.The apparent mass of the seated human body in the fore-and-aft and lateral directions[J].Journal of Sound&Vibration,1990,139(2):299-306.
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[20]WANG D,JI T,ZHANG Q,et al.Presence of resonance frequencies in a heavily damped two-degree-of-freedom system[J].Journal of Engineering Mechanics,2014,140(2):406-417.
[21]JI Tianjian.Qualitative Comparison of Body Models in a Vibration Environment[C]∥Proceedings of the the 41th UKConference on Human Response to Vibration.2006.
[22]MATSUMOTO Y,GRIFFIN M J.Mathematical models for the apparent masses of standing subjects exposed to vertical whole-body vibration[J].Journal of Sound and Vibration,2003,260(3):431-451.
[23]PAVIC A,REYNOLDS P,SACHSE R.Human-structure dynamic interaction in civil engineering dynamics:a literature review[J].Shock&Vibration Digest,2003,35(1):1-54.
[24]秦敬伟,杨庆山,杨娜.人体-结构系统静态耦合的模态参数[J].振动与冲击,2012,31(15):150-157.QIN Jingwei,YANG Qingshan,YANG Na.Modal parameters of static coupling of human body-structure system[J].Journal of Vibration and Shock,2012,31(15):150-157.
[2]JI T,ELLIS B R.Human-structure interaction in vertical vibrations[J].Structures&Buildings,1997,122(1):1-9.
[3]JI T.Qualitative comparison of human body models in a vibrating environment[C]//The 41st United Kingdom Group Meeting on Human Response to Vibration,2006.
[4]SACHSE R,PAVIC A,REYNOLDS P.Parametric study of modal properties of damped two-degree-of-freedom crowdstructure dynamic systems[J].Journal of Sound and Vibration,2004,274(3/4/5):461-480.
[5]SHAHABPOOR E,PAVIC A,RACIC V.Using MSD model to simulate human-structure interaction during walking[M]//Topics in Dynamics of Civil Structures,Volume 4.New York:Springer,2013.
[6]ZHOU D,HAN H,JI T,et al.Comparison of two models for human-structure interaction[J].Applied Mathematical Modelling,2016,40(5/6):3738-3748.
[7]FAIRLEY T E,GRIFFIN M J.The apparent mass of the seated human body:vertical vibration.[J].Journal of Biomechanics,1989,22(2):81-94.
[8]王海,周叮,王曙光.人-梁相互作用动力学模型研究[J].工程力学,2010,27(5):14-20.WANG Hai,ZHOU Ding,WANG Shuguang.Study on the dynamic model of human-beam interaction[J].Engineering Mechanics,2010,27(5):14-20.
[9]韩慧璇,周叮,刘伟庆.静立人群与板联合系统动力学特性研究[J].振动与冲击,2016,35(13):186-193.HAN Huixuan,ZHOU Ding,LIU Weiqing.Study on the dynamics characteristics of the static group and plate system[J].Journal of Vibration and Shock,2016,35(13):186-193.
[10]王益鹤,杨娜.新型双足模型下结构动力响应分析[J].振动与冲击,2016,35(7):31-38.WANG Yihe,YANG Na.Structural dynamic response analysis under a new bipedal model[J].Journal of Vibration and Shock,2016,35(7):31-38.
[11]张琼,南娜娜,朱前坤,等.基于行人动力学模型的人-桥竖向动力相互作用[J].重庆大学学报(自然科学版),2017,40(4):93-100.ZHANG Qiong,NAN Nana,ZHU Qiankun,et al.Humanbridge vertical dynamic interaction based on pedestrian dynamic model[J].Journal of Chongqing University(Natural Science Edition),2017,40(4):93-100.
[12]陈建英,方之楚.人-结构相互作用动力学建模研究[J].振动与冲击,2007,26(6):10-13.CHEN Jianying,FANG Zhichu.Dynamic modeling of humanstructure interaction[J].Journal of Vibration and Shock,2007,26(6):10-13.
[13]谢伟平,冯金鹏,何卫.基于自激励人体模型的人-结构竖向相互作用研究[J].振动与冲击,2017,36(21):28-33.XIE Weiping,FENG Jinpeng,HE Wei.Vertical humanstructure interaction based on self-exciting human model[J].Journal of Vibration and Shock,2017,36(21):28-33.
[14]简方梁,吴定俊,李奇.上海虹桥车站人行走廊人致振动分析[J].振动与冲击,2010,29(8):136-140.JIAN Fangliang,WU Dingjun,LI Qi.Human-induced vibration analysis of pedestrian suspension corridor in Shanghai Hongqiao station[J].Journal of Vibration and Shock,2010,29(8):136-140.
[15]朱前坤,陈凯,杜永峰,等.基于实测数据的行人上下楼梯人体动力学模型[J].振动与冲击,2018,37(4):233-239.ZHU Qiankun,CHEN Kai,DU Yongfeng,et al.Human dynamics model of pedestrians ascending and descending stairs based on measured data[J].Journal of Vibration and Shock,2018,37(4):233-239.
[16]韩小雷,陈学伟,毛贵牛,等.基于人群行走仿真的楼板振动分析方法及反应谱公式推导[J].建筑科学,2009,25(5):4-9.HAN Xiaolei,CHEN Xuewei,MAO Guiniu,et al.Simulation of floor vibration and formulation of response spectrum formula based on crowd walking simulation[J].Science of Architecture,2009,25(5):4-9.
[17]张高明.火车站站房结构在人行和列车激励作用下的振动舒适度问题研究[M].北京:中国建筑科学研究院.2008.
[18]FAIRLEY T E,GRIFFIN M J.The apparent mass of the seated human body in the fore-and-aft and lateral directions[J].Journal of Sound&Vibration,1990,139(2):299-306.
[19]刘晶波,杜修力,欧进萍.结构动力学[M].北京:机械工业出版社,2012.
[20]WANG D,JI T,ZHANG Q,et al.Presence of resonance frequencies in a heavily damped two-degree-of-freedom system[J].Journal of Engineering Mechanics,2014,140(2):406-417.
[21]JI Tianjian.Qualitative Comparison of Body Models in a Vibration Environment[C]∥Proceedings of the the 41th UKConference on Human Response to Vibration.2006.
[22]MATSUMOTO Y,GRIFFIN M J.Mathematical models for the apparent masses of standing subjects exposed to vertical whole-body vibration[J].Journal of Sound and Vibration,2003,260(3):431-451.
[23]PAVIC A,REYNOLDS P,SACHSE R.Human-structure dynamic interaction in civil engineering dynamics:a literature review[J].Shock&Vibration Digest,2003,35(1):1-54.
[24]秦敬伟,杨庆山,杨娜.人体-结构系统静态耦合的模态参数[J].振动与冲击,2012,31(15):150-157.QIN Jingwei,YANG Qingshan,YANG Na.Modal parameters of static coupling of human body-structure system[J].Journal of Vibration and Shock,2012,31(15):150-157.