高阻尼人-结构系统的共振频率研究
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摘要
基于人体两自由度模型,提出了人-结构相互作用系统的三自由度质量-弹簧-阻尼模型。通过理论推导,得到结构响应的加速度频响函数和体系振动频率与结构频率比值的解析式;并采用Griffin两自由度人体模型的参数,模拟已有的试验成果,反映人-结构系统的动力特性。最后,通过对高阻尼人-结构三自由度模型进行数值分析,探讨了人与结构间的质量比、频率比、阻尼比对人-结构体系共振频率的影响规律。
The three degree-of-freedom model of human body-structure interaction systems was put forward,which was based on human that acts as a two degree-of-freedom. Through theoretical derivation,frequency response functions for acceleration was established in the human-structure interaction system. By using human parameters which were proposed by Griffin,it was applied to simulating test results and reflects dynamic properties of the human-structure interaction system. Finally,by numerical analysis,the effects of various parameters on the resonance frequencies in a heavily damped three degree-of-freedom system were investigated.
The three degree-of-freedom model of human body-structure interaction systems was put forward,which was based on human that acts as a two degree-of-freedom. Through theoretical derivation,frequency response functions for acceleration was established in the human-structure interaction system. By using human parameters which were proposed by Griffin,it was applied to simulating test results and reflects dynamic properties of the human-structure interaction system. Finally,by numerical analysis,the effects of various parameters on the resonance frequencies in a heavily damped three degree-of-freedom system were investigated.
引文
[1]《广州日报》.看台坍塌http://gzdaily.dayoo.com/html/2010-03/14/content_896279.htm.2012.3.4.A8.
[2]孙昊.静立人体—结构竖向相互作用研究[D].南京:南京工业大学,2015.
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[4]Matsumot Y,Griffin M J.The horizontal apparent mass of the standing human body[J].Journal of Sound and Vibration,2011,330(13):3284-3297.
[5]Matsumoto Y,Griffin M J.Dynamic response of the standing human body exposed to vertical,influence of posture and vibration magnitude[J].Journal of Sound and Vibration,1998,212(1):85-107.
[6]Matsumoto Y,Griffin MJ.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.
[7]Foschi R O,Gupta A.Reliability of floors under impact vibration[J].Canadian Journal of Civil Engineering,1961,14(14):683-689.
[8]Ji T,Ellis B R.Human-structure interaction in vertical vibrations[J].Structures&Buildings,1997,122(1):1-9.
[9]Ji T.Qualitative comparison of human body models in a vibrating environment[J].2006.
[10]Zhang Qingwen.Models of a human body in structural vibration[D].Manchester:University of Mancherster,2013.
[11]Shahabpoor E,Pavic A,Racic V.Using MSD Model to Simulate Human-Structure Interaction During Walking[J].Topics in Dynamics of Civil Structures,2013,4(2013):357-364.
[12]杨予,杨云芳,洪震,等.人体站姿竖向振动等效单自由度模型参数研究[J].振动与冲击,2012,31(23):154-157.Yang Yu,Yang Yunfang,Hong Zheng,et al.Parameters of an equivalent SDOF vertical vibration model for a standing human body[J].Journal of Vibration and Shock,2012,31(23),154-157.(in Chinese)
[13]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.Modeling of the dynamic interaction of human occupants and beam[J].Engineering Mechanics,2010,27(5),14-20.(in Chinese)
[14]Wang Dongwei,Ji Tianjian,Zhang Qingwen.The presence of resonance frequencies in a heavily damped two degree-of-freedom system[J].Journal of Engineering Mechanics,2014,140(2),406-417.
[15]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 human body-structure staticiteration systems[J].Journal of Vibration and Shock,2012,31(15):150-157.(in Chinese)
[16]Zhang Q,Ji T.Representation of standing body in the vertical vibration[C].The 45thUK Conference on Human Response to vibration,2010,43:6-8.
[17]Ellis B R,Ji T.The response of structures to dynamic crowd loads[J].Building Research Establishment(BRE),2004,31(15):150-157.
[18]Duarte E,Ji T.Measurement of Human-structure interaction in vertical and lateral directions:a standing body[C].International Conference on Noise and Vibration Engineering,2006,31(20):120-127.
[2]孙昊.静立人体—结构竖向相互作用研究[D].南京:南京工业大学,2015.
[3]Ji T.Understanding the interactions between people and structures[J].The Structural Engineers,2003,81(2003):12-13.
[4]Matsumot Y,Griffin M J.The horizontal apparent mass of the standing human body[J].Journal of Sound and Vibration,2011,330(13):3284-3297.
[5]Matsumoto Y,Griffin M J.Dynamic response of the standing human body exposed to vertical,influence of posture and vibration magnitude[J].Journal of Sound and Vibration,1998,212(1):85-107.
[6]Matsumoto Y,Griffin MJ.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.
[7]Foschi R O,Gupta A.Reliability of floors under impact vibration[J].Canadian Journal of Civil Engineering,1961,14(14):683-689.
[8]Ji T,Ellis B R.Human-structure interaction in vertical vibrations[J].Structures&Buildings,1997,122(1):1-9.
[9]Ji T.Qualitative comparison of human body models in a vibrating environment[J].2006.
[10]Zhang Qingwen.Models of a human body in structural vibration[D].Manchester:University of Mancherster,2013.
[11]Shahabpoor E,Pavic A,Racic V.Using MSD Model to Simulate Human-Structure Interaction During Walking[J].Topics in Dynamics of Civil Structures,2013,4(2013):357-364.
[12]杨予,杨云芳,洪震,等.人体站姿竖向振动等效单自由度模型参数研究[J].振动与冲击,2012,31(23):154-157.Yang Yu,Yang Yunfang,Hong Zheng,et al.Parameters of an equivalent SDOF vertical vibration model for a standing human body[J].Journal of Vibration and Shock,2012,31(23),154-157.(in Chinese)
[13]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.Modeling of the dynamic interaction of human occupants and beam[J].Engineering Mechanics,2010,27(5),14-20.(in Chinese)
[14]Wang Dongwei,Ji Tianjian,Zhang Qingwen.The presence of resonance frequencies in a heavily damped two degree-of-freedom system[J].Journal of Engineering Mechanics,2014,140(2),406-417.
[15]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 human body-structure staticiteration systems[J].Journal of Vibration and Shock,2012,31(15):150-157.(in Chinese)
[16]Zhang Q,Ji T.Representation of standing body in the vertical vibration[C].The 45thUK Conference on Human Response to vibration,2010,43:6-8.
[17]Ellis B R,Ji T.The response of structures to dynamic crowd loads[J].Building Research Establishment(BRE),2004,31(15):150-157.
[18]Duarte E,Ji T.Measurement of Human-structure interaction in vertical and lateral directions:a standing body[C].International Conference on Noise and Vibration Engineering,2006,31(20):120-127.