机器扰力作用下楼板振动响应的概率分析
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摘要
机器扰力随机器开启时间间隔以及扰频变化呈随机性,为了研究在该随机机器激励下楼板的振动问题,结合某生产车间技改后楼板出现振动的工程实例,根据现场实测振动加速度样本数据,拟合出不同线体工作下的概率密度分布函数,与其直方图分布进行比较,利用MATLAB正态分布概率纸对其分布进行检验,并对其合成幅值进行可靠性分析。分析表明当开启机器不少于6台时楼板的响应呈正态分布特征,且拟合的正态分布概率密度函数与统计直方图分布较吻合。
The machine force is stochastic with the change of starting time and frequency.The vibration problem of a slab under this type of force is studied.Based on the testing sample data of acceleration from an engineering project,the probability density function(PDF) of different lines were fitted and used to compare with the histograms.Using the normal distribution probability tool of MATLAB,the distribution funtion was checked.The reliability of the vibration amplitude was analyzed.The results present that,when the number of machines at work is not less than 6,the resopnse is normal distributed,and the fitted normal distribution PDF function is agreed well with the statistics histogram.
The machine force is stochastic with the change of starting time and frequency.The vibration problem of a slab under this type of force is studied.Based on the testing sample data of acceleration from an engineering project,the probability density function(PDF) of different lines were fitted and used to compare with the histograms.Using the normal distribution probability tool of MATLAB,the distribution funtion was checked.The reliability of the vibration amplitude was analyzed.The results present that,when the number of machines at work is not less than 6,the resopnse is normal distributed,and the fitted normal distribution PDF function is agreed well with the statistics histogram.
引文
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[2]Howard C Q,Hansen C H.Vibration analysis of waf-fle floors[J].Computers&Structures,2003,81(1):15-26.
[3]Kelly S G.Mechanical vibrations:theory and applica-tions[M].2nd Edition.Boston:Allyn and BaconInc,1995.
[4]张誉,顾祥林.机器上楼动力响应工程实例分析[J].结构工程师,1991,7(2):34-38.Zhang Yu,Gu Xianglin.Dynamic response analysisof an engineering project caused by machine upstairs[J].Structural Engineering,1991,7(2):34-38.(in Chinese)
[5]刘明威,王孟政.多扰力下楼板响应迭加的概率分析[J].哈尔滨建筑工程学院学报,1982,15(4):81-93.Liu Mingwei,Wang Mengzheng.Probability analysisof floor slab's response amplitude under multi-distur-bing loading[J].Journal of Harbin University of CivilEngineering and Architecture,1982,15(4):81-93.(in Chinese)
[6]刘明威,丁建华.多扰力下楼板振动的非数定分析方法[J].哈尔滨建筑工程学院学报,1991,24(3):18-27.Liu Minwei,Ding Jianhua.A non-deterministic anal-ysis method of floor slab vibration under multi-distur-bing loading[J].Journal of Harbin University of CivilEngineering and Architecture,1991,24(3):18-27.(in Chinese)
[7]丁建华,孙宝华,李冀龙.楼板振动概率分析的微分方程方法[J].地震工程与工程振动,1997,17(1):102-108.Ding Jianhua,Sun Baohua,Li Jilong.Differential e-quation method of floor vibration probability analysis[J].Earthquake Engineering and Engineering Vibra-tion,1997,17(1):102-108.(in Chinese)
[8]张德丰.MATLAB概率与数理统计分析[M].北京:机械工业出版社,2010.Zhang Defeng.MATLAB probability and mathemati-cal statistics analysis[M].Beijing:China MachinePress,2010.(in Chinese)
[9]李敏锋.机器激励下房屋振动的测试及分析研究[D].上海:同济大学,2012.Li Minfeng.Vibration test and analysis of existingbuilding under machine excitation[D].Shanghai:Tongji University,2012.(in Chinese)
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