张拉膜结构在冲击荷载作用下的试验研究
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摘要
通过自制的膜结构试验支架,对正方形的薄膜施加8种不同的预张力,然后在薄膜的垂直方向上施加不同的冲击荷载。通过激光位移传感器和数据采集卡得到了测点的位移时程曲线。在不同预张力下,分析了薄膜的振动频率、振幅、阻尼比的变化规律。试验结果表明:薄膜在同一种冲击荷载作用时,薄膜振动表现出的主振型只有一种;频率与预张力呈线性关系,其振幅呈指数函数衰减。当预张力超过6 kN/m时,最大振幅和振动持续时间趋于稳定。薄膜发生的振动是欠阻尼振动,阻尼比与预张力呈线性递增趋势。
Eight different pretensions were applied to the square membrane by the self-made membrane structure experiment bracket and then the impact loads were applied in the vertical direction of the membrane.The displacement time history curves of the measured points were obtained by the laser displacement sensor and the data acquisition card.The variation of vibration frequency,amplitude and damping ratio of the membrane under different pretensions were analyzed.The results show that there is only one main mode of vibration under the same velocity impact load,and the pretension is linearly related to the frequency and the amplitude attenuates exponentially.When the pretension exceeds 6 kN/m,the maximum amplitude and the vibration time tend to be stable.The pretension and damping ratio show a linear increasing trend.
Eight different pretensions were applied to the square membrane by the self-made membrane structure experiment bracket and then the impact loads were applied in the vertical direction of the membrane.The displacement time history curves of the measured points were obtained by the laser displacement sensor and the data acquisition card.The variation of vibration frequency,amplitude and damping ratio of the membrane under different pretensions were analyzed.The results show that there is only one main mode of vibration under the same velocity impact load,and the pretension is linearly related to the frequency and the amplitude attenuates exponentially.When the pretension exceeds 6 kN/m,the maximum amplitude and the vibration time tend to be stable.The pretension and damping ratio show a linear increasing trend.
引文
[1] 王梦琳.张拉膜结构在历史建筑保护与改造中的应用研究[D].绵阳:西南科技大学,2015.
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[16] 刘平,吴刚,唐柏鉴,等.PVDF涂层织物拉伸力学性能试验研究[J].东南大学学报(自然科学版),2017(6):1195-1200.
[17] 张琳,何玲,庞嵩,等.正交异性膜结构在冲击荷载作用下的振动解析与数值分析[J].四川建筑,2018(2):194-196.
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[19] 黄瑞.阻尼振动的振幅[J].北京师范学院学报(自然科学版),1988(4):81-86.
[2] VEGA D A,VERA S A,LAURA P A A.Fundamental frequency of vibration of rectangular membranes with an internal oblique support[J].Journal of Sound and Vibration,1999,224(4):780-783.
[3] 徐其功,苏建华,韩大建,等.张拉膜结构荷载分析过程的若干问题探讨[J].特种结构,2004(4):9-12.
[4] 陈波,武岳,沈世钊.脊谷式张拉膜结构风振特性分析[J].空间结构,2004(1):41-45.
[5] 刘家喜,余志祥.膜结构设计制作中的几个关键问题[J].四川建筑科学研究,2004(4):25-27.
[6] 尹小明,朱慈勉,王明轩.体育看台索膜结构工程设计[J].工业建筑,2006(增刊1):582-584.
[7] 蔡文琦.索膜结构的形态分析设计及静力性能研究[D].杭州:浙江大学,2006.
[8] 陆鉴恒.索膜结构动力松弛法的研究与改进[D].武汉:华中科技大学,2006.
[9] FOX J W,GOULBOURNE N C.On the dynamic electromechanical loading of dielectric elastomer membranes[J].Journal of the Mechanics and Physics of Solids,2008,56:2669-2686.
[10] FOX J W,GOULBOURNE N C.Electriceld-induced surface transformations and experimental dynamic characteristics of dielectric elastomer membranes[J].Journal of the Mechanics and Physics of Solids,2009,57:1417-1435.
[11] REUTSTIY S Y.Vibration analysis of arbitrarily shaped membranes[J].CMES-Computer Modeling in Engineering & Sciences,2009,51(2):115-142.
[12] 姚哲文.索膜结构自振特性研究[J].山西建筑,2009(7):13-14.
[13] SUHIR E,VUJOSEVIC M,REINIKAINEN T.Nonlinear dynamic response of a “fexible-and-heavy”printed circuit board (PCB) to an impact load applied to its support contour[J].J.Phys.D:Appl.,2009,42:1-9.
[14] 林文静,陈树辉.平面薄膜自由振动的有限元分析[J].动力学与控制学报,2010(3):202-206.
[15] 郭建军.张拉膜结构自振特性试验研究[J].山西建筑,2014(8):35-37.
[16] 刘平,吴刚,唐柏鉴,等.PVDF涂层织物拉伸力学性能试验研究[J].东南大学学报(自然科学版),2017(6):1195-1200.
[17] 张琳,何玲,庞嵩,等.正交异性膜结构在冲击荷载作用下的振动解析与数值分析[J].四川建筑,2018(2):194-196.
[18] 刘长江.建筑膜结构非线性振动及其预张力测量理论和试验研究[D].重庆:重庆大学,2012.
[19] 黄瑞.阻尼振动的振幅[J].北京师范学院学报(自然科学版),1988(4):81-86.
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