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弹性地基处周期性圆形钢筋混凝土管道振动特性分析

Vibration Characteristics Analysis of Periodic Circular Reinforced Concrete Pipe on Elastic Foundation
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摘要 针对弹性地基处周期性钢筋混凝土管道的波动特性,基于声子晶体理论和Flugge壳体理论,建立了圆形管道环径向轴对称波动微分方程,利用传递矩阵法建立了相邻胞元间的传递矩阵,数值分析了周期性管道结构的能带特性。结果表明,振动波在传播过程中存在禁带域和通带域,弹性地基对弯曲波在特定频率范围内的传播具有抑制作用,长度比的变化对周期性圆形混凝土管道禁带的幅值、宽度和个数影响显著,因此可通过调整结构尺寸参数改变结构中波的传播特性。 Based on the phononic crystal theory and Flugge shell theory,the radial axi-symmetric vibration equations of circular pipe was established,and the transfer matrix between the adjacent cells was derived with the transfer matrix method.The effects of elastic foundations modulus and geometric sizes on the wave propagation characteristics were analyzed according to the numerical examples.The results show that there exist the band gap and the pass gap in the process of wave propagation.For the certain frequency ranges,the elastic foundations can restrict the propagation of flexural wave,and the change of the length ratio has a significant impact on the amplitude,width and the number of the gap band.Therefore,it is possible to change the wave propagation characteristics of the structure by adjusting the structural dimension parameters.
作者 鞠海燕 扶名福 徐斌 JU Hai-yan;FU Ming-fu;XU Bin(School of Civil Engineering and Architecture, Nanchang University, Nanchang 330031, China;Jiangxi Provincial Engineering Research Center of the Special Reinforcement and Safety Monitoring Technology in Hydraulic & Civil Engineering, Nanchang Institute of Technology, Nanchang 330099, China)
出处 《水电能源科学》 北大核心 2018年第4期96-98,81,共4页 Water Resources and Power
基金 国家自然科学基金项目(51269021 51569016) 江西省科技厅项目(20133ACB20006 20122BBG70174 20142BAB206001 S2016SFYBG0137) 江西省教育厅科技项目(GJJ14755 GJJ151096) 赣鄱英才555工程
关键词 钢筋混凝土管道 弹性地基 能量带 振动特性 Flugge壳体理论 reinforced concrete pipe elastic foundation energy band vibration characteristics Flugge shell theory
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