Dynamic Properties of Steel Pipe-encased Concrete Arch Bridge Effected by Its Materials
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摘要: 采用空间有限元理论, 结合拱桥自身的受力特点, 将钢管混凝土拱桥离散成一系列空间梁单元和空间杆单元, 建立了有限元动力方程, 研究钢管混凝土拱桥中钢管和混凝土这两种材料对其动力特性的影响Abstract: Based on the spacial finite elements theory and combined with the bearing capacity of arch bridge, the steel pipe encased concrete arch bridge was divided into a series of spacial beam elements and truss elements to establish its finite elements dynamic equations. With these equations, the effection of steel pipe encased concrete arch bridge's dynamic performance by the materials characteristics of steel pipe and concrete was studied.
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Key words:
- steel pipe encased concrete /
- arch bridge /
- dynamic performance /
- spacial finite elements
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表 1 不同含钢率下钢管混凝土拱桥固有频率变化
含钢率 固有频率/Hz 一阶 二阶 三阶 0.05 0.629512 0.732116 1.062670 0.06 0.621835 0.731371 1.048914 0.07 0.611389 0.730424 1.030210 0.08 0.603838 0.729776 1.016713 0.09 0.596362 0.729151 1.003381 0.10 0.588535 0.728496 0.989468 0.11 0.583738 0.728086 0.980974 0.12 0.577107 0.727491 0.969278 0.13 0.571081 0.726909 0.958708 0.14 0.566828 0.726463 0.951290 0.15 0.562206 0.725935 0.943270 0.16 0.557498 0.725340 0.935157 0.17 0.553891 0.724835 0.928982 0.18 0.550550 0.724323 0.923299 0.19 0.546868 0.723699 0.917083 0.20 0.543521 0.723068 0.911480 0.25 0.531849 0.720181 0.892413 0.30 0.525932 0.717744 0.883405 0.35 0.527223 0.716925 0.886439 0.40 0.539257 0.719055 0.907446 0.45 0.570237 0.725678 0.961357 
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表 2 材料匹配对钢管混凝土拱桥固有频率的影响
钢材 混凝土 固有频率/Hz 1 2 3 Q235 C20 0.553398 0.724357 0.929773 C25 0.554484 0.724629 0.931615 C30 0.552316 0.724921 0.934839 C40 0.553764 0.726962 0.938217 C50 0.556860 0.728917 0.940806 C60 0.558453 0.729356 0.943838 Q345 C20 0.544794 0.722661 0.914918 C25 0.553897 0.724726 0.930462 C30 0.557889 0.725596 0.937283 C40 0.557899 0.725642 0.937234 C50 0.558384 0.727476 0.940643 C60 0.560486 0.729666 0.944053 Q390 C20 0.543626 0.722450 0.912089 C25 0.556100 0.725250 0.933470 C30 0.562742 0.726637 0.944945 C40 0.566456 0.727425 0.951378 C50 0.568210 0.728219 0.955627 C60 0.571702 0.728791 0.961234
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表 3 不同截面形式下拱桥固有频率
(Hz) 截面形状 自振频率阶数 含钢率 0.18 0.20 0.25 0.30 0.35 0.40 圆形截面 1 0.550 6 0.543 5 0.5318 0.5259 0.5272 0.5393 2 0.7243 0.7231 0.7202 0.7177 0.7169 0.7191 3 0.9233 0.9115 0.8924 0.8834 0.8864 0.9074 方形截面 1 0.6104 0.6033 0.5909 0.5831 0.5810 0.5864 2 0.7679 0.7666 0.7634 0.7603 0.7579 0.7571 3 1.0345 1.0214 0.9987 0.9846 0.9809 0.9906
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[1] 钟善桐. 高层钢管混凝土结构[M]. 哈尔滨: 黑龙江科学技术出版社, 1999.16-58. [2] 韩林海. 钢管混凝土结构[M]. 北京: 科学出版社, 2000.101-289. [3] 项海帆, 刘光栋. 拱结构的稳定与振动[M]. 北京: 人民交通出版社, 1991.160-247. [4] 石洞, 石志源, 黄东洲. 桥梁结构电算[M]. 上海: 同济大学出版社, 1987.234-267. -
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