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双曲抛物面薄壳屋盖的制作与设计
引用本文:刘平安,廖小东,程雯玉,王铨.双曲抛物面薄壳屋盖的制作与设计[J].华东交通大学学报,2014(2):79-85.
作者姓名:刘平安  廖小东  程雯玉  王铨
作者单位:华东交通大学机电工程学院,江西南昌330013
基金项目:江西省科技支撑计划项目(20122BBE500041)
摘    要:为了方便双曲抛物面薄壳屋盖的制作,采用数学建模的方法对双曲抛物面薄壳屋盖进行理论计算,得到了直母线钢筋数以及直母线钢筋在空间的位置、锚固面方程以及与直母线交点、直母线之间的交点和直母线与锚固面的法线之间夹角的数学表达式。利用Matlab软件经过实例计算验证了其有效性,为今后双曲薄壳屋盖的制作提供了理论依据。

关 键 词:双曲薄壳屋盖  数学建模  预应力钢筋  锚固面

Production and Design of Hyperbolic Paraboloid Shell Roof
Liu Ping’an,Liao Xiaodong,Cheng Wenyu,Wang Quan.Production and Design of Hyperbolic Paraboloid Shell Roof[J].Journal of East China Jiaotong University,2014(2):79-85.
Authors:Liu Ping’an  Liao Xiaodong  Cheng Wenyu  Wang Quan
Institution:(School of Mechatronical Engineering, East China Jiaotong University, Nanchang 330013, China)
Abstract:Aiming at the production of hyperbolic paraboloid shell roof, this paper adopts the mathematical model-ing of hyperbolic paraboloid shell roof for theoretical calculation. It obtains the straight generatrix steel number, the position of the straight generatrix steel, anchoring surface equation in space, the intersection between rectilin-ear and straight generatrix and the mathematic expression of the angle between the generatrix and anchorage. Through the Matlab software, calculation results verify the effectiveness of the proposed model, which may provide a theoretical basis for the future production of hyperbolic shell roof.
Keywords:hyperbolic shell roof  mathematical modeling  prestressed reinforcement  anchor surface
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