空间管桁架结构刚度等效研究

Equivalent study on stiffness of space truss structure

  • 摘要: 针对空间管桁架结构简化过程中缺乏理论指导的问题,运用材料力学知识对空间管桁架结构等效抗弯惯性矩进行推导,并提出相应计算公式。同时基于扭转应变能相等原理建立管桁架的腹杆以及上下平联的等效薄板厚度计算公式,构造出连续化的等效截面,运用薄壁杆件理论提出空间管桁架结构的等效抗扭惯性矩计算公式。利用悬臂法验证等效惯性矩计算公式的准确性。对兰州奥体中心网球馆进行等效分析。结果表明:提出的等效惯性矩计算公式较为合理,与悬臂法计算结果的误差在4%以内;在自重作用下,网球馆原结构与简化结构最大位移值和最大应力值误差不超过9%;网球馆原结构与简化结构前5阶的振型相似,固有频率的误差不超过4%,简化结构具有较高精度。

     

    Abstract: To solve the problem of a lack of theoretical guidance in the simplification process of space pipe truss structure, the equivalent bending moment of inertia of space pipe truss structure was deduced by using the knowledge of material mechanics, and the corresponding calculation formula was put forward. Based on the principle of equal torsional strain energy, the formulas for calculating the equivalent thin plate thickness of the web members and the top and bottom lateral bracing of the pipe truss were derived, and the continuous equivalent section was constructed. The formula for calculating the equivalent torsional moment of inertia of the space pipe truss structure was proposed by using the thin-walled bar theory. The cantilever method was used to verify the accuracy of the calculation formula of equivalent moment of inertia. The equivalent analysis of the tennis court of Lanzhou Olympic Sports Center was carried out. The results show that the formula for calculating the equivalent moment of inertia is reasonable, and its error is within 4% compared with that of the cantilever method. Under the action of deadweight, the errors of the maximum displacement value and the maximum stress value between the original structure and the simplified structure of the tennis court are less than 9%. The vibration modes of the first five steps of the original structure are similar to those of the simplified structure, and their errors of the natural frequency are less than 4%, so the simplified structure has high accuracy.

     

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