人字形组合臂架空间压杆线性稳定性分析

摘要/Abstract

摘要：

为研究人字形组合臂架结构的线性失稳载荷简易计算问题,进行了理论改进和仿真验证。首先从实体式人字形结构出发,采用柔度法推导出单柱轴向载荷算式,运用有限元和非线性拟合技术得到了法向铰约束下的等效约束系数，并结合算例检验了单柱近似失稳载荷算式的准确性;然后考虑剪力的不利影响,给出了人字形组合臂架线性失稳载荷算式;最后使用算式计算两种典型构件截面形式的28个人字形组合臂架结构，同时使用SAP 2000软件对其进行线性屈曲仿真。结果表明：对于十字形腹杆体系的人字形组合结构，臂架长宽比在1.790～5.865大范围内修正算式的计算精度有显著提高;当长宽比大于3时,误差基本呈减小趋势,并保持在-3.2%以内。

关键词: 人字形组合臂架, 空间压杆, 线性稳定性分析, 起重机

Abstract:

In order to study the simple computational method of an linear stability-losing load of an inverted-V combinatorial jib, this paper completed theoretical improvement, simulation and verification. Firstly on the inverted-V structure of solid column, an axial load formula was obtained based on flexibility method. Then, the finite element method and non-linear fitting technique were applied to get the equivalent constraint factor of the inverted-V structure under the constraints of normal hinge, and the accuracy of the single-column approximate stability-losing load formula was tested with two practical examples. After that, with the effects of shear force considered, the linear stability-losing load formula of the inverted-V combinatorial jib was proposed. After using the proved formulas and software SAP2000 in linear buckling analysis of 28 combinatorial jibs consisting of two kinds of typical-section rods, the results demonstrate that: as for the inverted-V combinatorial jibs consisting of cross-shaped web members, when the aspect ratio of the inverted-V combinatorial jib is in the broad range of 1.790~5.865, the calculation accuracy of the formulas increases significantly, and the errors are decreased and less than -3.2% when the aspect ratio is above 3.

Key words: inverted-V combinatorial jib, space compressive structure, linear stability analysis, crane

中图分类号:

TH21

周奇才, 李文军, 周在磊, 熊肖磊. 人字形组合臂架空间压杆线性稳定性分析[J]. 中国机械工程, 2013, 24(24): 3323-3328.

Zhou Qicai, Li Wenjun, Zhou Zailei, Xiong Xiaolei. Linear Stability Analysis of Space Compressive Structure of a Inverted-V Combinatorial Jib[J]. China Mechanical Engineering, 2013, 24(24): 3323-3328.

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