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| 控制机构加载下弹性扁平两杆桁架的稳定计算及参数影响分析 |
| STABILITY CALCULATION AND PARAMETRIC ANALYSIS OF AN ELASTIC FLAT TWO-BAR TRUSS UNDER CONTROLLED LOADING |
| 投稿时间：2024-04-01 修订日期：2024-05-17 |
| DOI： |
| 中文关键词: 扁平两杆桁架 控制加载 极值点 解析计算 参数分析 |
| 英文关键词:flat two-bar truss control loading limit-point analytical calculation parametric analysis |
| 基金项目:国家自然科学基金(52178467)；江西省教育厅项目(GJJ210858)；江西理工大学高层次人才项目(2021001) |
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| 中文摘要: |
| 基于压杆的弹性屈曲及完善体系分支点失稳特征,本文理论推导了控制机构加载下弹性扁平两杆桁架的竖向荷载-竖向位移关系解析计算表达式,给出了实验控制加载策略并绘制了加载全过程的荷载-位移曲线,结合ABAQUS数值分析结果以验证解析表达式的正确性,最后探究了结构高跨比和杆件柔度对其力学响应的影响。研究结果表明,确立的解析计算表达式可以反映扁平两杆桁架的“翻转”和超出线弹性范畴的现象及“急跳”或“跳跃”失稳现象,最大位移误差和最大荷载误差分别为1.59%和2.59%,解析计算表达式正确。极值点位移只与扁平两杆桁架的几何尺寸有关,而与杆件截面特性无关。随着结构高跨比的增大,极值点位移和极值点荷载增大。随着杆件柔度的增大,极值点荷载降低。研究成果可为桁架结构的稳定计算提供理论依据。 |
| 英文摘要: |
| Based on the elastic buckling of compression bars and the instability characteristics of bifurcation point buckling in the perfect system, analytical expressions for the vertical load versus vertical displacement relationship of a flat two-bar truss under control mechanism loading were theoretically derived in this paper. An experimental control loading strategy was provided and the load versus displacement curves throughout the loading process were plotted. ABAQUS numerical analysis results were combined to verify the correctness of the analytical expressions. Finally, the effects of structural height-to-span ratio and member flexibility on its mechanical response were analyzed. The research results indicate that the established analytical expressions can reflect the overturning phenomenon, exceeding elastic scope phenomenon, and snap-through instability phenomenon of the flat two-bar truss. The maximum errors of displacement and load are 1.59% and 2.59% respectively, thus the analytical expressions are correct. The limit-point displacement is only related to the geometric dimensions of the flat two-bar truss, but not related to the cross-sectional properties of the members. As the height-to-span ratio increases, the limit-point displacement and limit-point load increase. As the flexibility increases, the limit-point load decreases. The research results can provide a theoretical basis for the stability calculation of truss structures. |
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