| 孙焕纯,王跃方.对桁架结构稳定分析经典理论的讨论[J].计算力学学报,2005,22(3):316~319 |
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| 对桁架结构稳定分析经典理论的讨论 |
| Comment on classical theory of stability analysis for truss structures |
| 修订日期：2003-09-19 |
| DOI：10.7511/jslx20053063 |
| 中文关键词: 桁架,稳定性,临界荷载,屈曲理论 |
| 英文关键词:truss,stability,critical load,buckling theory |
| 基金项目:国家自然科学基金(100032010;10032030);大连理工大学211工程建设项目资助. |
| 孙焕纯 王跃方 |
大连理工大学工程力学系 辽宁大连116023
(孙焕纯)
，大连理工大学工程力学系 辽宁大连116023(王跃方)
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| 中文摘要: |
| 通过算例讨论了桁架结构稳定分析的经典理论,指出用该理论算出的临界荷载远远大于屈曲临界荷载,而且压杆的应力远远超过压缩强度极限。文中分析了问题的来源,提出了桁架结构临界荷载的屈曲理论计算方法,通过比较说明了屈曲理论的正确性。 |
| 英文摘要: |
| The classical theory of stability analysis for truss structures is investigated in details. It points out that the critical load obtained from the classical theory is unreasonably too larger than the one from the local buckling theory. It showed that the problem is due to the basic assumptions of the classical theory: (1)the axial compressive internal force is considered uniquely proportional to the external loading till a buckling happens, (2)the members remain in straight lines before the buckling, (3) the buckling is developed by a large deformation, causing the structure to lose its load-carrying capacity, and (4) the critical load is unrelated to the cross-sectional moment as well as the absolute length of the members. The authors point out that the above mentioned assumptions should be modified. Based on the local buckling theory a new approach is developed for computation on the critical loads of the structures. In this approach, the load of an initially small value is increased to a certain amount that makes a set of members locally buckle. The internal forces of the buckled members are kept fixed in following load increment procedures. The load is added further till the whole structure becomes a mechanism or totally loses its load-bearing capacity. The final load will be the critical load of the global stability problem. |
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