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| An exact finite element and a two-step algorithm for stability analysis of frame structures with open thin-walled sections |
| Received:May 20, 2011 Revised:October 31, 2011 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20123019 |
| KeyWord:finite element method thin-walled member stability analysis stiffness matrix exact element |
| Author | Institution |
| 李文雄 |
华南理工大学 土木工程系 亚热带建筑国家重点实验室, 广州 ;华南农业大学 水利与土木工程学院, 广州 |
| 马海涛 |
华南理工大学 土木工程系 亚热带建筑国家重点实验室, 广州 |
| 高兴军 |
华南理工大学 土木工程系 亚热带建筑国家重点实验室, 广州 |
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| Abstract: |
| Based on general solutions of the homogeneous governing equation for the stability analysis of thin-walled member with open section under eccentric axial load,new shape functions are constructed and a new finite element is formulated.The explicit expressions of element stiffness matrix and geometric stiffness matrix are derived.A two-step algorithm is proposed for stability analysis of thin-walled structures.The numerical examples are presented,confirming that exact solutions can be obtained even when each member is modeled with one element.All the critical loads and buckling modes in a given range can be determined with the proposed two-step algorithm. |