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| Geometric nonlinear Eulerian stability theory for the stability analysis of shallow truss structures |
| Revised:May 08, 2005 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20074105 |
| KeyWord:truss structure,shallow truss,stability theory,eigenvalue theory,geometric nonlinear,critical point theory,eulerian theory |
| SUN Huan-chun WANG Yue-fang LIU Chun-liang |
| Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023,China |
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| Abstract: |
| Currently,there are two theories of stability: one is the classical eigenvalue theory,the other is nonlinear critical point theory.The former overestimated the stability resisting capacity of truss structures through examination of engineering application.The latter was presented to be suitable for all shallow truss structures.During the past years,the authors developed successively three theories of stability: linear and nonlinear Eulerian theories and critical point-Eulerian theory,and two algorithms for finding the critical load and optimum solution of cross-sectional area for truss structures undergoing small or large deformation.Through theoretical research and computation,and comparising some examples in international journals,the authors discovere that the eigenvalue theory is wrong;the critical point theory is only suitable for the shallow truss with large oblateness in the region of high-level load and large cross-sectional area,but it is wrong extended to all shallow truss structures.Research results of this paper provide us some useful conclusions: 1.the capabilities of various theories are given out,2.the correctness and incorrectness for some examples in international journals are pointed out.Thus,the theories of stability for truss structures are supplemented and become more complete and practical. |
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