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| Solution of the geometrical and material nonlinear beams by using direct element-based equilibrium framework |
| Received:June 11, 2009 Revised:September 15, 2010 |
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| DOI：10.7511/jslx201105011 |
| KeyWord:beam element relationship of equilibrium geometrical nonlinearity material nonlinearity negative stiffness |
| Author | Institution |
| 李爽 |
哈尔滨工业大学 土木工程学院,哈尔滨 |
| 翟长海 |
哈尔滨工业大学 土木工程学院,哈尔滨 |
| 刘洪波 |
哈尔滨工业大学 土木工程学院,哈尔滨 ;黑龙江大学 建筑工程学院, 哈尔滨 |
| 谢礼立 |
哈尔滨工业大学 土木工程学院,哈尔滨 ;中国地震局 工程力学研究所,哈尔滨 ; |
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| Abstract: |
| The development of beam elements based on the relationship of equilibrium has become a very active research field in recent years because the kind of elements is more accurate than elements developed based on the relationship of compatibility. A method for geometrical nonlinear analysis of the beam element developed based on relationship of equilibrium is proposed. The method has two superiorities than existing methods: (1) avoids the potential problem of oscillatory elemental displacement field; (2) simplifies the implementation of the finite element code by "decoupling" the codes of geometrical nonlinear analysis and material nonlinear analysis. The beam element developed based on relationship of equilibrium fail to present a consistent response in the case of section with negative stiffness because the localization of deformation. To resolve the problem, a modified numerical integration strategy is proposed. A nonlinear finite element code is then developed and numerical examples are provided in order to verify the feasibility and effectivity of the presented method. |