| 三维退化纤维梁单元线性和非线性有限元分析 |
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| 引用本文： | 康澜,张其林.三维退化纤维梁单元线性和非线性有限元分析[J].土木与环境工程学报,2009,31(2):3-7. |
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| 作者姓名： | 康澜 张其林 |
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| 作者单位： | 同济大学,土木工程学院建筑工程系,上海,200092 |
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| 基金项目： | 世博轴超大跨度索膜及单层复杂壳体结构专项技术研究(08dz0580303) |
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| 摘 要： | 为了解决曲线梁、任意形状截面梁、以及复合材料梁等结构的计算问题，基于退化理论推导得到三维退化纤维梁单元。该单元采用平截面基本假设，考虑剪切变形的影响，用轴线节点位移表示梁单元任意一点的三维位移场。根据UL列式，推导得到该单元考虑几何非线性和材料非线性的切线刚度矩阵。由上述理论编制了有限元计算程序，通过对几个典型算例的分析，证明了这种纤维退化梁单元的精确性、高效性和通用性。
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| 关 键 词： | 三维退化纤维梁单元 复合材料梁 任意形状截面 非线性有限元 |
Linear and Nonlinear Finite Element Analysis of a Degenerated 3D Beam Element |
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| KANG Lan and ZHANG Qi lin.Linear and Nonlinear Finite Element Analysis of a Degenerated 3D Beam Element[J].Journal of Civil and Environmental Engineering,2009,31(2):3-7. |
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| Authors: | KANG Lan and ZHANG Qi lin |
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| Affiliation: | Department of Building Engineering;College of Civil Engineering;Tongji University;Shanghai 200092;P.R.China |
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| Abstract: | In order to solve the calculation problems of the curved beam,an arbitrary cross-section beam and composite beam,a degenerated 3D fiber beam element is derived based on the degenerated theory.According to the basic assumption of plane section,the 3D displacement field equations of an arbitrary point are discretized in terms of nodal displacements,which take account of shear deformation effect.Furthermore,the tangent stiffness matrix formulation,which takes geometric and material nonlinearity into account,is... |
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| Keywords: | 3D degenerated fiber beam element composite beam arbitrary cross-section nonlinear finite element |
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