| 薄壁杆件结构一维有限元精确刚度矩阵 |
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| 引用本文： | 周华强,聂孟喜. 薄壁杆件结构一维有限元精确刚度矩阵[J]. 清华大学学报(自然科学版), 2009, 0(9) |
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| 作者姓名： | 周华强 聂孟喜 |
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| 作者单位： | 清华大学水利水电工程系; |
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| 摘 要： | 薄壁杆件结构广泛应用于公路桥梁、航空、造船、海洋工程等领域,但其结构分析计算较为复杂,为了得到更好的计算效果,研究了其静力分析的新方法。考虑弯扭耦合作用并重新推导了广义力和广义位移的关系,求解静力下的微分方程组时,把矩阵特征值解法与多项式特征解法结合在一起,得到了用于薄壁结构静力分析计算的有限元精确刚度矩阵。编写了有限元计算程序并引入算例验证,算例的结果表明:该方法的计算结果高效、准确,只用很少的有限元单元数目便可得到很精确的计算结果。
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| 关 键 词： | 薄壁结构 弯扭耦合 变分原理 多项式特征解 精确刚度矩阵 |
One-dimensional FEM exact stiffness matrix for thin-walled bar structures |
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| ZHOU Huaqiang,NIE Mengxi. One-dimensional FEM exact stiffness matrix for thin-walled bar structures[J]. Journal of Tsinghua University(Science and Technology), 2009, 0(9) |
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| Authors: | ZHOU Huaqiang NIE Mengxi |
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| Affiliation: | Department of Hydraulic Engineering;Tsinghua University;Beijing 100084;China |
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| Abstract: | Thin-walled bar structures are widely used in engineering projects such as highways,bridges,aviation,shipbuilding,marine engineering and other fields,but their structure mechanics analysis is complicated.In order to get better analysis results of this kind structure,a new method in the static condition is presented in this paper.The relationship between the generalized force and the generalized displacement used in exited methods is modified to consider the coupling of bending and torsion.The solution of th... |
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| Keywords: | thin-walled structures coupling of bending and torsion variational principle characteristic polynomial solution exact stiffness matrix |
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