Efficient isogeometric formulation for vibration analysis of complex spatial beam structures

Efficient isogeometric formulation for vibration analysis of complex spatial beam structures
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用于复杂空间梁结构振动分析的高效等几何公式

DOI:
10.1016/j.euromechsol.2017.07.006
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发表时间:
2017-11
期刊:
European Journal of Mechanics - A: Solids
影响因子:
--
通讯作者:
Hu Ping
Hu Ping
中科院分区:
其他
文献类型:
--
作者:
Zhang Xiangkui;Xia Yang;Hu Qingyuan;Hu Ping

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提出了一种有效的等几何曲梁单元,用于研究具有任意曲率和扭转的空间梁结构的自由振动特性。梁结构用多片非均匀有理B样条描述。等几何公式与Eroshenko梁理论被应用于整体公式。与以往的单块局部刚度矩阵和质量矩阵的计算方法相比,本文提出的多块结构刚度矩阵和质量矩阵的整体计算方法在处理复杂结构时是有效的。数值试验进行了一系列的模型,包括一个概念框架的汽车,以显示本方法的有效性。
Efficient isogeometric curved beam element is formulated to investigate the free vibration behavior of spatial beam structures with arbitrary curvature and torsion. Beam structures are described by multi-patch non-uniform rational B-splines. Isogeometric formulation with Timoshenko beam theory is applied with global formulation. Compared with prior formulations that use local formulation within a single patch, the present global formulation of stiffness and mass matrices for multi patch structures is effective in dealing with complex structures. Numerical tests are carried out on a series of models including a conceptual framework of an automobile to show the effectiveness of the present method.
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