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几何精确梁的Hamel场变分积分子 被引量：4

Hamel's Field Variational Integrator of Geometrically Exact Beam
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摘要 利用场论下的Hamel形式,对几何精确梁提出一种保结构的变分积分子,并通过数值仿真说明该算法保持能量、动量和几何结构的特性。 This paper develops a structure-preserving variational integrator for geometrically exact beam in Hamel＇s field formalism. A simulation illustrates that the derived algorithm preserves energy, momentum and geometry structure.
作者 王亮 安志朋 史东华
机构地区 北京理工大学数学与统计学院
出处 《北京大学学报（自然科学版）》 EI CAS CSCD 北大核心 2016年第4期692-698,共7页 Acta Scientiarum Naturalium Universitatis Pekinensis
基金 国家留学基金资助
关键词 几何精确梁 Hamel场变分积分子 保结构 geometrically exact beam Hamel＇s field variational integrator structure-preserving
分类号 O302 [理学—力学] O33 [理学—一般力学与力学基础]
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参考文献16

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二级参考文献38

  • 1Shabana A A,Yakoub R Y.Three dimensional absolute nodal coordinate formulation for beam elements:theory[J].J Mech Design,2001,123(4):606-613.
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共引文献11

同被引文献16

引证文献4

二级引证文献3

北京大学学报（自然科学版）
2016年 第4期

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