JOURNAL OF LIGHT INDUSTRY

CN 41-1437/TS  ISSN 2096-1553

基于几何精确Euler-Bernoulli梁单元的柔顺机构动力学分析

张志刚 ,  周翔 ,  毛红生 ,  王胜永

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张志刚, 周翔, 毛红生, 等. 基于几何精确Euler-Bernoulli梁单元的柔顺机构动力学分析[J]. 轻工学报, 2021, 36(3): 70-78. doi: 10.12187/2021.03.009
引用本文: 张志刚, 周翔, 毛红生, 等. 基于几何精确Euler-Bernoulli梁单元的柔顺机构动力学分析[J]. 轻工学报, 2021, 36(3): 70-78. doi: 10.12187/2021.03.009
shu
ZHANG Zhigang, ZHOU Xiang, MAO Hongsheng and et al. Dynamic analysis of compliant mechanism based on geometrically exact Euler-Bernoulli beam element[J]. Journal of Light Industry, 2021, 36(3): 70-78. doi: 10.12187/2021.03.009
Citation: ZHANG Zhigang, ZHOU Xiang, MAO Hongsheng and et al. Dynamic analysis of compliant mechanism based on geometrically exact Euler-Bernoulli beam element[J]. Journal of Light Industry, 2021, 36(3): 70-78. doi: 10.12187/2021.03.009
shu

基于几何精确Euler-Bernoulli梁单元的柔顺机构动力学分析

  • 郑州轻工业大学 河南省新能源汽车轻量化设计与制造工程研究中心, 河南 郑州 450002

    • 作者简介: 张志刚(1984-),男,河南省开封市人,郑州轻工业大学讲师,博士,主要研究方向为多体系统动力学与控制、机械系统动力学.;

  • 基金项目: 国家自然科学基金资助项目（11602228）；河南省科技攻关项目（202102210285）；郑州轻工业大学博士科研基金资助项目（2016BSJJ016）

  • 中图分类号: TH113

Dynamic analysis of compliant mechanism based on geometrically exact Euler-Bernoulli beam element

  • He'nan Engineering Research Center of New Energy Vehicle for Lightweight Design and Manufacturing, Zhengzhou University of Light Industry, Zhengzhou 450002, China

  • Received Date: 2020-06-17
    Accepted Date: 2020-12-05

    CLC number: TH113

  • 摘要: 基于几何精确梁理论（GEBT），研究大变形柔顺机构的动力学建模与仿真求解问题：依据Euler-Bernoulli梁变形假设，构造严格满足梁截面与形心线切向垂直关系的大变形梁单元变形场；利用虚功率原理推导几何精确Euler-Bernoulli梁单元的节点力、质量矩阵及广义外力，对柔顺四连杆机构和空间圆弧导向柔顺机构两种典型柔顺机构建立精确动力学模型，并进行仿真对比.仿真结果表明，与绝对节点坐标（ANCF）梁单元模型和ADAMS的数值结果相比，采用几何精确Euler-Bernoulli梁单元进行柔顺机构动力学仿真分析在计算效率和计算精度上均具有优越性.
    Abstract: The problems of dynamic modeling and simulation of compliant mechanisms with large deformation were investigated based on the geometrically exact beam theory (GEBT).Using the assumption of Euler-Bernoulli beam,the deformation field of the large deformation beam element was constructed,which could guarantee the perpendicularity between beam cross section and center line.The generalized element force,mass matrix and external force of the geometrically exact Euler-Bernoulli beam element were derived,and the accurately dynamic models of two typical compliant mechanisms including the compliant four-bar mechanism and spatial arc-guide compliant mechanism were established and simulated.The comparison of numerical results obtained by the proposed method,commercial software ADAMS and the absolute nodal coordinate formulation (ANCF) beam element model showed that using geometrically exact Euler-Bernoulli beam element for dynamic simulation analysis of compliant mechanism had advantages both in calculation efficiency and accuracy.
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  • 收稿日期:  2020-06-17
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张志刚, 周翔, 毛红生, 等. 基于几何精确Euler-Bernoulli梁单元的柔顺机构动力学分析[J]. 轻工学报, 2021, 36(3): 70-78. doi: 10.12187/2021.03.009
引用本文: 张志刚, 周翔, 毛红生, 等. 基于几何精确Euler-Bernoulli梁单元的柔顺机构动力学分析[J]. 轻工学报, 2021, 36(3): 70-78. doi: 10.12187/2021.03.009
shu
ZHANG Zhigang, ZHOU Xiang, MAO Hongsheng and et al. Dynamic analysis of compliant mechanism based on geometrically exact Euler-Bernoulli beam element[J]. Journal of Light Industry, 2021, 36(3): 70-78. doi: 10.12187/2021.03.009
Citation: ZHANG Zhigang, ZHOU Xiang, MAO Hongsheng and et al. Dynamic analysis of compliant mechanism based on geometrically exact Euler-Bernoulli beam element[J]. Journal of Light Industry, 2021, 36(3): 70-78. doi: 10.12187/2021.03.009
shu

基于几何精确Euler-Bernoulli梁单元的柔顺机构动力学分析

    作者简介:张志刚(1984-),男,河南省开封市人,郑州轻工业大学讲师,博士,主要研究方向为多体系统动力学与控制、机械系统动力学.
  • 郑州轻工业大学 河南省新能源汽车轻量化设计与制造工程研究中心, 河南 郑州 450002
  • 收稿日期: 2020-06-17
  • 录用日期: 2020-12-05
基金项目:  国家自然科学基金资助项目（11602228）；河南省科技攻关项目（202102210285）；郑州轻工业大学博士科研基金资助项目（2016BSJJ016）

摘要: 基于几何精确梁理论（GEBT），研究大变形柔顺机构的动力学建模与仿真求解问题：依据Euler-Bernoulli梁变形假设，构造严格满足梁截面与形心线切向垂直关系的大变形梁单元变形场；利用虚功率原理推导几何精确Euler-Bernoulli梁单元的节点力、质量矩阵及广义外力，对柔顺四连杆机构和空间圆弧导向柔顺机构两种典型柔顺机构建立精确动力学模型，并进行仿真对比.仿真结果表明，与绝对节点坐标（ANCF）梁单元模型和ADAMS的数值结果相比，采用几何精确Euler-Bernoulli梁单元进行柔顺机构动力学仿真分析在计算效率和计算精度上均具有优越性.

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