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考虑剪切效应的旋转FGM楔形梁刚柔耦合动力学建模与仿真

高晨彤 黎亮 章定国 钱震杰

高晨彤, 黎亮, 章定国, 钱震杰. 考虑剪切效应的旋转FGM楔形梁刚柔耦合动力学建模与仿真[J]. 力学学报, 2018, 50(3): 654-666. doi: 10.6052/0459-1879-18-011
引用本文: 高晨彤, 黎亮, 章定国, 钱震杰. 考虑剪切效应的旋转FGM楔形梁刚柔耦合动力学建模与仿真[J]. 力学学报, 2018, 50(3): 654-666. doi: 10.6052/0459-1879-18-011
Gao Chentong, Li Liang, Zhang Dingguo, Qian Zhenjie. DYNAMIC MODELING AND SIMULATION OF ROTATING FGM TAPERED BEAMS WITH SHEAR EFFECT[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(3): 654-666. doi: 10.6052/0459-1879-18-011
Citation: Gao Chentong, Li Liang, Zhang Dingguo, Qian Zhenjie. DYNAMIC MODELING AND SIMULATION OF ROTATING FGM TAPERED BEAMS WITH SHEAR EFFECT[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(3): 654-666. doi: 10.6052/0459-1879-18-011

考虑剪切效应的旋转FGM楔形梁刚柔耦合动力学建模与仿真

doi: 10.6052/0459-1879-18-011
基金项目: 国家自然科学基金(11772158, 11502113, 11602120)和中央高校基本科研业务费专项资金(30917011103)资助项目.
详细信息
    作者简介:

    通讯作者:章定国,教授,主要研究方向:多体系统动力学. E-mail:zhangdg419@mail.njust.edu.cn

    通讯作者:

    章定国

  • 中图分类号: O313;

DYNAMIC MODELING AND SIMULATION OF ROTATING FGM TAPERED BEAMS WITH SHEAR EFFECT

  • 摘要: 本文对一类中心刚体-柔性梁系统在大范围转动下的刚柔耦合动力学问题进行了研究. 柔性梁为功能梯度材料(functionally graded materials, FGM)楔形变截面梁,材料体积分数在梁轴向呈幂律分布变化. 以弧长坐标来描述柔性FGM梁的几何位移关系,分别使用倾角和拉伸应变变量描述柔性梁的横向弯曲和纵向拉伸变形,并计及剪切效应. 采用假设模态法离散变形场,运用第二类拉格朗日方程进行方程推导,得到系统考虑剪切效应的刚柔耦合动力学模型. 基于全新的刚柔耦合动力学建模理论,研究不同轴向材料梯度分布的FGM楔形梁,通过数值仿真计算,分析讨论不同的转速、梯度分布规律以及变截面参数对系统动力学特性的影响. 结果表明,剪切效应对大高跨比的FGM楔形梁的变形影响较为明显,不容忽略;材料梯度分布规律和截面参数的选取均会对旋转FGM楔形梁的动力学响应和频率产生较大影响. 本文提出的考虑剪切效应的倾角刚柔耦合动力学模型是对以往非剪切模型的进一步完善,可应用于工程中的 Timoshenko梁结构的动力学问题求解.

     

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出版历程
  • 收稿日期:  2018-01-04
  • 刊出日期:  2018-05-18

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