广东工业大学学报 ›› 2022, Vol. 39 ›› Issue (02): 76-83.doi: 10.12052/gdutxb.200172

• 综合研究 • 上一篇    下一篇

基于绝对节点坐标法的三维柔性旋转梁动力特性分析

张海波, 夏鸿建, 李德源, 刘佳宇   

  1. 广东工业大学 机电工程学院, 广东 广州 510006
  • 收稿日期:2020-12-21 出版日期:2022-03-10 发布日期:2022-04-02
  • 通信作者: 夏鸿建(1978-)，男，副教授，主要研究方向为风力机气动与结构， E-mail：hjxia@gdut.edt.cn
  • 作者简介:张海波(1993-)，男，硕士研究生，主要研究方向为绝对节点坐标方法的运用
  • 基金资助:
    国家自然科学基金资助项目(51776044)；广东省自然科学基金资助项目(2020A1515010844)

A Dynamic Characteristics Analysis of 3D Flexible Rotating Beam Based on Absolute Node Coordinate Formulation

Zhang Hai-bo, Xia Hong-jian, Li De-yuan, Liu Jia-yu   

  1. School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510006, China
  • Received:2020-12-21 Online:2022-03-10 Published:2022-04-02

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摘要： 主要研究了三维柔性旋转梁的动力特性。采用绝对节点坐标法和几何非线性变形假设，基于一般连续介质理论，建立三维柔性梁的非线性动力学模型；基于摄动理论，结合浮点坐标方法，采用线性化技术，建立柔性旋转梁的振动频域分析模型。对柔性梁自由单摆进行时域仿真，并分析了不同转速下三维柔性旋转梁的频域特性。结果表明，随着转速增加梁的动力刚化现象明显，且垂直旋转平面的模态振型和扭转、拉伸振型所对应的频率会逐渐转化为低阶频率，从而影响柔性梁的振动特性。

关键词: 绝对节点坐标法, 动力学方程, 连续介质理论, 模态振型, 三维柔性梁

Abstract: The dynamic characteristics of a three-dimensional(3D) flexible rotating beam is studied. Using the absolute node coordinate formulation and geometric nonlinear deformation hypothesis, the nonlinear dynamic model of 3D flexible beam is established based on the general continuum theory. Based on the perturbation theory and the floating-point coordinate method, the vibration frequency domain analysis model of the rotating flexible beam is established by using the linearization technique. Then, the time domain simulation of the free single pendulum of the flexible beam is carried out, and the frequency domain characteristics of the 3D flexible rotating beam at different speeds are analyzed. The results show that as the rotation speed increases, its dynamic stiffening phenomenon is obvious, and the frequency corresponding to the mode shape of the vertical rotation plane and the torsional and tensile modes will gradually be transformed into low-order frequencies, thereby affecting the vibration characteristics of the flexible beam.

Key words: absolute node coordinate formulation, dynamic equation, continuum theory, modal shape, three-dimensional flexible beam

中图分类号: 

  • O313
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