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山东大学学报 (工学版) ›› 2018, Vol. 48 ›› Issue (4): 78-87.doi: 10.6040/j.issn.1672-3961.0.2017.373

• 机器学习与数据挖掘 • 上一篇    下一篇

变质量弹性梁结构动力学特性

马驰骋1,2,郭宗和1,刘灿昌1,代祥俊1,张希农2,毛伯永2   

  1. 1. 山东理工大学交通与车辆工程学院, 山东 淄博 255000;2. 西安交通大学机械结构强度与振动国家重点试验室, 陕西 西安 710049
  • 收稿日期:2017-07-26 出版日期:2018-08-20 发布日期:2017-07-26
  • 作者简介:马驰骋(1989— ),男,山东潍坊人,讲师,博士,主要研究方向为结构动力学响应分析及振动控制.E-mail:machch@sdut.edu.cn
  • 基金资助:
    机械结构强度与振动国家重点实验室开放基金资助项目(SV2016-KF-07);山东省自然科学基金资助项目(ZR2016AL06,2016ZRB0179SF)

Dynamics charactersitics of flexible beams undergoing time varying mass

MA Chicheng1,2, GUO Zonghe1, LIU Canchang1, DAI Xiangjun1, ZHANG Xinong2, MAO Boyong2   

  1. 1. College of Transportation and Vehicles Engineering, Shandong University of Technology, Zibo 255000, Shandong, China;
    2. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, Shaanxi, China
  • Received:2017-07-26 Online:2018-08-20 Published:2017-07-26

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摘要： 以变质量弹性梁结构为力学模型,利用模态叠加法推导系统的运动方程,分析质量变化引起的非结构阻尼对系统振动的影响,使用自适应Newmark法求解系统的振动响应。设计变质量-弹性梁结构动力学测试试验,通过控制液体的流入流出实现系统质量的变化。采用时频分析技术处理时变系统的非平稳响应信号,在时频域上更全面得到了系统的振动特性。数值仿真和试验结果一致,说明建模以及试验设计的有效性。研究表明:系统质量减小会引起一个非结构负阻尼,对系统的振动影响非常显著,在机械臂等高精度结构设计时,不能忽略该非结构阻尼对系统振动特性的影响。

关键词: 变质量系统, 时变结构, 自适应Newmark法, 时频特性, 试验

Abstract: In terms of an elastic beam with a time varying mass, the oscillation equations were derived using mode superposition method, and the influences of the nonstructural damping induced by the changing mass were investigated. The differential equations were solved by self-adaptive Newmark method, then a relative confirmatory experiment was designed, while the change of the mass was realized by controlling the flow of water. The vibration signals were processed using time-frequency analysis toolkit, which showed more features of the time varying mass system in the time-frequency domain. The comparison of experimental results and numerical results demonstrated the feasibility of the proposed approach and the experimental test. The study showed that the nonstructural negative damping induced by the decreasing mass affected the motions significantly, which could not be neglected in the dynamic design of high precision structures as large-scale flexible robotic manipulators.

Key words: variable mass system, time varying structure, self-adaptive Newmark method, time frequency analysis, experiment

中图分类号: 

  • O329
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