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力学与实践 ›› 2019, Vol. 41 ›› Issue (6): 661-664.doi: 10.6052/1000-0879-19-368

• 应用研究 • 上一篇    下一篇

弹性结构横向弯曲振动传递率1)

丁虎*, 2), 邵志华   

  1. * 上海市应用数学和力学研究所,上海 200444;
    上海大学力学与工程科学学院,上海 200444
  • 收稿日期:2019-10-10 发布日期:2019-12-27
  • 通讯作者: 2) 丁虎,研究员,研究方向为连续体振动与控制。E-mail: dinghu3@shu.edu.cn
  • 基金资助:
    1) 上海市教委本科重点课程项目和国家自然科学基金项目(11772181)资助

TRANSMISSIBILITY OF TRANSVERSE BENDING VIBRATION OF ELASTIC STRUCTURES1)

DING Hu*, 2), SHAO Zhihua   

  1. * Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200444, China;
    * School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China
  • Received:2019-10-10 Published:2019-12-27

摘要: 振动的传递是振动理论的重要组成部分。在振动力学的教材中,对于离散结构的积极隔振和消极隔振,振动的传递率已有明确的定义。由于弹性结构的振动不止通过一个点传递,尚需讨论如何定义传递率。通过两端弹性支撑梁,定义了弹性结构横向弯曲振动的各支撑端点的振动传递表达式,及支撑点合力的振动传递率表达式。结果显示三种传递率可能存在较大的差别。建议将这一基本振动理论问题收录于教材,并早日进人本科生和研究生的教学课堂。

关键词: 弹性梁, 弯曲振动, 隔振, 弹性边界, 传递率

Abstract: Vibration transmission is an important part of vibration theory and an important criterion for evaluating vibration control effects. For positive and negative isolation of discrete structures, the transfer rate is clearly defined. Since the vibration of the elastic structure is not only transmitted through one point, it is necessary to discuss how to define the transverse vibration transmission of the elastic structure. Through the elastic beams supported by springs at both ends, three kinds of transmissibility definitions for the positive isolation of the transverse bending vibration of the elastic structure are given, which are the transmissibility of the component forces of the two support ends and the transmissibility of the combined force of the two support points. The results show that the transmissions defined by the three methods may be equal or there may be large differences. More complex than the discrete structure vibration isolation theory. In order to promote the development of basic theories and applications of vibration mechanics, it is recommended that this basic vibration problem be included in the textbook as part of the course on vibration mechanics.

Key words: elastic beam, bending vibration, isolation, elastic boundary, transmissibility

中图分类号: 

  • O321