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力学与实践 ›› 2015, Vol. 37 ›› Issue (1): 109-112.doi: 10.6052/1000-0879-13-503

• 应用研究 • 上一篇    下一篇

受压构件支承在受弯构件上钢结构的固有振动

吴晓   

  1. 湖南文理学院, 湖南常德 415000
  • 收稿日期:2013-12-26 修回日期:2014-02-24 出版日期:2015-02-15 发布日期:2015-02-14
  • 通讯作者: 吴晓,教授,主要从事工程力学研究. E-mail:wx2005220@163.com E-mail:wx2005220@163.com

INHERENT VIBRATION OF STEEL STRUCTURE WITH FLEXURAL MEMBER SUPPORTED BY COMPRESSION MEMBER

WU Xiao   

  1. Hunan University of Arts and Science, Changde 415000, Hunan, China
  • Received:2013-12-26 Revised:2014-02-24 Online:2015-02-15 Published:2015-02-14

摘要:

采用Laplace 变换及奇异函数研究了受压构件支承在受弯构件上钢结构的固有振动问题. 推导出受压构件支承在受弯构件上钢结构的受压构件及受弯构件的振型函数,利用支承处连续条件得到了受压构件支承在受弯构件上钢结构的固有振动频率特征方程. 通过算例分析,得到了随着轴向压力的增大,受压构件支承在受弯构件上钢结构的固有振动频率也增大的结论.

关键词:

构件|钢结构|固有振动|频率|Laplace变换

Abstract:

This paper studies the inherent vibration of steel structures with the flexural member supported by a compression member by the method of Laplace transformation and singular functions. The modal functions of the compression member and the flexural member are derived, and the characteristic equation for inherent vibration frequencies of a steel structure with the flexural member supported by a compression member is obtained by the continuous conditions of supporting. It is shown that its inherent vibration frequency increases with the axial pressure.

Key words:

member|steel structure|inherent vibration|frequency|Laplace transformation

中图分类号: 

  • O321