南京林业大学学报(自然科学版) ›› 1991, Vol. 15 ›› Issue (03): 54-59.doi: 10.3969/j.jssn.1000-2006.1991.03.011

• 研究论文 • 上一篇    下一篇

带集中质量的弹性简支梁固有频率的计算

沈关福   

  1. 南京林业大学机械工程系
  • 出版日期:1991-09-18 发布日期:1991-06-18

THE CALCULATION OF NATURAL FREQUENCIES OF ELASTIC SIMPLY SUPPORTED BEAMS WITH CONCENTRATED MASS

Shen Guanfu   

  1. Department of Mechanical Engineering
  • Online:1991-09-18 Published:1991-06-18

摘要: <正>跨中带集中质量的弹性简支梁是工程振动测试和许多机械部件动力设计的理想力学模型,其基频和高阶固频的计算具有重要意义。本文给出了计算弹性梁全部固有频率的方法—精确法与矩阵迭代法,然后作为例子给出了前五阶固有频率值,并作了误差分析。

Abstract: The elastic simply-supported beam with lumped mass at its midst is an ideal mechanical model for engineering measuring and dynamic design of mechanical parts. There is an important significance to calculate their basic and higher natural frequencies. This paper gives out the methods calculating these frequencies-exact method and matrix iteration method. After that, for an example this paper gives five front natural frequencies and does analysis of accuracy.