[1]Yan Anzhi,Tao Tianzeng,Zhang Zhenhua.The mode analysis of the cantilever beam with concentrated mass on its free end in the case of with and without damage[J].Journal of Zhengzhou University (Engineering Science),2016,37(05):39-42.[doi:10.13705/j.issn.1671-6833.2016.05.008]
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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
37卷
Number of periods:
2016 05
Page number:
39-42
Column:
Public date:
2016-11-25
- Title:
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The mode analysis of the cantilever beam with concentrated mass on its free end in the case of with and without damage
- Author(s):
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Yan Anzhi1; Tao Tianzeng2; Zhang Zhenhua1
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1. School of Civil Engineering, Henan University of Technology, Jiaozuo, Henan, 454000; 2. Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning, 116000
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- Keywords:
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cantilever beam; concentrated mass; moment of inertia; crack; finite element method
- CLC:
-
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- DOI:
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10.13705/j.issn.1671-6833.2016.05.008
- Abstract:
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Many structures in engineering practice can be simplified as a cantilever beam with concentrated mass at the end. The author established the finite element model of the cantilever beam with concentrated mass at the end by numerical simulation software, and carried out modal analysis. The concentrated mass at the end was studied. The effect of mass change on the natural frequency of the cantilever beam was established, and the model of the cantilever beam with I-type cracks (with lumped mass at the end and without lumped mass at the end) was established, and the position and depth of the crack were changed to study the crack depth. and the crack position on the frequency variation of the cantilever beam. Through comparison, it is found that the closer the crack is to the end, the smaller the impact on the beam frequency, and the concentrated mass has a certain influence on the natural frequency of the cracked cantilever beam.