![](/images/graphics-bg.png)
Discussion of the Improved Methods for Analyzing a Cantilever Beam Carrying a Tip-Mass under Base Excitation
Joint Authors
Hongjin, Wang
Qingfeng, Meng
Wuwei, Feng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-24
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Two improved analytical methods of calculations for natural frequencies and mode shapes of a uniform cantilever beam carrying a tip-mass under base excitation are presented based on forced vibration theory and the method of separation of variables, respectively.
The cantilever model is simplified in detail by replacing the tip-mass with an equivalent inertial force and inertial moment acting at the free end of the cantilever based on D’Alembert’s principle.
The concentrated equivalent inertial force and inertial moment are further represented as distributed loads using Dirac Delta Function.
In this case, some typical natural frequencies and mode shapes of the cantilever model are calculated by the improved and unimproved analytical methods.
The comparing results show that, after improvement, these two methods are in extremely good agreement with each other even the offset distance between the gravity center of the tip-mass and the attachment point is large.
As further verification, the transient and steady displacement responses of the cantilever system under a sine base excitation are presented in which two improved methods are separately utilized.
Finally, an experimental cantilever system is fabricated and the theoretical displacement responses are validated by the experimental measurements successfully.
American Psychological Association (APA)
Hongjin, Wang& Qingfeng, Meng& Wuwei, Feng. 2014. Discussion of the Improved Methods for Analyzing a Cantilever Beam Carrying a Tip-Mass under Base Excitation. Shock and Vibration،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1048051
Modern Language Association (MLA)
Hongjin, Wang…[et al.]. Discussion of the Improved Methods for Analyzing a Cantilever Beam Carrying a Tip-Mass under Base Excitation. Shock and Vibration No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1048051
American Medical Association (AMA)
Hongjin, Wang& Qingfeng, Meng& Wuwei, Feng. Discussion of the Improved Methods for Analyzing a Cantilever Beam Carrying a Tip-Mass under Base Excitation. Shock and Vibration. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1048051
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048051