Transverse free vibrations of tapered cantilever beam
Other Title(s)
الاهتزازات الحرة المستعرضة في العتبة الناتئة المتدرجة
Author
Source
The Iraqi Journal for Mechanical and Materials Engineering
Issue
Vol. 13, Issue 2 (30 Jun. 2013), pp.254-269, 16 p.
Publisher
University of Babylon College of Engineering
Publication Date
2013-06-30
Country of Publication
Iraq
No. of Pages
16
Main Subjects
Topics
Abstract EN
Rayleigh and Rayleigh-Ritz represent the two approximate analytical methods which can be used in this paper in order to study the characteristics of free transverse vibrations of cantilever beam in the two cases.
The first one is at tapered thickness and constant width while the second case is at tapered width and.
The free end of the cantilever is sharp in both cases and is of different values of length.
The study selects the value of thickness at clamped end (hc) and change the values of width at this end (wc) with thickness ratio which equals to (= hcwc0.1–5).
The second case on the other hand, can select the value of width (wc) at clamped end then change the thickness (hc) at ratio (= wchc0.1–5).
Throughout the results, it is shown that the cantilever beam at tapered thickness has natural frequency lesser than that of tapered width of the same length and at the same dimensions of clamped end, the natural frequency decrease with increasing the length of cantilever beam also with decreased the value of tapered thickness or tapered width according to this study.
In case of different values of tapered width for the same length of beam and the same value of thickness at clamped end the cantilevers have the same value of frequency, also the cantilevers have constant frequency at tapered thickness for different values of (hcwc), while in the case of tapered width the frequency increases with increasing the value (wchc) for the same (wc) and at the same length of cantilever beam.
American Psychological Association (APA)
al-Rahimi, Nawal Husayn. 2013. Transverse free vibrations of tapered cantilever beam. The Iraqi Journal for Mechanical and Materials Engineering،Vol. 13, no. 2, pp.254-269.
https://search.emarefa.net/detail/BIM-363769
Modern Language Association (MLA)
al-Rahimi, Nawal Husayn. Transverse free vibrations of tapered cantilever beam. The Iraqi Journal for Mechanical and Materials Engineering Vol. 13, no. 2 (2013), pp.254-269.
https://search.emarefa.net/detail/BIM-363769
American Medical Association (AMA)
al-Rahimi, Nawal Husayn. Transverse free vibrations of tapered cantilever beam. The Iraqi Journal for Mechanical and Materials Engineering. 2013. Vol. 13, no. 2, pp.254-269.
https://search.emarefa.net/detail/BIM-363769
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 269
Record ID
BIM-363769