Forced Vibration of a Timoshenko Beam Subjected to Stationary and Moving Loads Using the Modal Analysis Method
Joint Authors
Park, Ilwook
Kim, Taehyun
Lee, Usik
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-04
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
The modal analysis method (MAM) is very useful for obtaining the dynamic responses of a structure in analytical closed forms.
In order to use the MAM, accurate information is needed on the natural frequencies, mode shapes, and orthogonality of the mode shapes a priori.
A thorough literature survey reveals that the necessary information reported in the existing literature is sometimes very limited or incomplete, even for simple beam models such as Timoshenko beams.
Thus, we present complete information on the natural frequencies, three types of mode shapes, and the orthogonality of the mode shapes for simply supported Timoshenko beams.
Based on this information, we use the MAM to derive the forced vibration responses of a simply supported Timoshenko beam subjected to arbitrary initial conditions and to stationary or moving loads (a point transverse force and a point bending moment) in analytical closed form.
We then conduct numerical studies to investigate the effects of each type of mode shape on the long-term dynamic responses (vibrations), the short-term dynamic responses (waves), and the deformed shapes of an example Timoshenko beam subjected to stationary or moving point loads.
American Psychological Association (APA)
Kim, Taehyun& Park, Ilwook& Lee, Usik. 2017. Forced Vibration of a Timoshenko Beam Subjected to Stationary and Moving Loads Using the Modal Analysis Method. Shock and Vibration،Vol. 2017, no. 2017, pp.1-26.
https://search.emarefa.net/detail/BIM-1204374
Modern Language Association (MLA)
Kim, Taehyun…[et al.]. Forced Vibration of a Timoshenko Beam Subjected to Stationary and Moving Loads Using the Modal Analysis Method. Shock and Vibration No. 2017 (2017), pp.1-26.
https://search.emarefa.net/detail/BIM-1204374
American Medical Association (AMA)
Kim, Taehyun& Park, Ilwook& Lee, Usik. Forced Vibration of a Timoshenko Beam Subjected to Stationary and Moving Loads Using the Modal Analysis Method. Shock and Vibration. 2017. Vol. 2017, no. 2017, pp.1-26.
https://search.emarefa.net/detail/BIM-1204374
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1204374