Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge
Joint Authors
Rossit, Carlos A.
Ratazzi, Alejandro R.
Bambill, Diana V.
Source
Chinese Journal of Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-14
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Engineering Sciences and Information Technology
Abstract EN
The study of the dynamic properties of beam structures is extremely important for proper structural design.
This present paper deals with the free in-plane vibrations of a system of two orthogonal beam members with an internal elastic hinge.
The system is clamped at one end and is elastically connected at the other.
Vibrations are analyzed for different boundary conditions at the elastically connected end, including classical conditions such as clamped, simply supported, and free.
The beam system is assumed to behave according to the Bernoulli-Euler theory.
The governing equations of motion of the structural system in free bending vibration are derived using Hamilton's principle.
The exact expression for natural frequencies is obtained using the calculus of variations technique and the method of separation of variables.
In the frequency analysis, special attention is paid to the influence of the flexibility and location of the elastic hinge.
Results are very similar with those obtained using the finite element method, with values of particular cases of the model available in the literature, and with measurements in an experimental device.
American Psychological Association (APA)
Ratazzi, Alejandro R.& Bambill, Diana V.& Rossit, Carlos A.. 2013. Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge. Chinese Journal of Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-486057
Modern Language Association (MLA)
Ratazzi, Alejandro R.…[et al.]. Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge. Chinese Journal of Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-486057
American Medical Association (AMA)
Ratazzi, Alejandro R.& Bambill, Diana V.& Rossit, Carlos A.. Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge. Chinese Journal of Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-486057
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486057