THE EFFECT OF THE INTERMEDIATE SUPPORT POSITIONS ON THE DYNAMIC BEHAVIOR OF A CONTINUOUS BEAM WITH 3 SPANS AND FREE ENDS.

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Bibliographic Details
Title:	THE EFFECT OF THE INTERMEDIATE SUPPORT POSITIONS ON THE DYNAMIC BEHAVIOR OF A CONTINUOUS BEAM WITH 3 SPANS AND FREE ENDS.
Authors:	Praisach, Zeno-Iosif¹, Gillich, Gilbert-Rainer¹, Ardeljan, Dorel¹, Pîrşan, Dan-Alexandru¹, Paşcu, Constantin-Viorel¹
Source:	Annals of 'Constantin Brancusi' University of Targu-Jiu. Engineering Series / Analele Universităţii Constantin Brâncuşi din Târgu-Jiu. Seria Inginerie. 2021, Issue 2, p52-55. 4p.
Subjects:	Frequencies of oscillating systems, Mode shapes, Eigenvalues
Abstract:	The paper presents the modifications of the eigenvalues for a continuous beam with three spans, free at the ends. The analysis model studied is based on Euler-Bernoulli's theory of the continuous medium. By imposing the boundary conditions for each characteristic point of the beam and solving the resulting system of equations the characteristic relationship was established analytically, whose solutions represent the eigenvalues for the calculation of natural frequencies and the vibration mode shapes. For the first six vibration modes, the modifications of the eigenvalues are illustrated in 3D format, considering that the intermediate supports can occupy any position on the beam. [ABSTRACT FROM AUTHOR]
	Copyright of Annals of 'Constantin Brancusi' University of Targu-Jiu. Engineering Series / Analele Universităţii Constantin Brâncuşi din Târgu-Jiu. Seria Inginerie is the property of Universitatea Constantin Brancusi din Targu-Jiu and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database:	Engineering Source

Description
Abstract:	The paper presents the modifications of the eigenvalues for a continuous beam with three spans, free at the ends. The analysis model studied is based on Euler-Bernoulli's theory of the continuous medium. By imposing the boundary conditions for each characteristic point of the beam and solving the resulting system of equations the characteristic relationship was established analytically, whose solutions represent the eigenvalues for the calculation of natural frequencies and the vibration mode shapes. For the first six vibration modes, the modifications of the eigenvalues are illustrated in 3D format, considering that the intermediate supports can occupy any position on the beam. [ABSTRACT FROM AUTHOR]
ISSN:	18424856