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Dynamics of beam pair coupled by visco-elastic interlayer

SYSNO ASEP	0453509
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	Dynamics of beam pair coupled by visco-elastic interlayer
Author(s)	Náprstek, Jiří (UTAM-F)_{RID, ORCID, SAI} Hračov, Stanislav (UTAM-F)_{RID, SAI}
Number of authors	2
Source Title	Applied and Computational Mechanics - ISSN 1802-680X Roč. 9, č. 2 (2015), s. 127-140
Number of pages	14 s.
Publication form	Print - P
Language	eng - English
Country	CZ - Czech Republic
Keywords	double-beam dynamics ; visco-elastic interlayer ; kinematic damping
Subject RIV	JM - Building Engineering
R&D Projects	GP13-41574P GA ČR - Czech Science Foundation (CSF)
	GA15-01035S GA ČR - Czech Science Foundation (CSF)
Institutional support	UTAM-F - RVO:68378297
Annotation	An exact method is presented for solving the vibration of a double-beam system subject to harmonic excitation. The system consists of a loaded main beam and an auxiliary beam joined together using massless visco-elastic layer. The Euler-Bernoulli model is used for the transverse vibrations of beams, and the spring-dashpot represents a simplified model of viscoelastic material. The damping is assumed to be neither small nor proportional, and the forcing function can be either concentrated at any point or distributed continuously. The method involves a simple change of variables and modal analysis to decouple and to solve the governing differential equations respectively. A case study is solved in detail to demonstrate the methodology, and the frequency responses are shown in dimensionless parameters for low and high values of stiffness and damping of the interlayer. The analysis reveals two sets of eigen-modes: (i) the odd in-phase modes whose eigen-values and resonant peaks are independent of stiffness and damping, and (ii) the even out-of-phase modes whose eigen-values increase with raising stiffness and resonant peaks decrease with increasing damping. The closed-form solution and relevant plots (especially thethree-dimensional ones) illustrate not only the principles of the vibration problem but also shed light on practical applications.
Workplace	Institute of Theoretical and Applied Mechanics
Contact	Kulawiecová Kateřina, kulawiecova@itam.cas.cz, Tel.: 225 443 285
Year of Publishing	2016
Electronic address	http://www.kme.zcu.cz/acm/acm/article/view/292

Number of the records: 1