Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Náprstek, Jiří | |
dc.contributor.author | Hračov, Stanislav | |
dc.date.accessioned | 2016-01-18T06:14:34Z | |
dc.date.available | 2016-01-18T06:14:34Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Applied and Computational Mechanics. 2015, vol. 9, no. 2, p. 127-140. | en |
dc.identifier.issn | 1802-680X (Print) | |
dc.identifier.issn | 2336-1182 (Online) | |
dc.identifier.uri | http://www.kme.zcu.cz/acm/acm/article/view/292/335 | |
dc.identifier.uri | http://hdl.handle.net/11025/17450 | |
dc.description.abstract | An exact method is presented for solving the vibration of a double-beam system subjected 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 transvers e 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 dec ouple 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 mode s 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 increasin g damping. The closed-form solution and relevant plots (especially the three-dimensional ones) illustrate not only the principles of the vibration problem but also shed light on practical applications. | en |
dc.description.abstract | An exact method is presented for solving the vibration of a double-beam system subjected 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 transvers e 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 dec ouple 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 mode s 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 increasin g damping. The closed-form solution and relevant plots (especially the three-dimensional ones) illustrate not only the principles of the vibration problem but also shed light on practical applications. | en |
dc.format | 14 s. | cs |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | en |
dc.publisher | University of West Bohemia | en |
dc.relation.ispartofseries | Applied and Computational Mechanics | en |
dc.rights | © 2015 University of West Bohemia. All rights reserved. | en |
dc.subject | dvoupaprsková dynamika | cs |
dc.subject | viskoelastická mezivrstva | cs |
dc.subject | kinematické tlumení | cs |
dc.title | Dynamics of beam pair coupled by visco-elastic interlayer | en |
dc.type | článek | cs |
dc.type | article | en |
dc.rights.access | openAccess | en |
dc.type.version | publishedVersion | en |
dc.subject.translated | double-beam dynamics | en |
dc.subject.translated | visco-elastic interlayer | en |
dc.subject.translated | kinematic damping | en |
dc.type.status | Peer-reviewed | en |
Appears in Collections: | Volume 9, number 2 (2015) Volume 9, number 2 (2015) |
Files in This Item:
File | Description | Size | Format | |
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Naprstek.pdf | Plný text | 2,1 MB | Adobe PDF | View/Open |
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11025/17450
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