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Transverse, tilting and cross-coupling stiffness of cylindrical rubber isolators in the audible frequency range-The wave-guide solution
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, MWL Structural and vibroacoustics.
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, MWL Structural and vibroacoustics.ORCID iD: 0000-0001-5760-3919
2011 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 330, no 13, 3222-3244 p.Article in journal (Refereed) Published
Abstract [en]

Audio-frequency wave-guide models for antisymmetric dynamic stiffness of arbitrary long elastomer cylinders are presented. The locally non-mixed boundary conditions at the lateral and radial surfaces are simultaneously satisfied by using the modes corresponding to the dispersion relation for axial waves in cylinders satisfying the stress free boundary conditions at the curved radial boundaries, while the displacement conditions on the flat cylinder ends are satisfied by mode matching. The elastomer is modelled as nearly incompressible with deviatoric visco-elasticity based on a fractional derivative, standard linear solid embodying a Mittag-Leffler relaxation kernel, the main advantage being the minimum parameter number required to successfully model the material properties over a broad frequency band. The stiffness is found to depend strongly on frequency: displaying resonances and anti-resonances. The method is compared with and verified against finite element models. In addition, comparison to thin beam theories, i.e. Euler and Timoschenko theory and a simple shear model, is presented, illustrating the limitations of these models.

Place, publisher, year, edition, pages
Elsevier, 2011. Vol. 330, no 13, 3222-3244 p.
Keyword [en]
VIBRATION ISOLATORS; DYNAMIC STIFFNESS; CYLINDERS; PROPAGATION
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-33967DOI: 10.1016/j.jsv.2011.01.020ISI: 000290068300015Scopus ID: 2-s2.0-79953686773OAI: oai:DiVA.org:kth-33967DiVA: diva2:420126
Funder
TrenOp, Transport Research Environment with Novel Perspectives
Note

QC 20110531

Available from: 2011-05-31 Created: 2011-05-23 Last updated: 2017-12-11Bibliographically approved
In thesis
1. Modelling tools for quieter vehicles: Waves in poro– and visco–elastic continua
Open this publication in new window or tab >>Modelling tools for quieter vehicles: Waves in poro– and visco–elastic continua
2012 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

New modelling tools intended to contribute to the development of components for quieter vehicles are developed. The tools are based on continuum models for wave propagation in poro– and visco–elastic media. By using geometric attributes of the studied components, the computational cost may be radically decreased compared to traditional methods. By assigning known analytical functions for one or two of the spatial directions, the spatial dimension of the remaining numerical problem is reduced. This reduction of spatial dimensions is performed in two di↵erent ways. The first one treats wave propagation in infinitely extended homogeneous and hollowed cylindrical rods, or wave guides, consisting of visco–elastic media. The wave solutions obtained are then used to model rubber vibration isolators of finite length by mode–matching the fields to the radial boundary conditions of interest. The second one is a method for modelling rotationally symmetric multilayered structures consisting of poro–elastic, elastic and fluid domains. By using a harmonic expansion for the azimuthal spatial dependence, the original three–dimensional problem is split up into several, much smaller, two– dimensional ones, radically decreasing the computational load.

Moreover, using a mixed measurement/modelling approach, the audible frequency range characteristics of a viscous damper from a truck is studied, illustrating the influence of the rubber bushings by which it is attached to surrounding structures.

The modelling approaches presented in this thesis are intended as tools aiding the design process of new vehicles, enabling new technology striving for more sustainable vehicle concepts. More specifically, the tools aim to improve the modelling of sound and vibration properties which are often penalised when seeking new, more sustainable vehicle designs.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2012. ix, 39 p.
Series
Trita-AVE, ISSN 1651-7660 ; 2012:26
Keyword
Vibro-acoutics, poro-elastic, visco-elastic, reduced models, Harmonic expansion, wave guide
National Category
Fluid Mechanics and Acoustics
Identifiers
urn:nbn:se:kth:diva-95205 (URN)978-91-7501-381-7 (ISBN)
Public defence
2012-06-07, F3, Lindstedtsvägen 26, KTH, Stockholm, 10:00 (English)
Opponent
Supervisors
Projects
Centre for Eco2 Vehicle Design
Funder
TrenOp, Transport Research Environment with Novel Perspectives
Note

QC 20120522

Available from: 2012-05-22 Created: 2012-05-16 Last updated: 2013-04-11Bibliographically approved

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Kari, Leif

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