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Torsion stiffness of a rubber bushing: a simple engineering design formula including amplitude dependence
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
Department of Applied Mechanics, CEIT and Tecnun (University of Navarra).
Department of Applied Mechanics, CEIT and Tecnun (University of Navarra).
2007 (English)In: Journal of Strain Analysis for Engineering Design, ISSN 0309-3247, E-ISSN 2041-3130, Vol. 42, no 1, 13-21 p.Article in journal (Refereed) Published
Abstract [en]

An engineering design formula for the torsion stiffness of a filled rubber bushing in the frequency domain, including the amplitude dependence, is presented. It is developed by applying a novel separable elastic, viscoelastic, and friction material model to an equivalent strain of the strain state inside the bushing, thus leading to an equivalent shear modulus that is inserted into an analytical formula for the torsion stiffness. The rubber model is the result of extending the force-displacement relation established in a sound rubber component model to the stress-strain level. Unlike other simplified methods, this procedure takes into account the variation in the properties inside the bushing owing to non-homogeneous strain states. Moreover, as this formula depends on the bushing geometry in addition to the material properties, it is a fast engineering tool to design the most suitable rubber bushing to fulfil user requirements. Furthermore, it is shown-by dividing the considered bushing into several slices, consequently each equivalent shear modulus is closer to the true value - that the approach of working with only one equivalent shear modulus for the whole bushing is accurate enough.

Place, publisher, year, edition, pages
2007. Vol. 42, no 1, 13-21 p.
Keyword [en]
filled rubber bushing, torsion stiffness, amplitude dependence, equivalent modulus
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-5874DOI: 10.1243/03093247JSA246ISI: 000244122200002Scopus ID: 2-s2.0-33846781423OAI: oai:DiVA.org:kth-5874DiVA: diva2:10399
Note

QC 20101112

Available from: 2006-06-01 Created: 2006-06-01 Last updated: 2016-05-16Bibliographically approved
In thesis
1. Engineering rubber bushing stiffness formulas including dynamic amplitude dependence
Open this publication in new window or tab >>Engineering rubber bushing stiffness formulas including dynamic amplitude dependence
2006 (English)Licentiate thesis, comprehensive summary (Other scientific)
Abstract [en]

Engineering design models for the torsion and axial dynamic stiffness of carbon black filled rubber bushings in the frequency domain including amplitude dependence are presented. They are founded on a developed material model which is the result of applying a separable elastic, viscoelastic and friction rubber component model to the material level. Moreover, the rubber model is applied to equivalent strains of the strain states inside the torsion or axial deformed bushing previously obtained by the classical linear theory of elasticity, thus yielding equivalent shear moduli which are inserted into analytical formulas for the stiffness. Therefore, unlike other simplified approaches, this procedure includes the Fletcher-Gent effect inside the bushing due to non-homogeneous strain states. The models are implemented in Matlab®. In addition, an experimental verification is carried out on a commercially available bushing thus confirming the accuracy of these models which become a fast engineering tool to design the most suitable rubber bushing to fulfil user requirements. Finally, they can be easily employed in multi-body and finite element simulations

Place, publisher, year, edition, pages
Stockholm: KTH, 2006. 28 p.
Series
Trita-AVE, ISSN 1651-7660 ; 2006:36
National Category
Reliability and Maintenance
Identifiers
urn:nbn:se:kth:diva-4017 (URN)
Presentation
2006-06-15, Sal MWL 74, KTH, Teknikringen 8, Stockholm, 10:30
Opponent
Supervisors
Note
QC 20101112Available from: 2006-06-01 Created: 2006-06-01 Last updated: 2010-11-12Bibliographically approved

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Kari, Leif

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