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Investigating the sources of variability in the dynamic response of built-up structures through a linear analytical model
journal contribution
posted on 2016-10-27, 14:33 authored by Ali Abolfathi, Daniel O'BoyDaniel O'Boy, Stephen Walsh, Stephen A. FisherIt is well established that the dynamic response of a number of nominally identical builtup
structures are often different and the variability increases with increasing complexity
of the structure. Furthermore, the effects of the different parameters, for example the
variation in joint locations or the range of the Young's modulus, on the dynamic response
of the system are not the same. In this paper, the effects of different material and geometric
parameters on the variability of a vibration transfer function are compared using
an analytical model of a simple linear built-up structure that consist of two plates connected
by a single mount. Similar results can be obtained if multiple mounts are used. The
scope of this paper is limited to a low and medium frequency range where usually deterministic
models are used for vibrational analysis.
The effect of the mount position and also the global variation in the properties of the
plate, such as modulus of elasticity or thickness, is higher on the variability of vibration
transfer function than the effect of the mount properties. It is shown that the vibration
transfer function between the plates is independent of the mount property if a stiff enough
mount with a small mass is implemented. For a soft mount, there is a direct relationship
between the mount impedance and the variation in the vibration transfer
function. Furthermore, there are a range of mount stiffnesses between these two extreme
cases at which the vibration transfer function is more sensitive to changes in the stiffness
of the mount than when compared to a soft mount. It is found that the effect of variation
in the mount damping and the mount mass on the variability is negligible. Similarly, the
effect of the plate damping on the variability is not significant.
Funding
This work was supported by Jaguar Land Rover and the UK-EPSRC grant EP/K014102/1 as part of the jointly funded Programme for Simulation Innovation.
History
School
- Aeronautical, Automotive, Chemical and Materials Engineering
Department
- Aeronautical and Automotive Engineering
Published in
Journal of Sound and VibrationVolume
387Pages
163-176Citation
ABOLFATHI, A. ... et al., 2017. Investigating the sources of variability in the dynamic response of built-up structures through a linear analytical model. Journal of Sound and Vibration, 387, pp. 163-176.Publisher
© The Authors. Published by Elsevier Ltd.Version
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/Acceptance date
2016-10-14Publication date
2016-10-21Copyright date
2016Notes
This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).ISSN
0022-460XeISSN
1095-8568Publisher version
Language
- en