On the dynamic behaviour of a mass supported by a parallel combination of a spring and an elastically connected damper
Brennan, M.J., Carrella, A., Waters, T.P. and Lopes, V. (2008) On the dynamic behaviour of a mass supported by a parallel combination of a spring and an elastically connected damper. Journal of Sound and Vibration, 309, (3-5), 823-837. (doi:10.1016/j.jsv.2007.07.074).
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Description/Abstract
This paper presents a consistent and concise analysis of the free and forced vibration of a mass supported by a parallel combination of a spring and an elastically supported damper (a Zener model). The results are presented in a compact form and the physical behaviour of the system is emphasised. This system is very similar to the conventional single-degree-of freedom system (sdof)—(Voigt model), but the dynamics can be quite different depending on the system parameters. The usefulness of the additional spring in series with the damper is investigated, and optimum damping values for the system subject to different types of excitation are determined and compared.
There are three roots to the characteristic equation for the Zener model; two are complex conjugates and the third is purely real. It is shown that it is not possible to achieve critical damping of the complex roots unless the additional stiffness is at least eight times that of the main spring. For a harmonically excited system, there are some possible advantages in using the additional spring when the transmitted force to the base is of interest, but when the displacement response of the system is of interest then the benefits are marginal. It is shown that the additional spring affords no advantages when the system is excited by white noise.
| Item Type: | Article |
|---|---|
| ISSNs: | 0022-460X (print) |
| Subjects: | Q Science > QC Physics T Technology > TA Engineering (General). Civil engineering (General) |
| Divisions: | University Structure - Pre August 2011 > Institute of Sound and Vibration Research > Dynamics |
| Item ID: | 49632 |
| Date Deposited: | 23 Nov 2007 |
| Last Modified: | 01 Jun 2012 15:25 |
| Contributors: | Brennan, M.J. (Author) Carrella, A. (Author) Waters, T.P. (Author) Lopes, V. (Author) |
| Date: | 22 January 2008 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/49632 |
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