Browsing by Subject "acceleration transmissibility"

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Access status: Open Access ,
Accounting for dry friction influence in oscillatory systems exposed to random excitation
(Wydawnictwa AGH, 2007) Stein, George Juraj; Zahoranský, Radúz
In analysis of translatory oscillatory systems the basis is a simple linear oscillator, whose mathematical treatment is well known. However, an important issue in many practical applications is the friction. This is specifically so for Iow intensity random kinematic excitation in form of acceleration, as is often the case in ground transportation. In the contribution two approaches to friction modelling are described and compared the signum function approach and the physically correct stick-slip approach, together with the commonly used harmonic balance method of Den Hartog. The differences are highlighted, indicating that the physically correct stick-slip approach describes the reality better than the computationally simpler signum approach. These effects are dependent on the relation between the dry friction force value and isolated body driving force, described by Den Hartog's factor K. It will be shown, that depending on the K factor value it is possible to decide which simulation method furnishes better prediction of vibration mitigation properties of an oscillatory system with friction. Moreover, the stick-slip model is of a generic nature and can be widely used for systems modelling. Its application circumvents deeper knowledge of advanced methods of non-linear analysis and enables better exploitation of the commercial simulation software.