DRY FRICTION INFLUENCE IN AN OSCILLATORY SYSTEM EXPOSED TO LOW INTENSITY RANDOM EXCITATION

Abstract eng:
Friction influence in analysis of a single degree of freedom oscillatory system (SDOF) is either neglected or accounted for by analytical methods, assuming steady state harmonic excitation. However, these methods are not suitable when the oscillatory system is subjected to low intensity random excitation. Two approaches to friction inclusion into oscillatory system model will be explained – the commonly used approach using the signum function and a physically correct stick-slip approach consequently solving the describing set of equations in each system state. Their relative merits will be illustrated using a SDOF system subjected to low intensity random excitation. It will be shown that the best discriminator for using either of the simulation approaches is the socalled den Hartog’s factor K, relating the friction force to the excitation force. Comparison of simulation results will illustrate these findings and underline the advantages of the second approach from engineering point of view.

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