Abstract
The friction-induced vibration of a novel 5-DoF (degree-of-freedom) mass-on-oscillating-belt model considering multiple types of nonlinearities is studied. The first type of nonlinearity in the system is the nonlinear contact stiffness, the second is the non-smooth behaviour including stick, slip and separation, and the third is the geometrical nonlinearity brought about by the moving-load feature of the mass slider on the rigid belt. Both the linear stability of the system and the nonlinear steady-state responses are investigated, and rich dynamic behaviours of the system are revealed. The results of numerical study indicate the necessity of the transient dynamic analysis in the study of friction-induced-vibration problems as the linear stability analysis fails to detect the occurrence of self-excited vibration when two stable solutions coexist in the system. The bifurcation behaviour of the steady-state responses of the system versus some parameters is determined. Additionally, the significant effects of each type of nonlinearity on the linear stability and nonlinear steady-state responses of the system are discovered, which underlie the necessity to take multiple types of nonlinearities into account in the research of friction-induced vibration and noise.
Highlights
Friction-induced vibration is widespread in mechanical systems as well as in everyday life, e.g. the sound of bowed instruments, the squeaking windscreen wiper, the chattering machine tools, the stick–slip oscillations of drill strings and the automobile brake noise [1,2,3]
Elmaian et al [6] investigated the friction-induced vibration of a 3-DoF model that displayed three distinct dynamic states, i.e. stick, slip and separation, and the variations of time ratios of the three states in the whole process with the system parameters which can be linked to the appearance of different categories of noises
Brunetti et al [9] studied the dynamics of a periodic modular lumped model in which each module consists of a mass in frictional contact with the moving belt and a mass linked with the adjacent modules
Summary
Friction-induced vibration is widespread in mechanical systems as well as in everyday life, e.g. the sound of bowed instruments, the squeaking windscreen wiper, the chattering machine tools, the stick–slip oscillations of drill strings and the automobile brake noise [1,2,3]. Liu et al [22] investigated the effects of key parameters on the dynamic instability of a finite element brake model by employing the CEA method. The dynamics of a 5-DoF friction-excited slider-on-moving-belt model is studied, in which three representative types of nonlinearities in the friction-induced-vibration problems are present. The first type of nonlinearity is the nonlinear contact stiffness, the second is the non-smooth behaviours including stick, slip and separation, and the third is the geometrical nonlinearity brought about by the moving-load feature of the slider on the belt Both the linear stability of the system and the steadystate responses are investigated by means of the CEA and the TDA, respectively.
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