Friction-induced vibration considering multiple types of nonlinearities

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.

The establishment and dynamic analysis of a new friction model of brake pair considering interface morphology and particles

“…The gradually formed process means system has experienced stable to unstable change the change under the uncontrolled movement model caused by energy. Ouyang 41 studied the friction-induced vibration of a novel 5-DoF (degree-of-freedom) mass-on-oscillating-belt model considering multiple types of nonlinearities. He found that the steady-state response of the system was related to the bifurcation behavior of some parameters, which means each type of nonlinearity has significant effect on the linear stability and nonlinear steady-state responses of the system.…”

Investigation of the pad stiffness effects on the initiation of brake squeal phenomenon

“…Furthermore, the linear stability analysis approach on the investigation of squeal behavior was found to be misleading in some studies (Liu and Ouyang, 2020;Sinou, 2010;Zhang et al, 2016). Liu and Ouyang studied the dynamics of a disc brake system with a five degree of freedom mathematical model by numerical and analytical means.…”

“…Liu and Ouyang studied the dynamics of a disc brake system with a five degree of freedom mathematical model by numerical and analytical means. The authors included the effects due to contact stiffness, stick-slip and geometrical nonlinearities in their model and concluded that a nonlinear stability analysis was crucial for detection of squeal instability (Liu and Ouyang, 2020). Sinou claimed that the stability analysis performed on the linearized system provided limited information about dynamic behavior of the system.…”

Friction-induced planar vibration of a two-rigid-disc system with a finite contact area subjected to uncertain friction

“…Complex eigenvalue analysis (CEA) and transient dynamic analysis (TDA) are effective techniques for studying friction-induced vibration problems [24]. CEA, used in applications such as aeroelastic flutter [25] and brake squeal analysis [26], involves finding the equilibrium of the nonlinear system and linearising the system equations near this point to derive the stiffness and damping matrices.…”

“…CEA is widely used in industry due to its computational efficiency and its ability to quickly identify unstable modes [27]. TDA, on the other hand, provides a detailed time response of the system's dynamic behaviour, including stick-slip effects and bifurcation [28,24].…”