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.

研究了考虑多种非线性类型的新型5-DoF（自由度）振动带质量模型的摩擦诱导振动。系统中的第一类非线性是非线性接触刚度，第二类是包括粘滞，滑移和分离的非光滑行为，第三类是质量滑块上的运动载荷特征带来的几何非线性。刚性皮带。研究了系统的线性稳定性和非线性稳态响应，并揭示了系统的丰富动态行为。数值研究的结果表明，在摩擦引起的振动问题的研究中，必须进行瞬态动力学分析，因为当系统中存在两个稳定解时，线性稳定性分析无法检测到自激振动的发生。确定了系统稳态响应与某些参数的分叉行为。此外，还发现了每种非线性对系统的线性稳定性和非线性稳态响应的显着影响，这在研究摩擦引起的振动和噪声时必须考虑多种非线性。