金属橡胶三次非线性干摩擦系统振动响应计算方法研究

运用谐波平衡法(HB)及Fourier级数展开和谐波平衡法相结合的方法(FHB)对金属橡胶三次非线性干摩擦系统的振动响应进行了研究,发现当三次非线性因素较大时,HB法和FHB法结果相近,两种算法都可采用,而当三次非线性因素较小时,HB法和FHB法的结果差别较大,而FHB法在理论上更精确,因此应采用FHB法。对金属橡胶减振器做动态响应实验,发现减振器的固有频率和传递率幅值都表现出非线性特性。

Investigation on the computational method of vibration response of dry friction system with cubic nonlinearity for metal rubber

The vibration response of dry friction system with cubic nonlinearity for metal rubber was investigated under harmonic excitation by the harmonic balancing technique(HB) and the technique which links Fourier series with harmonic balancing technique(FHB). Some conclusions were given. If cubic nonlinear factor was bigger, the results of HB and FHB were near. Two computational methods could be both applied. However, if cubic nonlinear factor was smaller, the differences of two computational methods were great, FHB method was more accurate in theory, therefore FHB method should be applied. The experiment on the dynamic response of the damper for metal rubber was studied. It was shown that natural frequency and transmissibility amplitude for the damper had both nonlinear characteristics.