空气弹簧动态刚度和阻尼数学模型的建立

Mathematical model establishment for dynamic stiffness and damp of air spring

根据运动学、气体动力学和气体热力学相关理论,推导了某空气弹簧振动的动力学方程、流经阻尼孔气体流量的微分方程,建立了空气弹簧的动态刚度和阻尼数学模型.由该数学模型可知,空气弹簧动态刚度与阻尼和气室体积、阻尼孔直径、簧内初始压力、等效工作面积及主气室横截面积等参数有关,同时随外界激振频率而变化.以阻尼孔直径对空气弹簧的动态性能影响为例,验证了该模型是有效的、实用的.

According to the related theories of kinematics,gas dynamics and gas thermodynamics,the kinematical equations for vibration of the air spring,and the differential equation of the gas flow rate through the damping hole air spring through the damping hole gas were deduced firstly. Then,the mathematical model of dynamic stiffness and damping was established. The mathematical model showed that the dynamic stiffness and damping of the air spring were related to the parameters of air chamber volume,damping hole diameter,initial spring pressure,equivalent working area and cross-sectional area of main air chamber,at the same time they changed with external vibration frequency. Finally,taking the effect of damping hole diameter on dynamic performance of air spring as the example,the model was confirmed that it was effective and practical.