中文摘要：

提出了带有附加气室的空气弹簧的力学模型，建立了空气弹簧在汽车悬架中的数学模型．分析了空气弹簧的刚度特性，对其求解进行了简化，利用多尺度法对空气弹簧在正弦激励下的主共振响应进行了计算，得到了幅频响应关系．通过研究得到空气弹簧的振动过程中介于两种简化的力学模型之间，且呈现较强的非线性特点。

英文摘要：

In this paper, the dynamical model of air spring with auxiliary chamber is studied, and the mathematical model of air spring in car suspension is established. It also presents the analyses of its stiffness performance, solution simplification. The main resonance calculation of the sinusoidal excitation of air spring system by multi-scale method. The amplitude frequency relationship is gained. The vibration process of air spring is intervenient in two modified models through the research, and it represents strong nonlinear characteristics.