Abstract:Based on an analysis of nonlinear spring forces and damping forces for automotive suspension and tire,a nonlinear dynamic model of automobile heave vibration system with two degress of freedom (DOF) was built.Then,an incremental harmonic balance method (IHBM) was adopted to quantitatively study the system.The process of IHBM was derived,and the iterative process was studied.Meanwhile,the steady periodic solution of automobile nonlinear system was obtained with some harmonic numbers and stability of the periodic solution was studied as well.Based on the tracing calculation with the circular frequency of road excitation as parameter,the amplitude-frequency response characteristic of the system at the primary resonance was obtained.The numerical simulation of the approximate periodic solution by the IHBM was compared with the numerical method.Results show that the IHBM is an effective way to analyze both weak and strong nonlinear dynamics in engineering practice.