Considering the friction and lubrication between eccentric and inclined piston and cylinder,the dynamic damping characteristics of inflatable double cylinder hydraulic shock absorber were studied.The dynamic damping characteristics mathematical model and hydrodynamic lubrication equation of double cylinder hydraulic shock absorber with eccentric and inclined piston were established,and the dynamic damping characteristic mathematical equation of the shock absorber was solved.Using Reynolds cavitation boundary conditions and five point difference formula to discretize Reynolds equation,the friction damping force was obtained by successive over relaxation iteration method (SOR).The influence of eccentricity ratio,inclination angle,moving velocity of inclined piston,radius and width of piston on friction damping,and the influence of various friction factors on dynamic damping characteristics of shock absorber were analyzed.The results show that when the piston is eccentric or inclined,the oil film friction between the piston and the cylinder is increased with the increase of piston speed,eccentricity ratio,piston inclination angle and piston width,and is decreased with the increase of piston radius.The damping force will increase greatly when the piston is eccentric or inclined,which will seriously affect the comfort of driving.And the faster the piston speed,the more serious the impact on the comfort.