It set up the kinematical equation of a new type metal rubber squeezed film damper's rotor system based on the D’alembert principle herein. From the equation, it deduced the mathematical expression of the relative eccentricity of the rotor system. By contrast the film damper pressure distributing characteristics were analyzed between the traditional squeezed film damper and the new type metal rubber squeezed film damper. It proves the new type metal rubber squeezed film damper presents characteristics as film stiffness changing with linearity even under the large eccentricity ratio range, which can effectively improve the nonlinearity characteristics of the film stiffness of the traditional squeezed film damper.