In this paper, a gear rack of a ship lift is taken as an example. This paper presents a method for analyzing the reliability of gear and rack movement under the influence of time-varying wear. The example of large modulus gear rack mechanism for ship lift is verified. Through the wear state of rack and pinion, the time dependent reliability equation of kinematic pair is established with the consideration of the original dimension error, gap error and wear effect. Based on the Archard wear model, the hardness and other factors under the influence of time variation are analyzed and the new kinematic pair model is established. Finally, the Matlab software is used to simulate the wear process of the rack and pinion. The influence degree of the above factors on the motion reliability of mechanism is analyzed. The results of simulation and analysis show that the method is more accurate and suitable for engineering application. It provides an important reference for the life prediction of gear rack and the development of maintenance and maintenance outline.
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