Research on Assembly Error Transmission of Small Displacement Spinor Based on State Space Model

Abstract

In the assembly process of precision machinery, the error modeling of the assembly process is one of the important means to analyze the assembly error. This paper analyzes the error propagation in the assembly process, establishes a mechanical assembly error propagation model based on the small displacement spin (SDT) using the homogeneous transformation of robotics coordinates, and derives the state space expression of the mechanical assembly process. Finally, a primary and secondary mirror system is used as an example to analyze, using computer software simulation and state space equations to predict the final cumulative error of the assembly, which verifies the feasibility of the method for predicting the cumulative error of the precision assembly process.