Error Analysis of Natural Vibration Characteristic of the Diamond Wire Saw

Abstract

As diamond wire saw machining device, the vibration characteristics of beaded rope has important implications on the processing quality and the service life. Based on it, this topic used the Galerk and complex modal method to research the changes of natural frequency of lateral vibration characteristics under different parameters, and comparative analyzed the effect of two methods on the natural vibration characteristics. Firstly, through an analysis on vibration mechanics model used complex modal method, the author obtained the exact solution of natural frequencies under different parameters, after that, utilized the Galerkin method to discrete the system vibration equations for getting the first N natural vibration characteristics. According to comparative analyzed the natural vibration characteristics of two algorithms, the results showed that, using appropriate Galerkin method will obtain more accurate solutions,as well as provide theoretical support on suppressing the vibration of beaded rope.