The Design And Experiments Of Longitudinal-flexural Resonating Transducer With A Large Load Used In Ultrasonic Grinding Based On The Mindlin Theory

Ultrasonic grinding is an approach of finishing process for hard and brittle materials,reducing cutting force and heat,and improving grinding accuracy and efficiency.As the actuator of ultrasonic grinding,the ultrasonic grinding machine is directly affected on processing quality by ultrasonic grinding transducer.Hence the design of the transducer is of great research importance.So far the design methods of the transducer are proposed on small cutting tools or single-material transducers,unsuitable for the large or multi-material ones.It limits the use of large ultrasonic grinding transducer.The vibration model of longitudinal-flexural resonating transducer is studied based on the Mindlin theory,as its design method is proposed.And the design software of the transducer is developed.A rotary ultrasonic grinding spindle on longitudinal-flexural vibration is designed by using the design method.The above researches provide a theological and experimental basis to design longitudinal-flexural resonating transducer with a large load.This paper consists of the following contents:(1)Based on the Mindlin theory,the expressions,such as displacement,of a flexural-vibrating annual plate is derived.Then the flexural resonance model of stepped annular stepped plate could be established with continuous and boundary conditions.With the model,the flexural resonance frequency was solved,and verified by finite-element simulation and resonance experiment.(2)By integrating a longitudinal-vibrating horn and a flexural-vibrating annual plate,the resonance model and frequency equation of longitudinal-flexural resonating transducer is established with continuous conditions of the horn and the annular plate.On the basis of the model,the transducer design method is proposed,as the resonance characteristic is also investigated.The transducer design method was proved to be effective with the accordance of theological solving,finite-element simulation,and resonance experiment,proving theological support for the transducer design.(3)Design software of ultrasonic grinding transducer was developed with MATLAB and ANSYS to improve design efficiency and reduce theoretical level required.Its design modular could evaluate the to-be-designed size of the transducer,as its assisted software for finite-element simulation automatically compiles command file and run the file to simulate the transducer.The simulation result is the basis on which the transducer is designed.(4)An ultrasonic grinding spindle on longitudinal-flexural resonance was designed.According to the selected transformer and the grinding tool,the transducer was designed by the transducer design method.The designed size was corrected through finite element simulation,as the position of flange plate is also obtained through it.