Abstract

The precision of the contact model for a joint interface strongly depends on the fractal dimension and fractal roughness coefficient. In this paper, an improved deep neural network method was adopted to predict the surface appearance parameters. In order to meet the high accuracy requirements for the prediction results of the contact model, a novel surface appearance prediction model was established utilizing a regularized deep belief network. The Bayesian regularization strategy was used to reduce the network weights during unsupervised training, which can effectively restrain the contribution of unimportant neurons. This allows to limit the occurrence of overfitting, and the layer-by-layer training was performed for each hidden layer based on a continuous transfer function. Meanwhile, the surface appearance parameters of the joint interface could be obtained by plugging arbitrary machining parameters into the training model. The specific contact model was then established based on fractal theory by applying the above-mentioned prediction results. The parameters of the joint interface were used to simulate the frequencies and vibration modes of frame-shaped structural parts. The contact model was validated by comparing the simulation results with experimental data. The proposed model is expected to provide a theoretical basis for optimizing the structure and improving the accuracy of computerized numerical control machines.

Highlights

  • High-strength bolting is the main type of fixed connection for the structural parts of computerized numerical control (CNC) machines

  • The results show that the simulation results are again in good agreement with the experimental results for each order of the principal vibration mode, which demonstrates the high accuracy of the contact rigidity model for the bolted joint interface, and the vibration-deformation of the joint part can be simulated with a high degree of accuracy

  • 1) In order to determine the influence of cold machining parameters on the surface appearance of rough surfaces, a surface appearance prediction model was established utilizing a regularized deep belief network

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Summary

Introduction

High-strength bolting is the main type of fixed connection for the structural parts of computerized numerical control (CNC) machines. Zhang et al [6] established an elastic-plastic fractal model to calculate the energy dissipation occurring in case of tangential contact damping at a joint interface as a function of the stretch factor in the distributed domains of the micro-contact area, and analyzed how the fractal dimension D influences the damping loss. Yan expanded the two-dimensional characterization of a rough surface to a three-dimensional characterization method, combining it with the elastic-plastic contact mechanism [10] He derived the relationship between the total normal force and the actual contact area, as well as the relationships between the three-dimensional characterization and the fractal parameters, the material characteristics and the average distance between the surfaces. Wen et al proposed a calculation method on the assumption that the interface parameters of the joint part are equivalent to the fractal parameters of the profile of the rough surface, and established a model for the tangential contact rigidity of a joint part. The contact model was validated by comparing the theoretical data with the frequencies and vibration modes of frame-shaped structural parts determined through modal testing experiments under different pretension forces

Regularized deep belief network model
Structure of the neural network
The neural network algorithm
Training samples
Experimental results
Contact model
The real contact area model for the joint interface
Normal contact rigidity model for the joint interface
Tangential contact rigidity model for a joint interface
Normal contact damping model for a joint interface
Tangential contact damping model for the joint interface
Experimental analysis
Conclusions
Full Text
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