Abstract

This work aims to improve the surface quality of commercially pure titanium (CP-Ti) with free alumina lapping fluid and establish the relationship between the main process parameters of lapping and roughness. On this basis, the optimal process parameters were searched by performing particle swarm optimization with mutation. First, free alumina lapping fluid was used to perform an L9(33) orthogonal experiment on CP-Ti to acquire data samples to train the neural network. At the same time, a BP neural network was created to fit the nonlinear functional relation among the lapping pressure P, spindle speed n, slurry flow Q and roughness Ra. Then, the range of the neuron numbers in the hidden layer of the neural network was determined by empirical formulas and the Kolmogorov theorem. On this basis, particle swarm optimization with mutation was used to search for the optimal process parameter configurations for lapping CP-Ti. The optimal process parameter configurations were used in the neural network to calculate the prediction value. Finally, the accuracy of the prediction was verified experimentally. The optimum process parameter configurations found by particle swarm optimization were as follows: the lapping pressure was 5 kPa, spindle speed was 60 r·min−1 and slurry flow was 50 ml·min−1. Then, the configurations were applied to a neural network to simulate prediction: the roughness was 0.1127 μm. The roughness obtained by experiments was 0.1134 μm. The error was 0.62%, which indicates that the well-trained neural network can achieve a good prediction when experimental data are missing. Applying the particle swarm optimization (PSO) algorithm with mutation to a neural network will obtain the optimal process parameter configurations, which can effectively improve the surface quality of CP-Ti lapped with free abrasive.

Highlights

  • Due to its excellent mechanical properties, such as high specific strength and high wear resistance and corrosion resistance, commercially pure titanium (CP-Ti) is widely used in aerospace, national defence, chemical and marine fields [1,2,3,4,5]

  • The results show that the proposed parameter-identification method based on the BPNN and particle swarm optimization (PSO) has fewer iterations and faster convergence speed than the standard PSO algorithm

  • J 1 where loss is the loss value calculated by MSE, y j pred is the predicted output given after the jth sample y j real is substituted into the neural network, y j real is the true value of the jth sample, and n is the total number of samples

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Summary

Introduction

Due to its excellent mechanical properties, such as high specific strength and high wear resistance and corrosion resistance, CP-Ti is widely used in aerospace, national defence, chemical and marine fields [1,2,3,4,5]. Coupled mechanical-chemical lapping has become an important means to achieve the high-efficiency and high-precision machining of CP-Ti and has been deeply studied in recent years. How to optimize lapping parameters to improve the surface quality of CP-Ti is an important problem. The quantum-based optimization method uses the wheel speed, work piece speed, depth of dressing and lead of dressing as control parameters. The empirical model uses the wheel speed, abrasive concentration, current, and pulse on time as control parameters. This method simultaneously analyses only two influencing factors for the surface roughness , which means that this method can only analyse the influence of each pair of parameters on the surface roughness. We need a method that can simultaneously consider all the parameters

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